Stability analysis for nonplanar free vibrations of a cantilever beam by using nonlinear normal modes

被引：0
|
作者：
W. K. Lee
K. S. Lee
C. H. Pak
机构：
[1] Yeungnam University,School of Mechanical Engineering
[2] Samsung Electronics Co. Ltd.,Mobile Communication Division, Telecommunication Network Business
[3] Inha University,Department of Mechanical Engineering
来源：
Nonlinear Dynamics | 2008年 / 52卷
关键词：
Stability analysis; Nonplanar vibrations; Cantilever beam; Nonlinear normal modes; Synge’s stability; Poincaré map;
D O I：
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中图分类号：
学科分类号：
摘要：
Stability analysis of nonplanar free vibrations of a cantilever beam is made by using the nonlinear normal mode concept. Assuming nonplanar motion of the beam, we introduce a nonlinear two-degree-of-freedom model by using Galerkin’s method based on the first mode in each direction. The system turns out to have two normal modes. Using Synge’s stability concept, we examine the stability of each mode. In order to check the validity of the stability criterion obtained analytically, we plot a Poincaré map of the motions neighboring on each mode obtained numerically. It is found that the maps agree with the stability criterion obtained analytically.
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页码：217 / 225
页数：8
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