Theoretical and experimental research of asymmetric single pendulum

 

 

CHENG Guangming, HU Yili, LI Xiaoxu, LI Xinhui, WEN Jianming, ZENG Ping

 

(The Institute of Precision Machinery, Zhejiang Normal University, Jinhua 321004, China)

 

 

Abstract: Aiming at the problem that the driving principle of asymmetric vibration was difficult to analyzed in the inertial piezoelectric precise actuators, the simple pendulum with asymmetric structure was proposed. Firstly its model structure and motion principle were discussed. After constructing the nonlinear dynamic equation, the working characteristics was analyzed in two major areas: energy transformation and period of motion. Then, the prototype was designed and fabricated. A series of experiments were performed to test the impact of the initial releasing angle θ0, center distance R and length L1 on the period of motion. The research results indicate that the pendulum length, maximum angle and half period on each side are all different. The motion period of asymmetric single pendulum under large angle condition increases with the increase of the initial releasing angle θ0 and length L1 , but decreases with the increase of the center distance R. The theoretical results of the period are coincident very well with the experiments. The results of the working characteristics of the simple pendulum with asymmetric structure lay the foundation of the development and design of inertial piezoelectric precise actuators.

 

Key words: single pendulum; asymmetric structure; vibration; period