| 轴向变速黏弹性梁非线性动力学行为数值研究 |
| |
| 引用本文： | 唐震,张学勇,黄凯,李平,刘东. 轴向变速黏弹性梁非线性动力学行为数值研究[J]. 合肥工业大学学报(自然科学版), 2010, 33(1) |
| |
| 作者姓名： | 唐震 张学勇 黄凯 李平 刘东 |
| |
| 作者单位： | 安徽建筑工业学院数理系,安徽,合肥,230601;安徽建筑工业学院数理系,安徽,合肥,230601;安徽建筑工业学院数理系,安徽,合肥,230601;安徽建筑工业学院数理系,安徽,合肥,230601;安徽建筑工业学院数理系,安徽,合肥,230601 |
| |
| 基金项目： | 安徽省教育厅自然科学基金 |
| |
| 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。
|
| 关 键 词： | 黏弹性 轴向运动梁 非线性动力学 有限差分法 混沌 |
Numerical analysis of nonlinear dynamical behavior of axially moving viscoelastic beams |
| |
| TANG Zhen,ZHANG Xue-yong,HUANG Kai,LI Ping,LIU Dong. Numerical analysis of nonlinear dynamical behavior of axially moving viscoelastic beams[J]. Journal of Hefei University of Technology(Natural Science), 2010, 33(1) |
| |
| Authors: | TANG Zhen ZHANG Xue-yong HUANG Kai LI Ping LIU Dong |
| |
| Abstract: | 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 occurring in the transverse vibrations of the axially accelerating viscoelastic beam. |
| |
| Keywords: | viscoelasticity axially moving beam finite difference method chaotic motion |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
