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Shock and Vibration
Volume 7, Issue 2, Pages 113-117

Study of Dynamic Characteristics of Slow-Changing Process

Yinong Li,1 Ling Zheng,2 and Bangchun Wen3

1State Key Lab. of Mechanical Transmission, Chongqing University, Chongqing, 400044, China
2Department of Automobile Engineering, Chongqing University, Chongqing, 400044, China
3School of Mechanical Engineering, Northeastern University, Shenyang, Liaoning, 110006, China

Received 21 April 1999; Revised 25 January 2000

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.