Background
Bolts are indispensable fasteners in the manufacturing field and the defense industry, have the advantages of convenient assembly and disassembly, easy maintenance, removability for preventing loosening and avoidance of phase change of connecting material components, and are used as important components of important infrastructure equipment such as aerospace, vehicles, energy sources, bridges, railways and various building facilities. As an important fastener in the assembly and operation of facilities or equipment, the stress state of a bolt is a core parameter that affects its service performance. The axial stress and the shear stress of the bolt have great influence on the service state, the performance and the service life of the engineering structure. The bolt can lead to the structure of connecting to become flexible because of the stress problem, probably leads to structural stability to be maladjusted, causes serious incident. In order to ensure the reliability and safety of the whole equipment, the method has important significance for accurately and conveniently detecting the axial stress and the shear stress of the bolt in real time.
In recent years, an ultrasonic measurement method is widely applied to stress measurement of bolts as an important invention in a nondestructive testing technology, and the measurement of internal stress of bolts based on the acoustic elastic effect of ultrasonic bulk waves has been developed and applied through years of research. However, most of the research is focused on measuring the axial stress of the bolt and neglecting the shear stress applied to the bolt, and the existing equipment does not have equipment for measuring the shear stress of the bolt.
For the use of the bolt, the shear stress is the stress in the radial direction of the bolt on a plane perpendicular to the axial direction of the bolt, and the shear stress is caused by the transverse stress of the bolt and the torsional force applied in the bolt pre-tightening process. The bolt can be deformed due to overlarge shearing stress, so that the connected structure is dislocated, the stability of the whole equipment is broken, and the reliability and the use safety of the equipment are influenced. In severe cases, the bolts are even in danger of breaking, and serious safety accidents are caused.
In 2020, Liuhai waves and the like are invented in patent CN109946379B, an electrical measurement ultrasonic detection method of unidirectional stress is invented, and transverse and longitudinal waves are jointly measured for axial stress of a bolt by using an electrical measurement ultrasonic transverse and longitudinal wave probe. In 2020, Pan-orderly and the like in patent CN111442869A, a nonlinear ultrasonic detection method for bolt axial stress is invented, a relation model between second harmonic amplitude and fundamental amplitude is established based on the propagation theory of ultrasonic waves in isotropic media, and the nonlinear ultrasonic detection method for bolt axial stress is obtained. In 2020, shui pei et al in utility model patent CN212645940U, an ultrasonic bolt stress measuring device including a temperature compensation device was invented, which is based on ultrasonic and temperature compensation units, and realizes the measurement of bolt axial stress at any temperature according to bolt temperature and acoustic time difference. However, none of the above disclosures measures the bolt shear stress.
Disclosure of Invention
The invention provides a high-strength bolt shear stress detection method based on ultrasonic transverse waves, aiming at solving the technical problems in the prior art.
The purpose of the invention is realized by the following technical scheme: a high-strength bolt shear stress detection method based on ultrasonic transverse waves comprises the following steps:
step 1, obtaining a duplicate test piece of an in-service bolt to be detected, wherein the size, shape, material and strength of the duplicate test piece are the same as those of the bolt to be detected;
step 2, performing a calibration experiment on the bolt to be tested to obtain the relation between the ultrasonic transverse wave velocity in the bolt to be tested and the shear stress applied to the bolt to be tested; according to the acoustic elasticity theory, the relationship between the ultrasonic transverse wave velocity axially propagating along the bolt and the stress borne by the bolt is linear, and the relationship is simplified as follows:
wherein, VσThe wave velocity of ultrasonic transverse waves when the stress is sigma, and A and k are constants;
and 3, when the length of the bolt is known, according to the relation in the step 2, measuring the ultrasonic transit time in the stress-free state and the ultrasonic transit time in the stress state to obtain the wave velocity when the bolt is subjected to the shear stress, and further obtaining the size of the shear stress applied to the bolt.
Further, the step 2 specifically includes:
building a bolt stress ultrasonic experiment system, fixing a bolt in a shear force stretching device, installing an ultrasonic transverse wave transducer on the end face of a copied test piece, and sequentially connecting the ultrasonic transverse wave transducer, an ultrasonic driver, a digital oscilloscope and an upper computer; carrying out a stress loading experiment and an ultrasonic transit time measurement experiment on the replica test piece, and calibrating the ultrasonic transverse wave transit time and the magnitude of the shear stress when the replica test piece is unstressed and stressed;
firstly, selecting a calibration point, and measuring the transition time t in the absence of stress0It has the following formula:
wherein L is0Is the total length of the bolt, V0Is the ultrasonic transverse wave velocity L in the absence of stress1Is the effective stress interval length of the bolt, L2The length of the stress-free section of the bolt is equal to the length of the stress-free section of the bolt;
then, carrying out a stress loading experiment, and increasing the shearing stress of the bolt step by step on the copy test piece by taking 1MPa as a unit, wherein the added stress does not exceed the yield stress of the material of the test piece, and all the large and small stresses are kept for a period of time for carrying out an ultrasonic transit time measurement experiment; selecting an ultrasonic transverse wave probe with the center frequency of 0-10 MHz in each stress holding time, mounting the ultrasonic transverse wave probe at a selected calibration point to enable the polarization direction of the ultrasonic transverse wave to be parallel to the direction of the shear stress, sequentially carrying out an ultrasonic transit time measurement experiment on each stress magnitude, and measuring the transit time t when each stress is sigmaσIt has the following formula:
the two are subtracted to obtain:
wherein VσV is obtained from the formula (2) as the ultrasonic transverse wave velocity when the stress is sigmaσA value of (d);
after multiple experiments, all the stresses and the corresponding wave velocities are measured, linear fitting is carried out, and the constants A and k in the formula (1) are obtained by calibration according to the formula (1), namely the linear relation between the stress of the bolt to be measured and the wave velocity square is measured.
Further, the step 3 specifically includes:
determining a detection point according to the calibration point, firstly using an installed ultrasonic transverse wave probe to perform an ultrasonic transit time measurement experiment on the bolt to be detected, acquiring transverse wave transit time when stress sigma exists at the detection point, and converting time t when the stress is sigmaσThe wave velocity of the ultrasonic transverse wave at the moment is obtained by being substituted into the formula (2), and then the wave velocity of the ultrasonic transverse wave is substituted into the formula (1), so that the shearing stress of the bolt in the polarization direction of the ultrasonic transverse wave at the moment can be obtained;
rotating the probe by 15 degrees around the axis of the bolt, and repeating the steps 1 to 3 to obtain the shear stress of the bolt in the polarization direction of the ultrasonic transverse wave at the moment; the bolt was again rotated and the experiment repeated until shear stress was obtained in all directions perpendicular to the plane of the bolt axis.
The invention has the beneficial effects that: the invention obtains that the sensitivity of ultrasonic transverse waves propagating along the axial direction and the shearing stress borne by the bolt is higher than that of other ultrasonic waves and the shearing stress borne by the bolt, and provides the high-strength bolt shearing stress detection method based on the ultrasonic transverse waves. The method can realize the accurate measurement of the shearing stress borne by the bolt in service, and solves the existing requirement on the accurate measurement of the shearing force borne by the bolt; the invention proves the advantage of using ultrasonic transverse waves to measure the shear stress borne by the bolt and provides an idea for measuring the shear stress borne by the bolt in service later; the method can obtain all the stresses in all directions of the in-service bolt perpendicular to the axial plane of the bolt, and is favorable for quickly and accurately eliminating the shear stress in all directions borne by the bolt; according to the principle of the acoustoelastic theory, the method of the invention uses the linear relation between the square of the ultrasonic wave speed and the shearing stress, and has better measurement precision compared with the prior two-stage approximation of the acoustoelastic theory.
Detailed Description
The technical solutions in the embodiments of the present invention will be described clearly and completely with reference to the accompanying drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
FIG. 1 is a schematic diagram of bolt size convention and installation of a transverse wave transducer in the present invention, which specifies bolt size and installation manner of an ultrasonic wave transducer. Fig. 2 is a schematic diagram of the shear stress loading of a bolt, wherein the bolt is fixed on a shear stress fixture, the fixture is clamped by a tensile tester and applies force, and the tensile tester applies force, namely the shear stress applied to the bolt. FIG. 3 is a schematic diagram of an ultrasonic testing system for a bolt, wherein an ultrasonic transverse wave transducer is arranged on the top of the bolt after the bolt is subjected to shear stress by a tensile tester, and the transducer is connected with an ultrasonic driver for exciting the transducer and receiving echo signals. The ultrasonic driver sends the emission waveform and the echo signal to the digital oscilloscope, and the digital oscilloscope sends the waveform data to the upper computer for storage and processing.
With reference to fig. 1 to 3, the invention provides a method for detecting shear stress of a high-strength bolt based on ultrasonic transverse waves, which comprises the following steps:
step 1, obtaining a duplicate test piece of an in-service bolt to be detected, wherein the size, shape, material and strength of the duplicate test piece are the same as those of the bolt to be detected; duplicating the in-service metal bolt: the in-service bolt is generally not detachable, and a stress acoustoelastic relation under the central frequency of the probe needs to be obtained in the implementation process of the invention. Therefore, a duplicate test piece with the same size, shape, material and strength as the bolt in service is selected.
Step 2, performing a calibration experiment on the bolt to be tested to obtain the relation between the ultrasonic transverse wave velocity in the bolt to be tested and the shear stress applied to the bolt to be tested; according to the theory of acoustic elasticity, the ultrasonic transverse wave velocity propagating along the axial direction of the bolt and the stress borne by the bolt are in the following relationship:
in the above formula, the wave velocity VabcIn the subscript, a is the ultrasonic propagation direction, b is the ultrasonic polarization direction, and c is the stress direction. V131、V132、V133The propagation direction is along the axial direction, the ultrasonic polarization direction is perpendicular to the axial direction, and the stress direction is along the axial direction, perpendicular to the ultrasonic polarization direction and the wave speed parallel to the polarization direction respectively. Rho0The density of the material is shown as lambda and mu, the second-order elastic constant of the material is shown as m and n, and the third-order elastic constant of the material is shown as m and n.
It can be seen that the shear wave velocity is linear with the shear stress experienced by the bolt. For general boltThe metal material used, lambda, mu is greater than zero, l, m, n is less than zero, taking low carbon steel (0.12% C) as an example, the lambda, mu, l, m, n are respectively 115, 82, -301, -666 and-716, the wave speed in the three formulas is derived from stress, the change of the stress to the sound speed is small, and V under the zero stress state is taken for simplifying the calculation131=V132=V1333.20km/s, available:
dV131≈-0.00505dσ
dV132≈-0.00505dσdV133≈-0.02495dσ
from above, V133I.e. shear waves with propagation direction perpendicular to the stress direction and polarization direction parallel to the stress direction are most sensitive to shear stress, and V131、V132Is about 0.2 times its sensitivity. Therefore, a higher accuracy can be obtained using this wave.
Therefore, the relation between the ultrasonic transverse wave velocity axially propagated along the bolt and the stress borne by the bolt is in a linear relation, and the relation is simplified as follows:
wherein, VσThe wave velocity of ultrasonic transverse waves when the stress is sigma, and A and k are constants;
the step 2 specifically comprises the following steps:
building a bolt stress ultrasonic experiment system, fixing a bolt in a shear force stretching device, installing an ultrasonic transverse wave transducer on the end face of a copied test piece, and sequentially connecting the ultrasonic transverse wave transducer, an ultrasonic driver, a digital oscilloscope and an upper computer; carrying out a stress loading experiment and an ultrasonic transit time measurement experiment on the replica test piece, and calibrating the ultrasonic transverse wave transit time and the magnitude of the shear stress when the replica test piece is unstressed and stressed;
firstly, selecting a calibration point, and measuring the transition time t in the absence of stress0It has the following formula:
wherein L is0Is the total length of the bolt, V0Is the ultrasonic transverse wave velocity L in the absence of stress1Is the effective stress interval length of the bolt, L2The length of the stress-free section of the bolt is equal to the length of the stress-free section of the bolt;
then, carrying out a stress loading experiment, and increasing the shearing stress of the bolt step by step on the copy test piece by taking 1MPa as a unit, wherein the added stress does not exceed the yield stress of the material of the test piece, and all the large and small stresses are kept for a period of time for carrying out an ultrasonic transit time measurement experiment; selecting an ultrasonic transverse wave probe with the center frequency of 0-10 MHz in each stress holding time, mounting the ultrasonic transverse wave probe at a selected calibration point to enable the polarization direction of the ultrasonic transverse wave to be parallel to the direction of the shear stress, sequentially carrying out an ultrasonic transit time measurement experiment on each stress magnitude, and measuring the transit time t when each stress is sigmaσIt has the following formula:
the two are subtracted to obtain:
wherein VσV is obtained from the formula (2) as the ultrasonic transverse wave velocity when the stress is sigmaσA value of (d);
after multiple experiments, all the stresses and the corresponding wave velocities are measured, linear fitting is carried out, and the constants A and k in the formula (1) are obtained by calibration according to the formula (1), namely the linear relation between the stress of the bolt to be measured and the wave velocity square is measured.
And 3, when the length of the bolt is known, according to the relation in the step 2, measuring the ultrasonic transit time in the stress-free state and the ultrasonic transit time in the stress state to obtain the wave velocity when the bolt is subjected to the shear stress, and further obtaining the size of the shear stress applied to the bolt.
The step 3 specifically comprises the following steps:
determining a detection point according to the calibration point, firstly using an installed ultrasonic transverse wave probe to perform an ultrasonic transit time measurement experiment on the bolt to be detected, acquiring transverse wave transit time when stress sigma exists at the detection point, and converting time t when the stress is sigmaσThe wave velocity of the ultrasonic transverse wave at the moment is obtained by being substituted into the formula (2), and then the wave velocity of the ultrasonic transverse wave is substituted into the formula (1), so that the shearing stress of the bolt in the polarization direction of the ultrasonic transverse wave at the moment can be obtained;
rotating the probe by 15 degrees around the axis of the bolt, and repeating the steps 1 to 3 to obtain the shear stress of the bolt in the polarization direction of the ultrasonic transverse wave at the moment; the bolt was again rotated and the experiment repeated until shear stress was obtained in all directions perpendicular to the plane of the bolt axis.
The invention discloses a piezoelectric ultrasonic detection method for bolt shear stress aiming at the requirement of bolt shear stress measurement in practical use, and realizes nondestructive detection of the shear stress borne by a bolt on-service metal material. The method uses a piezoelectric transducer to excite ultrasonic transverse waves, deduces that the sensitivity of shear stress and transverse wave velocity of the bolt is the highest based on an acoustic elastic effect, and innovatively provides that the shear stress borne by the bolt is measured by measuring the transit time of the shear stress borne by the bolt by using the transverse waves.
The method for detecting shear stress of a high-strength bolt based on ultrasonic transverse waves provided by the invention is described in detail, a specific example is applied in the method for explaining the principle and the implementation mode of the invention, and the description of the embodiment is only used for helping to understand the method and the core idea of the invention; meanwhile, for a person skilled in the art, according to the idea of the present invention, there may be variations in the specific embodiments and the application scope, and in summary, the content of the present specification should not be construed as a limitation to the present invention.