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A numerical method for determining nonlinear normal modes

delete1996-05-01
delete48
PRE
AI
J
J. C. Slater *
DOI：10.1007/BF00114796delete
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Abstract

Abstract

En 中文
This paper examines a new approach for determining the nonlinear normal modes of undamped nongyroscopic multiple degree-of-freedom systems. Unlike algebraic solutions that generally assume a solution in the form of a polynomial expansion, this method makes only the assumption of repetitive motion in numerically determining the mode shapes. The advantage of this approach is that the accuracy obtained in the mode shape identification is a function only of the accuracy of the numerical integration used and not of the number of terms in the power series expansion. The drawbacks are that invariance of the modal manifolds cannot be proven and mode bifurcations can be easily overlooked.
Keywords:
nonlinear models
nonlinear dynamics
numerical methods

Journal

Nonlinear Dynamics cover
Nonlinear Dynamics
IF:
6
Papers:
1.4W
Citations:
4.1W

Organization

No organization information available