An efficient method for approximating resonance curves of weakly-damped nonlinear mechanical systems

被引：9
作者：
Foerster, Alwin [1 ]
Krack, Malte [2 ]
机构：
[1] Leibniz Univ Hannover, Inst Dynam & Vibrat Res, D-30167 Hannover, Germany
[2] Univ Stuttgart, Inst Aircraft Prop Syst, D-70569 Stuttgart, Germany
来源：
COMPUTERS & STRUCTURES | 2016年 / 169卷
关键词：
Nonlinear vibrations; Locus of resonances; Backbone curve; Direct parametric analysis; Harmonic balance; Detached branches; HARMONIC-BALANCE METHOD; NORMAL-MODES; VIBRATION;
D O I：
10.1016/j.compstruc.2016.03.003
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A method is presented for tracing the locus of a specific peak in the frequency response under variation of a parameter. It is applicable to periodic, steady-state vibrations of harmonically forced nonlinear mechanical systems. It operates in the frequency domain and its central idea is to assume a constant phase lag between forcing and response. The method is validated for a two-degree-of-freedom oscillator with cubic spring and a bladed disk with shroud contact. The method provides superior computational efficiency, but is limited to weakly-damped systems. Finally, the capability to reveal isolated solution branches is highlighted. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：81 / 90
页数：10
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