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On normal mode vibrations

Published online by Cambridge University Press:  24 October 2008

R. M. Rosenberg
R. M. Rosenberg
Affiliation:
University of California, Berkeley
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Extract

1. Introduction. In linear systems, the concept of ‘free vibrations in normal modes’ is well defined and fully understood. The meaning of this phrase is far less clear when it is applied to non-linear systems. It is the purpose here to define and examine the free vibrations in normal modes (and their stability) in certain non-linear systems composed of masses and springs and having a finite number of degrees of freedom. Of necessity, such a paper is in some degree conceptual in nature.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 3 , July 1964 , pp. 595 - 611
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

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