Asymptotic construction of nonlinear normal modes for continuous systems

被引：5
|
作者：
Andrianov, I. V. [1 ]
机构：
[1] Rhein Westfal TH Aachen, Inst Allgemeine Mech, D-52056 Aachen, Germany
来源：
NONLINEAR DYNAMICS | 2008年 / 51卷 / 1-2期
关键词：
nonlinear oscillations; normal mode; asymptotic approach; continuous system;
D O I：
10.1007/s11071-006-9195-9
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper provides a review of some asymptotic methods for construction of nonlinear normal modes for continuous system (NNMCS). Asymptotic methods of solving problems relating to NNMCS have been developed by many authors. The main features of this paper are that (i) it is devoted to the basic principles of asymptotic approaches for constructing of NNMCS; (ii) it deals with both traditional approaches and, less widely used, new approaches; and (iii) it pays a lot of attention to the analysis of widely used simplified mechanical models for the analysis of NNMCS. The author has paid special attention to examples and discussion of results.
引用
收藏
页码：99 / 109
页数：11
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