Numerical computation of nonlinear normal modes in mechanical engineering

被引：131
作者：
Renson, L. [1 ]
Kerschen, G. [1 ]
Cochelin, B. [2 ]
机构：
[1] Univ Liege, Dept Aerosp & Mech Engn, Space Struct & Syst Lab, Liege, Belgium
[2] Aix Marseille Univ, Cent Marseille, LMA, CNRS UPR 7051, F-13451 Marseille, France
来源：
JOURNAL OF SOUND AND VIBRATION | 2016年 / 364卷
关键词：
HARMONIC-BALANCE METHOD; PERIODIC-SOLUTIONS; MODAL-ANALYSIS; FREE-VIBRATIONS; FINITE-ELEMENT; BIFURCATION-ANALYSIS; LINEAR-OSCILLATOR; COMPLEX DYNAMICS; CONTINUATION; SYSTEMS;
D O I：
10.1016/j.jsv.2015.09.033
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
This paper reviews the recent advances in computational methods for nonlinear normal modes (NNMs). Different algorithms for the computation of undamped and damped NNMs are presented, and their respective advantages and limitations are discussed. The methods are illustrated using various applications ranging from low-dimensional weakly nonlinear systems to strongly nonlinear industrial structures. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：177 / 206
页数：30
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