CN106787935A - A kind of inertia non-resonant biped piezoelectric straight line actuator and method of work - Google Patents
A kind of inertia non-resonant biped piezoelectric straight line actuator and method of work Download PDFInfo
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Abstract
本发明公开了一种惯性非共振式双足压电直线作动器,包括底座,底座上方设置有导轨,所述的底座的上方还设置有定子组件;定子组件为轴对称分布的定子组件左驱动足以及定子组件右驱动足;所述的定子组件左驱动足以及定子组件右驱动足内部分别安装有左叠层压电陶瓷以及右叠层压电陶瓷;所述的定子组件的驱动足的凸出部位与导轨一侧相接触;本发明还提供了一种惯性非共振式双足压电直线作动器的工作方法,通过对对称布置的两个驱动足机构中的左、右叠层压电陶瓷上分别施加电压慢升快降和快升慢降的同频锯齿波电压信号,以达到可以稳定的做连续直线运动,并且其具有结构简单、运行稳定、定位精确、运动分辨率高、成本较低的优点。
The invention discloses an inertial non-resonant bipedal piezoelectric linear actuator, which comprises a base, a guide rail is arranged above the base, and a stator assembly is arranged above the base; the stator assembly is an axisymmetrically distributed stator assembly. The drive foot and the right drive foot of the stator assembly; the inside of the left drive foot of the stator assembly and the right drive foot of the stator assembly are respectively equipped with a left laminated piezoelectric ceramic and a right laminated piezoelectric ceramic; the drive foot of the stator assembly The protruding part is in contact with one side of the guide rail; the present invention also provides a working method of an inertial non-resonant bipedal piezoelectric linear actuator, by laminating the left and right sides of the two symmetrically arranged drive foot mechanisms The same-frequency sawtooth wave voltage signals with slow rise and fast fall and fast rise and slow fall are respectively applied to the piezoelectric ceramics to achieve stable and continuous linear motion, and it has the advantages of simple structure, stable operation, accurate positioning, and high motion resolution. , The advantage of lower cost.
Description
技术领域technical field
本发明属于压电精密致动技术领域,具体是指一种惯性非共振式双足压电直线作动器及工作方法。The invention belongs to the technical field of piezoelectric precision actuation, and specifically refers to an inertial non-resonant biped piezoelectric linear actuator and a working method.
背景技术Background technique
压电直线电机因其结构简单、定位精确、易于集成等优势受到国内乃至全世界的广泛关注,并被应用于多个技术领域。基于叠层压电陶瓷的非共振式压电直线电机不仅拥有传统电机的优点,并且克服了传统超声电机易受环境因素影响的不足,具有较好的应用前景。Because of its simple structure, precise positioning, and easy integration, piezoelectric linear motors have attracted widespread attention from home and abroad, and have been used in many technical fields. The non-resonant piezoelectric linear motor based on laminated piezoelectric ceramics not only has the advantages of traditional motors, but also overcomes the shortcomings of traditional ultrasonic motors that are susceptible to environmental factors, and has a good application prospect.
惯性式电机是一种利用压电陶瓷的快速变形产生的惯性冲击来实现微位移的微型驱动机构,它具有很多优势如:运动范围大、分辨率能达到纳米级、结构简单、部件可被微小化、并能在步进运动的同时实现精确定位等。The inertial motor is a micro-drive mechanism that uses the inertial impact generated by the rapid deformation of piezoelectric ceramics to achieve micro-displacement. It has many advantages such as: large range of motion, resolution can reach nanometer level, simple structure, and parts can be tiny , and can achieve precise positioning while stepping.
利用压电元件动态特性的惯性冲击式驱动器在精密驱动领域已经发展为一项独特的驱动型式,得到了广泛的研究与应用。然而就目前的对惯性式压电直线电机研究技术还有一些不足,如:电机部件的微小化并未完全得到实现,定位精确的电机结构较为复杂,运动的分辨率不高,运动不具有连续性使得推力受到了限制,制造成本较高。因此设计一种能够解决这些限制的压电直线电机一直是本领域技术人员待解决的技术难题。The inertial impact driver using the dynamic characteristics of piezoelectric elements has developed into a unique driving type in the field of precision driving, and has been widely researched and applied. However, there are still some deficiencies in the current research technology of inertial piezoelectric linear motors, such as: the miniaturization of motor components has not been fully realized, the motor structure with precise positioning is relatively complex, the resolution of motion is not high, and the motion is not continuous. The resistance makes the thrust limited, and the manufacturing cost is higher. Therefore, designing a piezoelectric linear motor capable of solving these limitations has always been a technical problem to be solved by those skilled in the art.
发明内容Contents of the invention
本发明针对现有技术中存在的问题,提出了一种惯性非共振式双足压电直线作动器,通过对对称布置的两个驱动足机构中的叠层压电陶瓷上分别施加电压慢升快降和快升慢降的同频锯齿波电压信号,以达到可以稳定的做连续直线运动,并且其具有结构简单、运行稳定、定位精确、运动分辨率高、成本较低等优点。Aiming at the problems existing in the prior art, the present invention proposes an inertial non-resonant bipedal piezoelectric linear actuator, by applying voltages to the laminated piezoelectric ceramics in the two symmetrically arranged driving foot mechanisms respectively The same-frequency sawtooth wave voltage signal of rising fast falling and fast rising slow falling can achieve stable continuous linear motion, and it has the advantages of simple structure, stable operation, accurate positioning, high motion resolution, and low cost.
本发明是通过如下方法实现的:一种惯性非共振式双足压电直线作动器,包括底座,底座上方设置有导轨,其特在在于,所述的底座的上方还设置有定子组件;The present invention is realized by the following method: an inertial non-resonant bipedal piezoelectric linear actuator, comprising a base, a guide rail is arranged above the base, and the feature is that a stator assembly is also arranged above the base;
所述的定子组件为轴对称分布的驱动足,分别为定子组件左驱动足以及定子组件右驱动足;左右驱动足(左右定子组件左驱动足)包含作左、右驱动足机构,左、右叠层压电陶瓷,左、右防剪切垫片,左、右预紧弹簧,左、右预紧螺钉,左、右预紧垫片;双驱动足的存在,使得电机可以稳定的做连续直线运动,垫片避免了驱动足运动部分与底座的直接接触;通过双驱动足的时序控制和共同作用,电机导轨的速度、推力及精度得到了较大的提升,实现了大行程、高精度的统一。The stator assembly is an axisymmetrically distributed driving foot, which is respectively the left driving foot of the stator assembly and the right driving foot of the stator assembly; Laminated piezoelectric ceramics, left and right anti-shear washers, left and right pre-tightening springs, left and right pre-tightening screws, left and right pre-tightening washers; the existence of double driving feet enables the motor to operate stably and continuously Linear motion, the gasket avoids the direct contact between the moving part of the driving foot and the base; through the timing control and joint action of the double driving feet, the speed, thrust and accuracy of the motor guide rail have been greatly improved, realizing large stroke and high precision unity.
所述的定子组件左驱动足以及定子组件右驱动足内部分别安装有左叠层压电陶瓷以及右叠层压电陶瓷;左、右叠层压电陶瓷作为电机的驱动元件在施加电压后沿平行导轨运动方向产生位移。The inside of the left drive foot of the stator assembly and the right drive foot of the stator assembly are respectively equipped with left laminated piezoelectric ceramics and right laminated piezoelectric ceramics; the left and right laminated piezoelectric ceramics are used as the drive elements of the motor and are Parallel to the direction of motion of the guide rail to generate displacement.
所述的定子组件的驱动足的凸出部位与导轨一侧相接触,通过定子组件的驱动足的凸出部位与导轨通过摩擦接触,通过摩擦力作用驱动导轨作直线运动。The protruding part of the driving foot of the stator assembly is in contact with one side of the guide rail, and the protruding part of the driving foot of the stator assembly is in frictional contact with the guide rail, and the guide rail is driven to move linearly by friction.
进一步,所述的定子组件左驱动足以及定子组件右驱动足分别通过左安装螺钉、右安装螺钉以及垫片固定在底座上。Further, the left driving foot of the stator assembly and the right driving foot of the stator assembly are respectively fixed on the base through left mounting screws, right mounting screws and gaskets.
进一步,所述的定子组件左驱动足还包括左驱动足机构,与左叠层压电陶瓷平行安装于左驱动足机构内部的左预紧弹簧;所述的左叠层压电陶瓷左右两侧设置有左防剪切垫片;所述的安装在左叠层压电陶瓷左侧左防剪切垫片与左预紧垫片接触,安装在左叠层压电陶瓷右侧左防剪切垫片与左驱动足右端梁接触。Further, the left driving foot of the stator assembly also includes a left driving foot mechanism, and a left pre-tension spring installed inside the left driving foot mechanism in parallel with the left laminated piezoelectric ceramic; the left and right sides of the left laminated piezoelectric ceramic A left anti-shear gasket is provided; the left anti-shear gasket installed on the left side of the left laminated piezoelectric ceramic is in contact with the left pre-tightening gasket, and is installed on the right side of the left laminated piezoelectric ceramic. The spacer is in contact with the left drive foot right end beam.
预紧弹簧的存在弥补了机构回复力不足导致机构在回复阶段不能及时回到初始阶段,保证了作动原理的时序正确性,对电机性能的提升具有很大的作用。The existence of the pre-tightening spring makes up for the lack of recovery force of the mechanism, which leads to the failure of the mechanism to return to the initial stage in time during the recovery stage, ensures the timing correctness of the actuation principle, and has a great effect on improving the performance of the motor.
进一步,所述的定子组件左驱动足还包括左预紧垫片、左预紧螺钉;左叠层压电陶瓷通过左预紧螺钉、左预紧垫片压紧于左驱动足“口”字型机构内部,所述左预紧弹簧固定于口字型机构内部与左叠层压电陶瓷并列安装。Further, the left drive foot of the stator assembly also includes a left pre-tightening gasket and a left pre-tightening screw; Inside the type mechanism, the left pre-tension spring is fixed inside the square type mechanism and installed side by side with the left laminated piezoelectric ceramics.
进一步,所述的定子组件右驱动足包括右驱动足机构,与右叠层压电陶瓷平行安装于右驱动足机构内部的右预紧弹簧;所述的右叠层压电陶瓷左右两侧设置有右防剪切垫片;所述的右叠层压电陶瓷右侧安装的右防剪切垫片与左预紧垫片接触,安装在右叠层压电陶瓷左侧的右防剪切垫片与左驱动足左端梁接触。Further, the right driving foot of the stator assembly includes a right driving foot mechanism, and a right pretension spring installed inside the right driving foot mechanism in parallel with the right laminated piezoelectric ceramic; the left and right sides of the right laminated piezoelectric ceramic are arranged There is a right anti-shear gasket; the right anti-shear gasket installed on the right side of the right laminated piezoelectric ceramic is in contact with the left preload gasket, and the right anti-shear gasket installed on the left side of the right laminated piezoelectric ceramic The spacer is in contact with the left end beam of the left drive foot.
进一步,所述的定子组件右驱动足还包括右预紧垫片、右预紧螺钉;右叠层压电陶瓷通过右预紧螺钉、右预紧垫片压紧于右驱动足“口”字型机构内部,所述右预紧弹簧固定于口字型机构内部与右叠层压电陶瓷并列安装。Further, the right driving foot of the stator assembly also includes a right preloading washer and a right preloading screw; the right laminated piezoelectric ceramic is pressed on the right driving foot by the right preloading screw and the right preloading washer Inside the type mechanism, the right pre-tightening spring is fixed inside the square type mechanism and installed side by side with the right laminated piezoelectric ceramics.
进一步,所述的定子组件左驱动足以及定子组件右驱动足的一端对称设置有割缝,以形成柔性铰链;两片对称布置的驱动足机构为“口”字型结构,其割缝以形成柔性铰链;即柔性铰链为位于定子组件驱动足左下方的割缝位于驱动足下方梁而形成的。Further, one end of the left driving foot of the stator assembly and the right driving foot of the stator assembly are symmetrically provided with slots to form a flexible hinge; the two symmetrically arranged driving foot mechanisms are "mouth" shaped structures, and the slots are formed to form Flexible hinge; that is, the flexible hinge is formed by the slit located at the lower left side of the drive foot of the stator assembly, which is located under the beam under the drive foot.
进一步,所述的导轨通过螺钉固定连接与底座上;导轨作为电机动子固定于底座上,输出直线运动。Further, the guide rail is fixedly connected to the base by screws; the guide rail is fixed on the base as a motor mover and outputs linear motion.
本发明还公开了一种惯性非共振式双足压电直线作动器的工作方法,所述的方法为给左驱动足中的左叠层压电陶瓷、右驱动足中的右叠层压电陶瓷分别施加电压慢升快降和快升慢降的同频锯齿波电压信号。The invention also discloses a working method of an inertial non-resonant bipedal piezoelectric linear actuator. The electroceramic applies the same-frequency sawtooth wave voltage signal with slow voltage rise and fast fall and fast rise and slow fall respectively.
本发明相对于现有技术的有益效果在于:The beneficial effect of the present invention with respect to prior art is:
(1)采用叠层压电陶瓷作为核心驱动元件,电机工作状态为非共振模式,克服了传统超声电机易受环境因素影响的不足,运行稳定,精度较高;(1) Using laminated piezoelectric ceramics as the core drive element, the working state of the motor is in a non-resonant mode, which overcomes the shortcomings of traditional ultrasonic motors that are easily affected by environmental factors, with stable operation and high precision;
(2)采用双足驱动方式,改善了利用叠层压电陶瓷作为驱动元件抗拉力弱只能伸不能缩的状况,实现了双向大行程、高精度作动;(2) The bipedal driving method is adopted, which improves the situation that the use of laminated piezoelectric ceramics as the driving element has weak tensile force and can only be stretched but not retracted, and realizes two-way large-stroke and high-precision actuation;
(3)本发明的压电直线电机机构较为简单、加工方便,可实现批量化生产,且其运行稳定、定位精确、运动分辨率高、成本较低等优点;(3) The piezoelectric linear motor mechanism of the present invention is relatively simple, easy to process, and can realize mass production, and has the advantages of stable operation, precise positioning, high motion resolution, and low cost;
(4)本发明在叠层压电陶瓷上施加了电压慢升快降和快升慢降的锯齿波电压信号,驱动方式较为简单,避免了复杂的驱动形式。(4) The present invention applies sawtooth wave voltage signals with slow voltage rise and fast fall and fast rise and slow fall voltage signals on the laminated piezoelectric ceramics, the driving method is relatively simple, and complicated driving forms are avoided.
附图说明Description of drawings
图1是本发明惯性非共振式压电直线电机的整体结构示意图;1 is a schematic diagram of the overall structure of the inertial non-resonant piezoelectric linear motor of the present invention;
图2是本发明惯性非共振式压电直线电机的定子组件分解示意图;Fig. 2 is an exploded schematic view of the stator assembly of the inertial non-resonant piezoelectric linear motor of the present invention;
图3是本发明施加在两个叠层压电陶瓷上的锯齿波信号示意图;Fig. 3 is a schematic diagram of a sawtooth wave signal applied to two laminated piezoelectric ceramics in the present invention;
图4是本发明惯性非共振式压电直线电机运动原理示意图;Fig. 4 is a schematic diagram of the motion principle of the inertial non-resonant piezoelectric linear motor of the present invention;
其中,1-导轨,2-底座,3-定子组件左驱动足,3.1-左驱动足机构,3.2-左预紧弹簧,3.3-左叠层压电陶瓷,3.4-左防剪切垫片,3.5-左预紧垫片,3.6-左预紧螺钉,4-定子组件右驱动足,4.1-右驱动足机构,4.2-右预紧弹簧, 4.3-右叠层压电陶瓷, 4.4-右防剪切垫片, 4.5-右预紧垫片,4.6-右预紧螺钉,5-垫片,6-左安装螺钉,7-右安装螺钉,8-运动方向。Among them, 1-rail, 2-base, 3-left driving foot of stator assembly, 3.1-left driving foot mechanism, 3.2-left preload spring, 3.3-left laminated piezoelectric ceramics, 3.4-left anti-shear gasket, 3.5-left pre-tightening gasket, 3.6-left pre-tightening screw, 4-right driving foot of stator assembly, 4.1-right driving foot mechanism, 4.2-right pre-tightening spring, 4.3-right laminated piezoelectric ceramics, 4.4-right anti Shear washer, 4.5-right preload washer, 4.6-right preload screw, 5-washer, 6-left mounting screw, 7-right mounting screw, 8-movement direction.
具体实施方式detailed description
本发明提供一种惯性非共振式双足压电直线作动器及工作方法,为使本发明的目的,技术方案及效果更加清楚,明确,以及参照附图并举实例对本发明进一步详细说明。应当理解,此处所描述的具体实施仅用以解释本发明,并不用于限定本发明。The present invention provides an inertial non-resonant bipedal piezoelectric linear actuator and working method. In order to make the object, technical solution and effect of the present invention clearer and clearer, the present invention is further described in detail with reference to the accompanying drawings and examples. It should be understood that the specific implementations described here are only used to explain the present invention, not to limit the present invention.
如图1~2所示,本发明公开的一种惯性非共振式双足压电直线作动器,包括底座2,底座2上方设置有导轨1,所述的导轨1通过螺钉固定连接与底座上,所述的底座2的上方还设置有定子组件;所述的定子组件为轴对称分布的左、右驱动足,分别为定子组件左驱动足3以及定子组件右驱动足4;所述的定子组件的驱动足的凸出部位与导轨1一侧相接触;As shown in Figures 1 to 2, an inertial non-resonant biped piezoelectric linear actuator disclosed by the present invention includes a base 2, a guide rail 1 is arranged above the base 2, and the guide rail 1 is fixedly connected to the base by screws. On the top of the base 2, there is also a stator assembly; the stator assembly is a left and right driving foot with axisymmetric distribution, which are respectively the left driving foot 3 of the stator assembly and the right driving foot 4 of the stator assembly; the The protruding part of the driving foot of the stator assembly is in contact with one side of the guide rail 1;
所述的定子组件左驱动足3以及定子组件右驱动足4分别通过左安装螺钉6、右安装螺钉7以及垫片5固定在底座2上。The left driving foot 3 of the stator assembly and the right driving foot 4 of the stator assembly are respectively fixed on the base 2 by the left mounting screw 6 , the right mounting screw 7 and the washer 5 .
所述的定子组件左驱动足3包括左驱动足机构3.1,平行安装于左驱动足机构3.1内部的左预紧弹簧3.2以及左叠层压电陶瓷3.3;所述的左叠层压电陶瓷3.3左右两侧设置有左防剪切垫片3.4,左防剪切垫片3.4在左叠层压电陶瓷3.3左端与左预紧垫片3.5接触,在左叠层压电陶瓷3.3的右端与左驱动足3.1右端梁接触。左叠层压电陶瓷3.3通过左预紧垫片3.5、左预紧螺钉3.6压紧于左驱动足机构3.1内部,所述左预紧弹簧3.2固定于口字型左驱动足机构3.1内部与左叠层压电陶瓷3.3并列安装。The left driving foot 3 of the stator assembly includes a left driving foot mechanism 3.1, a left preload spring 3.2 and a left laminated piezoelectric ceramic 3.3 installed in parallel inside the left driving foot mechanism 3.1; the left laminated piezoelectric ceramic 3.3 The left anti-shear gasket 3.4 is arranged on the left and right sides, the left anti-shear gasket 3.4 is in contact with the left pre-tightening gasket 3.5 at the left end of the left laminated piezoelectric ceramic 3.3, and the left anti-shear gasket 3.4 is in contact with the left end of the left laminated piezoelectric ceramic 3.3. The drive foot 3.1 is in contact with the right end beam. The left laminated piezoelectric ceramic 3.3 is pressed on the inside of the left drive foot mechanism 3.1 through the left preload gasket 3.5 and the left preload screw 3.6, and the left preload spring 3.2 is fixed on the inside of the left drive foot mechanism 3.1 and the left The laminated piezoelectric ceramics 3.3 are mounted side by side.
所述的定子组件右驱动足4包括右驱动足机构4.1,平行安装于右驱动足机构4.1内部的右预紧弹簧4.2与右叠层压电陶瓷4.3;所述的右叠层压电陶瓷4.3左右两侧设置有右防剪切垫片4.4;右防剪切垫片4.4在右叠层压电陶瓷4.3的左端与左预紧垫片4.5接触,在右叠层压电陶瓷4.3的右端与左驱动足4.1左端梁接触。右叠层压电陶瓷4.3通过右预紧垫片4.5、右预紧螺钉4.6压紧于右驱动足机构4.1内部,所述右预紧弹簧4.2固定于口字型右驱动足机构4.1内部与右叠层压电陶瓷4.3并列安装。The right drive foot 4 of the stator assembly includes a right drive foot mechanism 4.1, a right preload spring 4.2 and a right laminated piezoelectric ceramic 4.3 installed in parallel inside the right drive foot mechanism 4.1; the right laminated piezoelectric ceramic 4.3 The right anti-shear gasket 4.4 is arranged on the left and right sides; the right anti-shear gasket 4.4 is in contact with the left pre-tightening gasket 4.5 at the left end of the right laminated piezoelectric ceramic 4.3, and is in contact with the right end of the right laminated piezoelectric ceramic 4.3. The left drive foot 4.1 is in contact with the left end beam. The right laminated piezoelectric ceramic 4.3 is pressed on the inside of the right drive foot mechanism 4.1 through the right preload gasket 4.5 and the right preload screw 4.6, and the right preload spring 4.2 is fixed on the inside of the mouth-shaped right drive foot mechanism 4.1 and the right The laminated piezoelectric ceramics 4.3 are installed side by side.
如图3~4所示,图3为本发明压电直线电机常用的驱动电信号,图4所示为定子组件与导轨运动原理示意图。图3所示的施加于所述压电直线电机的驱动信号为同频慢升快降和快升慢降的锯齿波电压信号。给左驱动足中的左叠层压电陶瓷3.3、右驱动足中的右叠层压电陶瓷4.3分别施加电压慢升快降和快升慢降的同频锯齿波电压信号。当处于上半周期中,左驱动足中的左叠层压电陶瓷3.3在缓慢上升的电压信号作用下伸长,带动左驱动足机构3.1在平行于导轨1运动方向8产生一定的位移,通过摩擦力作用驱动导轨1作直线运动,而右驱动足中的右叠层压电陶瓷4.3在陡升的电压信号作用下快速伸长至一定长度,带动右驱动足机构4.1伸长,由于伸长速度较快,对导轨影响较小;而当处于下半周期时,左驱动足中的左叠层压电陶瓷3.3在陡落的电压信号作用下迅速回复至原长,左驱动足机构3.1在左预紧弹簧3.2及机构回复力作用下迅速回复至初始状态,由于回复状态较快,对导轨影响较小,而右驱动足的右叠层压电陶瓷4.3在缓慢下降的电压信号作用下从一定长度回复到原长,同时驱动足机构在在右预紧弹簧4.2及机构回复力作用下缓慢回复至初始状态,同时通过摩擦力驱动导轨1沿与上半周期运动方向8继续运动。如此周而复始,产生大行程的直线运动。As shown in Figures 3 to 4, Figure 3 is a commonly used driving electrical signal of the piezoelectric linear motor of the present invention, and Figure 4 is a schematic diagram of the movement principle of the stator assembly and the guide rail. The driving signal applied to the piezoelectric linear motor as shown in FIG. 3 is a sawtooth wave voltage signal with the same frequency of slow rise and fast fall and fast rise and slow fall. To the left laminated piezoelectric ceramic 3.3 in the left driving leg and the right laminated piezoelectric ceramic 4.3 in the right driving leg, respectively apply a sawtooth wave voltage signal of the same frequency with slow rising and fast falling voltage and fast rising and slow falling voltage. When in the first half cycle, the left laminated piezoelectric ceramic 3.3 in the left driving foot elongates under the slowly rising voltage signal, driving the left driving foot mechanism 3.1 to produce a certain displacement in the direction 8 parallel to the movement of the guide rail 1, through The frictional force drives the guide rail 1 to move linearly, and the right laminated piezoelectric ceramic 4.3 in the right driving foot rapidly elongates to a certain length under the action of a steeply rising voltage signal, driving the right driving foot mechanism 4.1 to elongate. The speed is faster and has less influence on the guide rail; and when it is in the second half cycle, the left laminated piezoelectric ceramic 3.3 in the left driving foot quickly returns to its original length under the action of the steeply falling voltage signal, and the left driving foot mechanism 3.1 is The left pre-tightening spring 3.2 quickly returns to the initial state under the action of the restoring force of the mechanism. Since the returning state is faster, the impact on the guide rail is small, while the right laminated piezoelectric ceramic 4.3 of the right driving foot is under the action of the slowly falling voltage signal. A certain length returns to the original length, and the driving foot mechanism slowly returns to the initial state under the action of the right pretension spring 4.2 and the mechanism restoring force, and simultaneously drives the guide rail 1 to continue moving along the direction 8 of the upper half cycle through friction. Going round and round in this way, a linear motion with a large stroke is produced.
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