Hardening/softening behaviour in non-linear oscillations of structural systems using non-linear normal modes
نویسندگان
چکیده
منابع مشابه
Hardening/softening behaviour in non-linear oscillations of structural systems using non-linear normal modes
The definition of a non-linear normal mode (NNM) as an invariant manifold in phase space is used. In conservative cases, it is shown that normal form theory allows one to compute all NNMs, as well as the attendant dynamics onto the manifolds, in a single operation. Then, a single-mode motion is studied. The aim of the present work is to show that too severe trunc ature using a single linear mod...
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A numerical method for constructing non-linear normal modes (NNMs) for piecewise linear autonomous systems is presented. These NNMs are based on the concept of invariant manifolds, and are obtained using a Galerkin-based solution of the invariant manifold’s non-linear partial differential equations. The accuracy of the constructed non-linear modes is checked by the comparison of the motion on t...
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ژورنال
عنوان ژورنال: Journal of Sound and Vibration
سال: 2004
ISSN: 0022-460X
DOI: 10.1016/j.jsv.2003.04.005