Center Manifold Reduction for Nonlinear Time-Delayed Systems Composed of Stiff and Soft Substructures
Based on the center manifold reduction, mis paper presents an approach to reduce nonlinear systems composed of both stiff and soft substructures and with time delays as well. The reduction procedure consists of two main steps. The first step is to convert the system equation into the standard critical form of delayed systems by introducing new time scales, a small singular parameter and some transformations between the state variables. The second step is to find a series approximation to the center manifold by solving some boundary value problems. Once the delayed system is reduced onto the center manifold, the further analysis can be made on the local dynamics such as the system stability and bifurcation. It has been successfully used in the stability analysis for a quarter car model equipped with an active suspension with a time delay caused by hydraulic actuator.
Z.H.Wang H.Y.Hu
Department of Applied Mathematics and Physics, PLA University of Science and Technology, 210007 Nanj Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, Nan
国际会议
上海
英文
126-131
2003-11-09（万方平台首次上网日期，不代表论文的发表时间）