燕山大学学报2016，Vol.40Issue(2)：142-149,8.
一类外激励作用下强非线性扭振系统的振动特性研究
Research on torsional vibration of strongly nonlinear relative-rotation dynamical system
摘要
Abstract
For the research on torsional vibration of a strongly nonlinear relative⁃rotation dynamical system, the torsional vibration e⁃quation of system with nonlinear stiffness, nonlinear damping and external excitation is established. The approximate solution of sys⁃tem is solved with the method of modified Lindstedt⁃Poincare. Besides, combining the method of multiple scales, the influence of amplitude-frequency property caused by parameters is analyzed. Last, the complex dynamics behavior of system caused by the change of excitation amplitude is studied through numerical simulation, and the evolution process of system from stability to chaos is described by the use of bifurcation diagram, maximum Lyapunov index figure and Poincare section graph. This provides a theoreti⁃cal basis for the stability and instability research of system.关键词
扭振系统/强非线性/近似解/混沌Key words
relatively rotation system/strongly nonlinear/approximate solution/chaos分类
机械制造引用本文复制引用
刘爽,艾红玲,户继建,李延树..一类外激励作用下强非线性扭振系统的振动特性研究[J].燕山大学学报,2016,40(2):142-149,8.基金项目
国家自然科学基金资助项目（61104040，51575472）；河北省人力保障人才工程项目 （）
