轴向变速黏弹性梁非线性动力学行为数值研究  

Numerical analysis of nonlinear dynamical behavior of axially moving viscoelastic beams

作　　者：唐震[1] 张学勇[1] 黄凯[1] 李平[1] 刘东[1] 

机构地区：[1]安徽建筑工业学院数理系,安徽合肥230601

出　　处：《合肥工业大学学报（自然科学版）》2010年第1期148-150,共3页Journal of Hefei University of Technology：Natural Science

基　　金：安徽省教育厅自然科学基金资助项目(KJ2008B262)

摘　　要：文章用数值方法研究了轴向变速运动黏弹性梁的参数振动非线性动力学行为问题;基于数值方法对描述系统运动的偏微分方程的数值解,识别系统的混沌非线性动力学行为;采用时间序列分析方法,分别利用Poincaré映射图、频谱分析以及最大Lyapunov指数识别系统的周期振动和混沌运动。In this paper,the nonlinear dynamical behavior of axially moving viscoelastic beams are investigated by numerical methods.Based on the numerical solutions to the partial differential equations calculated by the finite difference method,the nonlinear dynamical behavior like chaos is identified.With the help of the analysis of the time series based on the numerical solutions,the phase plane,the Poincaré map,and the Lyapunov exponent are used to indicate the periodic motions or chaotic motions occurring in the transverse vibrations of the axially accelerating viscoelastic beam.

关 键 词：黏弹性 轴向运动梁 非线性动力学 有限差分法 混沌 

分 类 号：O322[理学—一般力学与力学基础]