Study of dynamic characteristics of slow-changing process

Article type: Research Article

Authors: Yinong Li, | Ling Zheng, | Bangchun Wen,

Affiliations: State Key Lab. of Mechanical Transmission, Chongqing University, Chongqing, 400044, China. Tel.: +86 023 65106094; Fax: +86 023 65106195; E-mail: ynli@ cqu.edu.cn | Department of Automobile Engineering, Chongqing University, Chongqing, 400044, China | School of Mechanical Engineering, Northeastern University, Shenyang, Liaoning, 110006, China. Tel.: +86 024 23906311; Fax: +86 024 23890448; E-mail: [email protected]

Abstract: A vibration system with slow-changing parameters is a typical nonlinear system. Such systems often occur in the working and controlled process of some intelligent structures when vibration and deformation exist synchronously. In this paper, a system with slow-changing stiffness, damping and mass is analyzed in an intelligent structure. The relationship between the amplitude and the frequency of the system is studied, and its dynamic characteristic is also discussed. Finally, a piecewise linear method is developed on the basis of the asymptotic method. The simulation and the experiment show that a suitable slow-changing stiffness can restrain the amplitude of the system when the system passes through the resonant region.

Journal: Shock and Vibration, vol. 7, no. 2, pp. 113-117, 2000