Nonlinear dynamics for transverse motion of axially moving strings

被引：34
|
作者：
Chen, Li-Qun [1 ]
Zhang, Wei [2 ]
Zu, Jean W. [3 ]
机构：
[1] Shanghai Univ, Dept Mech, Shanghai 200444, Peoples R China
[2] Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China
[3] Univ Toronto, Dept Mech & Ind Engn, Toronto, ON M5S 3G8, Canada
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 01期
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
INTEGRAL CONSTITUTIVE LAW; ACCELERATING VISCOELASTIC STRINGS; TIME-VARYING VELOCITY; GEOMETRIC NONLINEARITY; PARAMETRIC VIBRATION; STABILITY ANALYSIS; CONVEYOR BELT; PART I; ENERGETICS; ORBITS;
D O I：
10.1016/j.chaos.2007.07.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The latest progresses on nonlinear dynamics for transverse motion of axially moving strings are summarized. A uniform governing equation incorporated arbitrary forms of the constitutive law of the string material is presented. The research results obtained by Chinese researchers are highlighted in the respects of nonlinear parametric vibrations, global bifurcations, chaotic behaviors, numerical algorithms and energetics with conserved quantities. Some advances achieved by other groups are also mentioned. Finally promising topics for future researches in the field are proposed. (C) 2009 Published by Elsevier Ltd.
引用
收藏
页码：78 / 90
页数：13
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