CN113484922A - Gravitational acceleration measuring method, device, storage medium and apparatus - Google Patents
Gravitational acceleration measuring method, device, storage medium and apparatus Download PDFInfo
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Abstract
The invention discloses a gravity acceleration measuring method, equipment, a storage medium and a device, wherein the method comprises the steps of obtaining the state information of a compound pendulum; determining the current swing state of the compound pendulum according to the compound pendulum state information; acquiring the angle change information of the compound pendulum in the current swing state; determining a complex pendulum period in the current pendulum state according to the angle change information; and determining the gravity acceleration of the current position according to the period of the compound pendulum. According to the invention, the current swing state of the compound pendulum is determined, the angle change information is obtained to determine the period of the compound pendulum, and then the gravity acceleration of the current position is determined, so that the gravity acceleration of the current position is accurately measured.
Description
Technical Field
The invention relates to the technical field of information measurement, in particular to a gravity acceleration measurement method, equipment, a storage medium and a device.
Background
The acceleration of gravity, also called the acceleration of free falling body, is generated by gravity, which is an important geophysical constant, and the acceleration value of each point on the earth varies with the latitude, altitude and geological structure of the area.
The most of the free falling body gravity acceleration measuring instruments in the current market adopt a cylinder device and a photoelectric gate arranged on the cylinder, the photoelectric gate consists of a small light-gathering bulb and a photosensitive tube, infrared laser emitted by the bulb penetrates through the transparent cylinder through the center of the cylinder to be received by the photosensitive tube, and the induction timing device counts time. However, this requires precise timing work, and it is difficult for a general device to measure accurate gravitational acceleration, which results in inaccurate measurement of gravitational acceleration at the current position.
The above is only for the purpose of assisting understanding of the technical aspects of the present invention, and does not represent an admission that the above is prior art.
Disclosure of Invention
The invention mainly aims to provide a method, equipment, a storage medium and a device for measuring gravitational acceleration, and aims to solve the technical problem that the gravitational acceleration is difficult to accurately measure in the prior art.
In order to achieve the above object, the present invention provides a gravitational acceleration measurement method, including the steps of:
acquiring compound pendulum state information;
determining the current swing state of the compound pendulum according to the compound pendulum state information;
acquiring angle change information of the compound pendulum in the current swing state;
determining a complex pendulum period in the current pendulum state according to the angle change information;
and determining the gravity acceleration of the current position according to the period of the compound pendulum.
Optionally, the step of determining the current swing state of the compound pendulum according to the compound pendulum state information includes:
according to the compound pendulum state information, carrying out stress analysis on the compound pendulum to determine a first moment of the compound pendulum;
determining a second moment of the compound pendulum through a rigid body dead axle rotation law according to the state information of the compound pendulum;
and determining the current swing state of the compound pendulum according to the fact that the first moment is equal to the second moment.
Optionally, the step of determining the first moment of the compound pendulum by performing stress analysis on the compound pendulum according to the compound pendulum state information includes:
determining the distance information from the mass center of the compound pendulum to the rotating shaft according to the state information of the compound pendulum;
extracting the quality information of the compound pendulum and the current angle information of the compound pendulum from the compound pendulum state information;
and carrying out stress analysis on the compound pendulum according to the distance information, the quality information and the current angle information to determine a first moment of the compound pendulum.
Optionally, the step of determining the distance information from the center of mass of the compound pendulum to the rotating shaft according to the state information of the compound pendulum includes:
extracting pendulum ball quality information, pendulum rod quality information, pendulum ball diameter information and pendulum rod length information of the compound pendulum from the compound pendulum state information;
and determining the distance information from the mass center of the compound pendulum to the rotating shaft according to the pendulum ball quality information, the pendulum rod quality information, the pendulum ball diameter information and the pendulum rod length information.
Optionally, the step of determining the second moment of the compound pendulum according to the state information of the compound pendulum through a rigid body dead axle rotation law includes:
extracting angular acceleration information and complex pendulum moment of inertia information of the complex pendulum from the complex pendulum state information;
and determining a second moment of the compound pendulum according to the angular acceleration information and the moment of inertia information of the compound pendulum through a rigid body dead axle rotation law.
Optionally, before the step of determining the gravitational acceleration of the current position according to the complex pendulum period, the method further includes:
determining the pendulum ball rotary inertia and the pendulum rod rotary inertia of the compound pendulum according to the pendulum ball mass information, the pendulum rod mass information, the pendulum ball diameter information and the pendulum rod length information;
determining the corresponding relation between the compound pendulum period and the gravity acceleration according to the pendulum ball rotational inertia, the pendulum rod rotational inertia and the compound pendulum period;
correspondingly, the step of determining the gravitational acceleration of the current position according to the complex pendulum period includes:
and determining the gravity acceleration of the current position according to the corresponding relation according to the period of the compound pendulum.
Optionally, the step of determining the complex pendulum period in the current pendulum state according to the angle change information includes:
determining the angle information of the compound pendulum and the time information corresponding to the angle information according to the change information of the compound pendulum angle;
and determining the complex pendulum period in the current state according to the angle information and the time information.
Furthermore, to achieve the above object, the present invention also proposes a gravitational acceleration measurement device comprising a memory, a processor and a gravitational acceleration measurement program stored on the memory and executable on the processor, the gravitational acceleration measurement program being configured to implement the steps of the gravitational acceleration measurement method as described above.
Furthermore, to achieve the above object, the present invention further provides a storage medium having a gravitational acceleration measurement program stored thereon, which when executed by a processor implements the steps of the gravitational acceleration measurement method as described above.
In addition, to achieve the above object, the present invention further provides a gravitational acceleration measuring device, including: the system comprises an information acquisition module, a state determination module, a period determination module and a gravity acceleration determination module;
the information acquisition module is used for acquiring the state information of the compound pendulum;
the state determining module is used for determining the current swing state of the compound pendulum according to the compound pendulum state information;
the information acquisition module is further used for acquiring the angle change information of the compound pendulum in the current swing state;
the period determining module is used for determining the complex pendulum period in the current pendulum state according to the angle change information;
and the gravity acceleration determining module is used for determining the gravity acceleration of the current position according to the complex pendulum period.
The invention provides a gravity acceleration measuring method, equipment, a storage medium and a device, wherein the method comprises the steps of obtaining the state information of a compound pendulum; determining the current swing state of the compound pendulum according to the compound pendulum state information; acquiring the angle change information of the compound pendulum in the current swing state; determining a complex pendulum period in the current pendulum state according to the angle change information; and determining the gravity acceleration of the current position according to the period of the compound pendulum. According to the invention, the current swing state of the compound pendulum is determined, the angle change information is obtained to determine the period of the compound pendulum, and then the gravity acceleration of the current position is determined, so that the gravity acceleration of the current position is more accurately measured.
Drawings
FIG. 1 is a schematic structural diagram of a gravitational acceleration measurement device in a hardware operating environment according to an embodiment of the present invention;
FIG. 2 is a schematic flow chart of a gravitational acceleration measuring method according to a first embodiment of the present invention;
FIG. 3 is a schematic flow chart of a gravitational acceleration measuring method according to a second embodiment of the present invention;
FIG. 4 is a schematic flow chart of a gravitational acceleration measuring method according to a third embodiment of the present invention;
fig. 5 is a block diagram of the gravitational acceleration measuring device according to the first embodiment of the present invention.
The implementation, functional features and advantages of the objects of the present invention will be further explained with reference to the accompanying drawings.
Detailed Description
It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
Referring to fig. 1, fig. 1 is a schematic structural diagram of a gravitational acceleration measuring apparatus in a hardware operating environment according to an embodiment of the present invention.
As shown in fig. 1, the gravitational acceleration measurement device may include: a processor 1001, such as a Central Processing Unit (CPU), a communication bus 1002, a user interface 1003, a network interface 1004, and a memory 1005. Wherein a communication bus 1002 is used to enable connective communication between these components. The user interface 1003 may include a Display screen (Display), and the optional user interface 1003 may further include a standard wired interface and a wireless interface, and the wired interface for the user interface 1003 may be a USB interface in the present invention. The network interface 1004 may optionally include a standard wired interface, a WIreless interface (e.g., a WIreless-FIdelity (WI-FI) interface). The Memory 1005 may be a Random Access Memory (RAM) Memory or a Non-volatile Memory (NVM), such as a disk Memory. The memory 1005 may alternatively be a storage device separate from the processor 1001.
Those skilled in the art will appreciate that the configuration shown in fig. 1 does not constitute a limitation of the gravitational acceleration measurement device, and may include more or fewer components than those shown, or some components in combination, or a different arrangement of components.
As shown in FIG. 1, a memory 1005, identified as one type of computer storage medium, may include an operating system, a network communication module, a user interface module, and a gravitational acceleration measurement program.
In the gravitational acceleration measurement device shown in fig. 1, the network interface 1004 is mainly used for connecting to a background server and performing data communication with the background server; the user interface 1003 is mainly used for connecting user equipment; the gravitational acceleration measurement device calls a gravitational acceleration measurement program stored in the memory 1005 through the processor 1001, and executes the gravitational acceleration measurement method provided by the embodiment of the present invention.
Based on the hardware structure, the embodiment of the gravity acceleration measuring method is provided.
Referring to fig. 2, fig. 2 is a schematic flow chart of a gravitational acceleration measuring method according to a first embodiment of the present invention, and the gravitational acceleration measuring method according to the first embodiment of the present invention is provided.
In a first embodiment, the gravitational acceleration measurement method comprises the steps of:
step S10: and acquiring the state information of the compound pendulum.
It should be understood that the execution subject of the present embodiment is a gravitational acceleration measurement device that includes an information acquisition module and an information processing module. The information acquisition module is used for acquiring data information required by calculation of the gravity acceleration. The information processing module is used for determining the local gravity acceleration according to the acquired data information.
The state information of the compound pendulum refers to the current motion state of the compound pendulum. The compound pendulum state information includes motion information, angle information, pendulum length information, swing amplitude, and the like of the compound pendulum. In this embodiment, the gravitational acceleration measuring apparatus may collect angle information, amplitude information, and the like in the compound pendulum state information by using a device such as an encoder, and the length information of the compound pendulum may be obtained by extracting stored data.
Step S20: and determining the current swing state of the compound pendulum according to the compound pendulum state information.
It should be noted that the current swing state refers to a motion state of the compound pendulum in the current state. Such as a simple harmonic motion state, a damped motion state, a conical pendulum state, and so forth. For example, when the compound pendulum has a swing angle of 1 degree, the compound pendulum performs damping motion, and when the compound pendulum has a swing angle of 5 degrees, the compound pendulum performs simple harmonic motion. In a specific implementation, the gravitational acceleration measuring device may determine the current swing state of the compound pendulum according to the angle information of the swing of the compound pendulum.
Step S30: and acquiring the angle change information of the compound pendulum in the current swing state.
The angle change information is a change state of the compound pendulum in a predetermined time. In this embodiment, the gravitational acceleration measurement device may record the angle change of the compound pendulum through a device such as an encoder, time the change of the compound pendulum according to a clock or other timing device, and determine the angle change information of the compound pendulum according to the angle information acquired by the encoder and the time information corresponding to each angle information. In the process of collecting the angle of the compound pendulum, the positive direction and the negative direction of the movement of the compound pendulum may be set, and the angle information of the compound pendulum may be collected within a certain period time, for example, the current angle information of the compound pendulum is collected according to the clock signal, and when the current clock signal compound pendulum is at three degrees in the positive direction, the current compound pendulum angle information is at three degrees in the positive direction, and similarly, when a certain clock signal compound pendulum period is at three degrees in the negative direction, the current compound pendulum angle information is at three degrees in the negative direction.
Step S40: and determining the complex pendulum period in the current pendulum state according to the angle change information.
It should be noted that the period of the compound pendulum refers to the time required for the compound pendulum to perform simple harmonic motion or damping motion to complete a complete motion period. In the period of the compound pendulum, the compound pendulum can completely complete one simple harmonic motion or damping motion. The gravity acceleration measuring device can determine a compound pendulum periodic signal according to the received compound pendulum angle information and the time information corresponding to the compound pendulum angle information. In this embodiment, the gravitational acceleration measuring device may determine the period of the compound pendulum according to the angle information corresponding to the compound pendulum at different acquisition times. The accuracy of the compound pendulum period can also be determined currently by averaging a large number of compound pendulum periods.
Step S50: and determining the gravity acceleration of the current position according to the period of the compound pendulum.
In this embodiment, when the current state of the compound pendulum is determined, the period of the compound pendulum is related to the gravitational acceleration at the current position. The period of the compound pendulum is influenced by the gravitational acceleration of the current position, and the period of the compound pendulum corresponds to the gravitational acceleration of the current position under the condition that the device information of the compound pendulum is determined. In specific implementation, the gravity acceleration measuring device can establish a relationship between the period of the compound pendulum and the gravity acceleration of the current position according to the pendulum length of the compound pendulum, the mass of the pendulum ball, the diameter of the pendulum ball and other information. And under the condition of determining the period of the compound pendulum, determining the gravity acceleration of the current position by inquiring the relation between the period of the compound pendulum and the gravity acceleration of the current position.
The embodiment provides a gravity acceleration measuring method, which comprises the steps of obtaining the state information of a compound pendulum; determining the current swing state of the compound pendulum according to the compound pendulum state information; acquiring the angle change information of the compound pendulum in the current swing state; determining a complex pendulum period in the current pendulum state according to the angle change information; and determining the gravity acceleration of the current position according to the period of the compound pendulum. In the embodiment, the current swing state of the compound pendulum is determined, the angle change information is acquired to determine the period of the compound pendulum, and then the gravitational acceleration of the current position is determined, so that the more accurate measurement of the gravitational acceleration of the current position is realized.
Referring to fig. 3, fig. 3 is a flowchart illustrating a gravitational acceleration measuring method according to a second embodiment of the present invention, and the gravitational acceleration measuring method according to the second embodiment of the present invention is proposed based on the first embodiment shown in fig. 2.
In the second embodiment, the step S20 includes:
step S201: and carrying out stress analysis on the compound pendulum according to the compound pendulum state information to determine a first moment of the compound pendulum.
It should be noted that the first moment is a moment that the compound pendulum receives when the compound pendulum is subjected to a stress analysis in the current state. In this embodiment, a rigid body with mass m swings left and right in a vertical plane around a fixed axis O, C is the center of mass of the object, the distance to the axis O is h, and θ is the swing angle. If the right corner is positive, the first moment M received by the rigid body1Opposite to the angular displacement direction, there are: m1In the formula, — mghsin θ (1), wherein M is1Is the first moment, m is the mass of the compound pendulum, and g is the acceleration of gravity. In the case where θ is small, sin θ ≈ θ, so that the expression (1) approximates to: m1＝-mghθ。
Step S202: and determining a second moment of the compound pendulum according to the state information of the compound pendulum through a rigid body dead axle rotation law.
It should be noted that the second moment is a moment applied to the compound pendulum calculated according to the rigid body dead axle rotation law when the compound pendulum is in the current swing state. In the present embodiment, the first torque and the second torque are equal, and the calculation manners of the first torque and the second torque are different. In this embodiment, the gravity acceleration measuring device can be obtained according to the rigid body dead axle rotation law
(2) Obtaining a second moment of the compound pendulum, wherein I is the moment of inertia of the compound pendulum,
representing the angular acceleration of the compound pendulum oscillation.
Step S203: and determining the current swing state of the compound pendulum according to the fact that the first moment is equal to the second moment.
It should be noted that, since the compound pendulum is in the same motion state, the moment received by the compound pendulum is the same. The relationship between the angular acceleration of the compound pendulum and the angle of the compound pendulum can be determined according to the same moment borne by the compound pendulum, and then the current motion state of the compound pendulum is determined.
In a specific implementation, the gravitational acceleration measurement device may determine the relationship between the angular acceleration of the compound pendulum and the compound pendulum angle according to equations (1) and (2) above. At omega2In the case of mgh/I, the approximate formula M may be according to the above formula (1)1-mgh θ and equation (2) can yield the equation:
(3). In the case of equation (3), it can be determined that the current oscillation state of the compound pendulum is simple harmonic motion.
It should be understood that, in the present embodiment, the gravitational acceleration of the current position is mainly determined by the simple harmonic motion of the compound pendulum, but in the case that the swing angle of the compound pendulum is small, the compound pendulum is greatly influenced by the environmental factors, and the motion of the compound pendulum is not the simple harmonic motion, but the damping motion. Of course, in the damped motion state, the gravitational acceleration at the current position can also be measured by the above-mentioned measuring method.
Wherein the step S201 includes:
step S2011: and determining the distance information from the mass center of the compound pendulum to the rotating shaft according to the state information of the compound pendulum.
It should be noted that the center of mass of the compound pendulum is the center of mass of the compound pendulum. The rotating shaft refers to a rotating position around which the compound pendulum swings, namely the vertex position of the compound pendulum. The distance information from the center of the pendulum ball of the compound pendulum to the rotating shaft is equal to the pendulum length of the compound pendulum. In this embodiment, the gravitational acceleration measuring device may measure the distance information from the center of mass of the compound pendulum to the rotating shaft through the length measuring module, and may also obtain the distance information from the center of mass of the compound pendulum to the rotating shaft through the measuring pendulum rod and the pendulum ball in a calculation manner.
Step S2012: and extracting the quality information of the compound pendulum and the current angle information of the compound pendulum from the compound pendulum state information.
It should be noted that the compound pendulum state information includes the mass information of the compound pendulum and the current angle information of the compound pendulum. When the first moment is calculated, the complex pendulum can be subjected to stress analysis, and the mass information and the current angle information of the complex pendulum need to be collected, so that the first moment on the complex pendulum is determined. In a specific implementation, the gravitational acceleration measuring device may extract the mass information of the compound pendulum and the current angle information of the compound pendulum from the compound pendulum state information by means of identifying the characteristic information, and of course, the gravitational acceleration measuring device may also obtain the mass information of the compound pendulum by means of mass measurement again and determine the current angle information of the compound pendulum by using the encoder, which is not limited specifically herein.
Step S2013: and carrying out stress analysis on the compound pendulum according to the distance information, the quality information and the current angle information to determine a first moment of the compound pendulum.
It should be noted that, in this embodiment, when the compound pendulum is at a certain angle, the gravitational acceleration measurement device may perform stress analysis on the compound pendulum to obtain a stress condition of the compound pendulum. And determining the resultant force borne by the compound pendulum according to the stress condition of the compound pendulum, and taking the resultant force borne by the compound pendulum as a first moment.
Wherein the step S2011 includes:
step S20111: and extracting pendulum ball quality information, pendulum rod quality information, pendulum ball diameter information and pendulum rod length information of the compound pendulum from the compound pendulum state information.
It should be noted that the compound pendulum includes a pendulum rod and a pendulum ball. The compound pendulum state information comprises pendulum ball quality information, pendulum rod quality information, pendulum ball diameter information and pendulum rod length information. When the distance information from the mass center of the compound pendulum to the rotating shaft is calculated, a mass center formula can be utilized,
calculating the distance h from the mass center of the compound pendulum to the rotating shaft, wherein,
refers to the unit mass information of the oscillating bar,
is the unit mass information of the pendulum ball,
as the length information of the swing rod,
the diameter information of the pendulum ball. When a mass center formula is used, the mass information of the pendulum ball, the mass information of the pendulum rod, the diameter information of the pendulum ball and the length information of the pendulum rod need to be collected, and then the distance information from the mass center of the compound pendulum to the rotating shaft is determined. In specific implementation, the gravity acceleration measuring device can extract pendulum ball mass information, pendulum rod mass information, pendulum ball diameter information and pendulum rod length information from the compound pendulum state information in a manner of also identifying characteristic information, and of course, the gravity acceleration measuring device can also measure the pendulum ball mass information, the pendulum rod mass information, the pendulum ball diameter information and the pendulum rod length information again in a manner of measuringThe method includes acquiring pendulum ball quality information, pendulum rod quality information, pendulum ball diameter information and pendulum rod length information, and is not specifically limited herein.
Step S20112: and determining the distance information from the mass center of the compound pendulum to the rotating shaft according to the pendulum ball quality information, the pendulum rod quality information, the pendulum ball diameter information and the pendulum rod length information.
It should be noted that, in the case of determining the pendulum ball mass information, the pendulum rod mass information, the pendulum ball diameter information, and the pendulum rod length information, the gravity acceleration measuring device may use the centroid formula
And calculating the distance h from the mass center of the compound pendulum to the rotating shaft.
Wherein the step S202 includes:
step S2021: and extracting the angular acceleration information and the moment of inertia information of the compound pendulum from the state information of the compound pendulum.
The complex pendulum state information includes angular acceleration information of the complex pendulum and moment of inertia information of the complex pendulum. When the second moment is calculated, the angular acceleration information and the moment of inertia information of the compound pendulum need to be acquired by using the rigid body dead axle rotation law, and then the second moment applied to the compound pendulum is determined. In a specific implementation, the gravity acceleration measuring device may extract the angular acceleration information and the complex pendulum moment of inertia information of the complex pendulum from the complex pendulum state information by means of identifying the characteristic information, and of course, the gravity acceleration measuring device may also obtain the angular acceleration information and the complex pendulum moment of inertia information by means of measuring again, which is not limited specifically herein.
Step S2022: and determining a second moment of the compound pendulum according to the angular acceleration information and the moment of inertia information of the compound pendulum through a rigid body dead axle rotation law.
It should be noted that, in this embodiment, the gravitational acceleration measuring apparatus utilizes the rigid body dead axle rotation law for the compound pendulum in a state where the compound pendulum is at a certain angle
The second moment M of the compound pendulum can be obtained2。
The embodiment provides a gravity acceleration measuring method, which comprises the steps of obtaining the state information of a compound pendulum; determining the current swing state of the compound pendulum according to the compound pendulum state information; acquiring the angle change information of the compound pendulum in the current swing state; determining a complex pendulum period in the current pendulum state according to the angle change information; and determining the gravity acceleration of the current position according to the period of the compound pendulum. In the embodiment, the current swing state of the compound pendulum is accurately determined, the angle change information is further accurately acquired to determine the period of the compound pendulum, and then the gravitational acceleration of the current position is determined, so that the more accurate measurement of the gravitational acceleration of the current position is realized.
Referring to fig. 4, fig. 4 is a flowchart illustrating a gravitational acceleration measuring method according to a third embodiment of the present invention, and the gravitational acceleration measuring method according to the third embodiment of the present invention is proposed based on the first embodiment shown in fig. 2.
In the third embodiment, the step S40 includes:
step S401: and determining the angle information of the compound pendulum and the time information corresponding to the angle information according to the change information of the compound pendulum angle.
The angle information is information of angles at different times when the compound pendulum swings. When a positive direction is defined, the angle information may be a positive angle or a negative angle. The time information refers to the acquisition time of the current angle information.
In specific implementation, the gravitational acceleration measuring device may determine angle information at different times according to the collected angle change information and record time information collected by the angle information. For example, the angle change information may be collected using clock signals with the same interval time when collecting the angle change information. And sequentially recording angle information from the acquired angle change information, and determining each angle information of the compound pendulum and the time information acquired by the angle according to the same interval time of the acquired angle information each time.
Step S402: and determining the complex pendulum period in the current state according to the angle information and the time information.
It should be noted that, in this embodiment, when determining each angle information and the time information corresponding to the angle information, the compound pendulum period may be determined according to the acquisition time information corresponding to the same angle. For example, when the pendulum ball of the compound pendulum is at an angle of three degrees, the current time information is recorded, and when the pendulum ball of the compound pendulum reaches the angle of three degrees, the time is the return time of the pendulum ball and does not need to be recorded; and when the pendulum ball of the compound pendulum reaches positive three degrees for the third time, recording the current time information, wherein the time information recorded at the positive three-degree angle for the first time and the time information recorded at the positive three-degree angle for the third time are the period of the compound pendulum.
The step S50 is preceded by:
step S501': and determining the pendulum ball moment of inertia and the pendulum rod moment of inertia of the compound pendulum according to the pendulum ball mass information, the pendulum rod mass information, the pendulum ball diameter information and the pendulum rod length information.
It should be noted that the compound pendulum is divided into a pendulum ball and a pendulum rod, and both the pendulum ball and the pendulum rod have certain mass and certain moment of inertia during the swinging. The pendulum ball rotary inertia is related to the mass of the pendulum ball and the distance from the pendulum ball to the rotating shaft, and similarly, the pendulum bar rotary inertia is related to the mass of the pendulum bar and the length information of the pendulum bar.
In specific implementation, the gravity acceleration measuring equipment can obtain the swing rod rotational inertia I of the compound pendulum according to a rotational inertia formula1According to the formula of inertia I1＝(m1l2) A/3 wherein m1The mass of the swing rod is l, and the length of the swing rod is l; pendulum ball moment of inertia I2According to the formula of inertia I2＝m2L2Wherein m is2For the pendulum ball mass, L is the distance from the center of the ball to the axis of rotation.
Step S502': and determining the corresponding relation between the period of the compound pendulum and the gravity acceleration according to the moment of inertia of the pendulum ball, the moment of inertia of the pendulum rod and the period of the compound pendulum.
It should be noted that, in the case of equation (3), it may be determined that the current oscillation state of the compound pendulum is a simple harmonic motion state. And the period of the compound pendulum is simple harmonic motion
(4). According to the formula (4), the moment of inertia of the pendulum ball and the moment of inertia of the pendulum rod, the corresponding relation g-4 pi between the period of the compound pendulum and the gravity acceleration can be obtained2(m1l2/3+m2L2)]/[(m1+m2)hT2]。
The corresponding step S50 is step S50': and determining the gravity acceleration of the current position according to the corresponding relation according to the period of the compound pendulum.
It should be noted that the gravitational acceleration measuring device may determine a compound pendulum period according to the angle change information, and in the case that the compound pendulum period is determined, may determine the gravitational acceleration at the current position according to the correspondence between the compound pendulum period and the gravitational acceleration.
The embodiment provides a gravity acceleration measuring method, which comprises the steps of obtaining the state information of a compound pendulum; determining the current swing state of the compound pendulum according to the compound pendulum state information; acquiring the angle change information of the compound pendulum in the current swing state; determining a complex pendulum period in the current pendulum state according to the angle change information; and determining the gravity acceleration of the current position according to the period of the compound pendulum. In the embodiment, the angle change information is obtained by determining the current swing state of the compound pendulum, the compound pendulum period is accurately determined according to the angle change information, and the gravity acceleration of the current position is determined according to the corresponding relationship between the compound pendulum period and the gravity acceleration, so that the gravity acceleration of the current position is more accurately measured.
Furthermore, an embodiment of the present invention further provides a storage medium, where a gravitational acceleration measurement program is stored on the storage medium, and the gravitational acceleration measurement program, when executed by a processor, implements the steps of the gravitational acceleration measurement method described above.
In addition, referring to fig. 5, an embodiment of the present invention further provides a gravitational acceleration measuring apparatus, where the gravitational acceleration measuring apparatus includes: the system comprises an information acquisition module 10, a state determination module 20, a period determination module 30 and a gravity acceleration determination module 40;
the information acquisition module 10 is configured to acquire complex pendulum state information;
the state determining module 20 is configured to determine a current swing state of the compound pendulum according to the compound pendulum state information;
the information acquisition module 10 is further configured to acquire angle change information of the compound pendulum in the current swing state;
the period determining module 30 is configured to determine a complex pendulum period in the current swing state according to the angle change information;
the gravitational acceleration determining module 40 is configured to determine a gravitational acceleration of the current position according to the complex pendulum period.
In the present embodiment, a gravitational acceleration measuring apparatus is provided, which obtains the state information of a compound pendulum through an information acquisition module 10; the state determining module 20 determines the current swing state of the compound pendulum according to the compound pendulum state information; the information acquisition module 10 acquires the angle change information of the compound pendulum in the current swing state; the period determining module 30 determines a complex pendulum period in the current pendulum state according to the angle change information; and the gravity acceleration determining module determines the gravity acceleration of the current position according to the complex pendulum period. In the embodiment, the current swing state of the compound pendulum is determined, the angle change information is acquired to determine the period of the compound pendulum, and then the gravitational acceleration of the current position is determined, so that the more accurate measurement of the gravitational acceleration of the current position is realized.
In an embodiment, the state determining module 20 is further configured to perform a stress analysis on the compound pendulum according to the compound pendulum state information to determine a first moment of the compound pendulum; determining a second moment of the compound pendulum through a rigid body dead axle rotation law according to the state information of the compound pendulum; and determining the current swing state of the compound pendulum according to the fact that the first moment is equal to the second moment.
In an embodiment, the state determining module 20 is further configured to determine distance information from a center of mass of the compound pendulum to the rotating shaft according to the state information of the compound pendulum; extracting the quality information of the compound pendulum and the current angle information of the compound pendulum from the compound pendulum state information; and carrying out stress analysis on the compound pendulum according to the distance information, the quality information and the current angle information to determine a first moment of the compound pendulum.
In an embodiment, the state determining module 20 is further configured to extract pendulum ball quality information, pendulum rod quality information, pendulum ball diameter information, and pendulum rod length information of the compound pendulum from the compound pendulum state information; and determining the distance information from the mass center of the compound pendulum to the rotating shaft according to the pendulum ball quality information, the pendulum rod quality information, the pendulum ball diameter information and the pendulum rod length information.
In an embodiment, the state determining module 20 is further configured to extract angular acceleration information and complex pendulum inertia moment information of the complex pendulum from the complex pendulum state information; and determining a second moment of the compound pendulum according to the angular acceleration information and the moment of inertia information of the compound pendulum through a rigid body dead axle rotation law.
In an embodiment, the gravitational acceleration determining module 40 is further configured to determine a pendulum ball inertia moment and a pendulum rod inertia moment of the compound pendulum according to the pendulum ball mass information, the pendulum rod mass information, the pendulum ball diameter information, and the pendulum rod length information; determining the corresponding relation between the compound pendulum period and the gravity acceleration according to the pendulum ball rotational inertia, the pendulum rod rotational inertia and the compound pendulum period; correspondingly, the step of determining the gravitational acceleration of the current position according to the complex pendulum period includes: and determining the gravity acceleration of the current position according to the corresponding relation according to the period of the compound pendulum.
In an embodiment, the period determining module 30 is further configured to determine angle information of the compound pendulum and time information corresponding to the angle information according to the change information of the compound pendulum angle; and determining the complex pendulum period in the current state according to the angle information and the time information.
Other embodiments or specific implementation manners of the gravity acceleration measuring device according to the present invention may refer to the above method embodiments, and are not described herein again.
It should be noted that, in this document, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or system that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or system. Without further limitation, an element defined by the phrase "comprising an … …" does not exclude the presence of other like elements in a process, method, article, or system that comprises the element.
The above-mentioned serial numbers of the embodiments of the present invention are merely for description and do not represent the merits of the embodiments. In the unit claims enumerating several means, several of these means may be embodied by one and the same item of hardware. The use of the words first, second, third, etc. do not denote any order, but rather the words first, second, third, etc. are to be interpreted as names.
Through the above description of the embodiments, those skilled in the art will clearly understand that the method of the above embodiments can be implemented by software plus a necessary general hardware platform, and certainly can also be implemented by hardware, but in many cases, the former is a better implementation manner. Based on such understanding, the technical solutions of the present invention or portions thereof that contribute to the prior art may be embodied in the form of a software product, where the computer software product is stored in a storage medium (e.g., a Read Only Memory (ROM)/Random Access Memory (RAM), a magnetic disk, an optical disk), and includes several instructions for enabling a terminal device (e.g., a mobile phone, a computer, a server, an air conditioner, or a network device) to execute the method according to the embodiments of the present invention.
The above description is only a preferred embodiment of the present invention, and not intended to limit the scope of the present invention, and all modifications of equivalent structures and equivalent processes, which are made by using the contents of the present specification and the accompanying drawings, or directly or indirectly applied to other related technical fields, are included in the scope of the present invention.
Claims (10)
1. A method of gravitational acceleration measurement, characterized in that the method comprises:
acquiring compound pendulum state information;
determining the current swing state of the compound pendulum according to the compound pendulum state information;
acquiring angle change information of the compound pendulum in the current swing state;
determining a complex pendulum period in the current pendulum state according to the angle change information;
and determining the gravity acceleration of the current position according to the period of the compound pendulum.
2. The method of claim 1, wherein the step of determining the current swing state of the compound swing from the compound swing state information comprises:
according to the compound pendulum state information, carrying out stress analysis on the compound pendulum to determine a first moment of the compound pendulum;
determining a second moment of the compound pendulum through a rigid body dead axle rotation law according to the state information of the compound pendulum;
and determining the current swing state of the compound pendulum according to the fact that the first moment is equal to the second moment.
3. The method of claim 2, wherein the step of force analyzing the compound pendulum to determine the first moment of the compound pendulum based on the compound pendulum state information comprises:
determining the distance information from the mass center of the compound pendulum to the rotating shaft according to the state information of the compound pendulum;
extracting the quality information of the compound pendulum and the current angle information of the compound pendulum from the compound pendulum state information;
and carrying out stress analysis on the compound pendulum according to the distance information, the quality information and the current angle information to determine a first moment of the compound pendulum.
4. The method of claim 3, wherein the step of determining the distance information of the center of mass of the compound pendulum to the rotation axis from the compound pendulum state information comprises:
extracting pendulum ball quality information, pendulum rod quality information, pendulum ball diameter information and pendulum rod length information of the compound pendulum from the compound pendulum state information;
and determining the distance information from the mass center of the compound pendulum to the rotating shaft according to the pendulum ball quality information, the pendulum rod quality information, the pendulum ball diameter information and the pendulum rod length information.
5. The method of claim 4, wherein the step of determining a second moment of the compound pendulum by rigid body dead axle rotation law based on the compound pendulum state information comprises:
extracting angular acceleration information and complex pendulum moment of inertia information of the complex pendulum from the complex pendulum state information;
and determining a second moment of the compound pendulum according to the angular acceleration information and the moment of inertia information of the compound pendulum through a rigid body dead axle rotation law.
6. The method of claim 5, wherein the step of determining the gravitational acceleration of the current location based on the complex pendulum period is preceded by the step of:
determining the pendulum ball rotary inertia and the pendulum rod rotary inertia of the compound pendulum according to the pendulum ball mass information, the pendulum rod mass information, the pendulum ball diameter information and the pendulum rod length information;
determining the corresponding relation between the compound pendulum period and the gravity acceleration according to the pendulum ball rotational inertia, the pendulum rod rotational inertia and the compound pendulum period;
correspondingly, the step of determining the gravitational acceleration of the current position according to the complex pendulum period includes:
and determining the gravity acceleration of the current position according to the corresponding relation according to the period of the compound pendulum.
7. The method of claim 1, wherein the step of determining the compound period in the current swing state according to the angle change information comprises:
determining the angle information of the compound pendulum and the time information corresponding to the angle information according to the change information of the compound pendulum angle;
and determining the complex pendulum period in the current state according to the angle information and the time information.
8. A gravitational acceleration measurement device, characterized in that it comprises: memory, a processor and a gravitational acceleration measurement program stored on the memory and executable on the processor, the gravitational acceleration measurement program when executed by the processor implementing the steps of the gravitational acceleration measurement method according to any one of claims 1 to 7.
9. A storage medium, characterized in that the storage medium has stored thereon a gravitational acceleration measurement program which, when executed by a processor, implements the steps of the gravitational acceleration measurement method according to any one of claims 1 to 7.
10. A gravitational acceleration measurement device, characterized in that it comprises: the system comprises an information acquisition module, a state determination module, a period determination module and a gravity acceleration determination module;
the information acquisition module is used for acquiring the state information of the compound pendulum;
the state determining module is used for determining the current swing state of the compound pendulum according to the compound pendulum state information;
the information acquisition module is further used for acquiring the angle change information of the compound pendulum in the current swing state;
the period determining module is used for determining the complex pendulum period in the current pendulum state according to the angle change information;
and the gravity acceleration determining module is used for determining the gravity acceleration of the current position according to the complex pendulum period.
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Application publication date: 20211008 |