Vibration analysis of the boom of aerial work platform in horizontal linear motion

DENG Ming, JI Ai-min, ZHANG Lei, WANG Hao, ZHAO Zhong-hang
(College of Mechanical and Electrical Engineering, Hohai University, Changzhou 213022, China)

Abstract: Aiming at the linear trajectory movement of the straight-arm aerial work platform, its vibration characteristics were studied. Firstly, the inverse algorithm was used to get the relationship between the boom expansion and luffing. Secondly, considering the actual overlap of the booms and the actual support of the bottom luffing hydraulic cylinder, the boom was considered as a variable-section, variable-length beam with hinged roots, elastic support and centralized parameters. Then，based on the Hamilton principle, differential equations of the boom in horizontal linear motion were established. The modal superposition method was applied to solve the transient mode function at different times, and the time-varying parameters were fitted to approximate the vibration mode with different length. Finally, the Galerkin truncation method was used to truncate the first two order modes, which was used to establish the state space equations in generalized coordinates. The dynamic simulation was performed in the MATLAB/Simulink environment to obtain the vibration response of the boom head, and the numerical calculation results were obtained through example solution. The results indicate that the model provides a theoretical reference for the vibration control of the boom of the aerial work platform in the linear trajectory movement.

Key words: horizontal linear motion; Hamilton principle; state-space equation; vibration response