A perturbation method for evaluating nonlinear normal modes of a piecewise linear two-degrees-of-freedom system

被引：0
|
作者：
Fabrizio Vestroni
Angelo Luongo
Achille Paolone
机构：
[1] University of Rome “La Sapienza”,DISG
[2] University of L’Aquila,DISAT
来源：
Nonlinear Dynamics | 2008年 / 54卷
关键词：
Nonlinear normal modes; Piecewise-linear systems; Perturbation methods; Damaged systems; Cracked beams;
D O I：
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学科分类号：
摘要：
The classical Lindstedt–Poincaré method is adapted to analyze the nonlinear normal modes of a piecewise linear system. A simple two degrees-of-freedom, representing a beam with a breathing crack is considered. The fundamental branches of the two modes and their stability are drawn by varying the severity of the crack, i.e., the level of nonlinearity. Results furnished by the asymptotic method give insight into the mechanical behavior of the system and agree well with numerical results; the existence of superabundant modes is proven. The unstable regions and the bifurcated branches are followed by a numerical procedure based on the Poincarè map.
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页码：379 / 393
页数：14
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