Nonlinear normal modes, modal interactions and isolated resonance curves
Nonlinear normal modes, modal interactions and isolated resonance curves
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DOI：
10.1016/j.jsv.2015.04.035
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发表时间：
2015-09-01
影响因子：
4.7
通讯作者：
Allen, M. S.
中科院分区：
文献类型：
--
作者：
Kuether, R. J.;Renson, L.;Allen, M. S.
本研究的目的是探讨之间的联系的非线性正常模式的无阻尼和无强迫非线性系统和孤立的共振曲线，可能会出现在阻尼响应的强迫系统。为此，使用能量平衡技术来预测激励特定非线性正常模式所需的谐波强迫的幅度。一个悬臂梁与非线性弹簧在其尖端用来说明的发展。孤立共振曲线的实际意义也讨论了计算梁的正弦扫描激励的振幅增加。(C)2015爱思唯尔有限公司版权所有。
The objective of the present study is to explore the connection between the nonlinear normal modes of an undamped and unforced nonlinear system and the isolated resonance curves that may appear in the damped response of the forced system. To this end, an energy balance technique is used to predict the amplitude of the harmonic forcing that is necessary to excite a specific nonlinear normal mode. A cantilever beam with a nonlinear spring at its tip serves to illustrate the developments. The practical implications of isolated resonance curves are also discussed by computing the beam response to sine sweep excitations of increasing amplitudes. (C) 2015 Elsevier Ltd. All rights reserved.