Nonlinear dynamics of slider crank mechanism with rubber linkage

CHENG Shou-guo1,2, CHEN Hu-wei3,4, LV Qing-tao5
(1.School of Mechatronics Engineering and Automation, Shanghai University, Shanghai 200072,China;
2.Department of Mechanical and Electrical Engineering, Jiangyin Polytechnic College,Jiangyin 214405, China;
3.Jiangsu Aerospace Power Machinery & Electrical Co., Ltd., Taizhou 214523, China;
4.Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China;
5.Shanghai Tianming Information Technology Co., Ltd., Shanghai 201499, China)

Abstract: Aiming at the influence of rubber material components on the dynamics of the mechanism, the dynamics model of the rigid flexible coupling crank slider mechanism with rubber connecting rod was established by using the finite element method. The flexibility of the rubber material components in the crank slider mechanism, the crank speed, the outer diameter of the crank and the outside diameter of the rubber connecting rod bearing were studied and the changing rules of the displacement, speed and acceleration of the slider in the crank slider mechanism under different conditions were summarized. The stability of the rigid flexible coupling system movement was discussed by the phase diagram observation method, the maximum Lyapunov exponent method and the power spectrum method. The results show that under the condition, the effective length of the connecting rod is constant, the flexibility of the rubber material of the connecting rod, the rotation speed of the crank and the outer diameter of the crank and the rubber connecting rod bearing have little influence on the displacement and speed of the slider, and have great influence on the acceleration of the slider. Considering the flexibility of the rubber component, the movement of the slider is chaotic, the crank speed and the size of the outer diameter of the rubber connecting rod bearing have certain influence on the stability of the system movement.
Key words: rubber material; crank slider mechanism; rigid flexible coupling; Lyapunov exponent; chaos