NONLINEAR COMPLEX DYNAMIC PHENOMENA OF THE PERTURBED METALLIC BAR CONSIDERING DISSIPATING EFFECT  

作　　者：赵广慧 张年梅 杨桂通 

机构地区：[1]Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2005年第2期142-149,共8页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina ( 1 0 1 72 0 63 ) ;YouthSci enceFoundationofShanxiProvince;China ( 2 0 0 1 1 0 0 4)

摘　　要：Considering Peierls-Nabarro effect, one-dimensional finite metallic bar subjected with periodic field was researched under Neumann boundary condition. Dynamics of this system was described with displacement by perturbed sine-Gordon type equation. Finite difference scheme with fourth-order central differences in space and second-order central differences in time was used to simulate dynamic responses of this system. For the metallic bar with specified sizes and physical features, effect of amplitude of external driving on dynamic behavior of the bar was investigated under initial “breather” condition. Four kinds of typical dynamic behaviors are shown: x-independent simple harmonic motion; harmonic motion with single wave; quasi-periodic motion with single wave; temporal chaotic motion with single spatial mode. Poincaré map and power spectrum are used to determine dynamic features.Considering Peierls-Nabarro effect, one-dimensional finite metallic bar subjected with periodic field was researched under Neumann boundary condition. Dynamics of this system was described with displacement by perturbed sine-Gordon type equation. Finite difference scheme with fourth-order central differences in space and second-order central differences in time was used to simulate dynamic responses of this system. For the metallic bar with specified sizes and physical features, effect of amplitude of external driving on dynamic behavior of the bar was investigated under initial “breather” condition. Four kinds of typical dynamic behaviors are shown: x-independent simple harmonic motion; harmonic motion with single wave; quasi-periodic motion with single wave; temporal chaotic motion with single spatial mode. Poincaré map and power spectrum are used to determine dynamic features.

关 键 词：sine-Gordon system Neumann boundary condition CHAOTIC 

分 类 号：TG115[金属学及工艺—物理冶金]