Visco-elastic systems under both deterministic and bound random parametric excitation

被引：1
|
作者：
Wei, X [1 ]
Rong, HW
Tong, F
机构：
[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
[2] Foshan Univ, Dept Math, Guangdong 528000, Peoples R China
[3] Northwestern Polytech Univ, Inst Vibrat Engn, Xian 710072, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2003年 / 24卷 / 09期
关键词：
principal resonance; visco-elastic system; multiple scale method; largest liapunov exponent; bifurcation;
D O I：
10.1007/BF02437641
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The principal resonance of a visco-elastic systems under both deterministic and random parametric excitation was investigated. The method of multiple scales was used to determine the equations of modulation of amplitude and phase. The behavior, stability and bifurcation of steady state response were studied by means of qualitative analysis. The contributions from the visco-elastic force to both damping and stiffness can be taken into account. The effects of damping, detuning, bandwidth, and magnitudes of deterministic and random excitations were analyzed. The theoretical analysis is verified by numerical results.
引用
收藏
页码：1089 / 1099
页数：11
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