Normal Modes for Non-Linear Vibratory Systems
نویسندگان
چکیده
منابع مشابه
Large-amplitude non-linear normal modes of piecewise linear systems
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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15 صفحه اولNon-linear normal modes and invariant manifolds
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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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Numerical computation of Nonlinear Normal Modes (NNMs) for conservative vibratory systems is addressed, with the aim of deriving accurate reduced-order models up to large amplitudes. A numerical method is developed, based on the center manifold approach for NNMs, which uses an interpretation of the equations as a transport problem, coupled to a periodicity condition for ensuring manifold’s cont...
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ژورنال
عنوان ژورنال: Journal of Sound and Vibration
سال: 1993
ISSN: 0022-460X
DOI: 10.1006/jsvi.1993.1198