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Natural oscillations in systems with many degrees of freedom. Normal oscillations

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Regular and Chaotic Oscillations

Part of the book series: Foundations of Engineering Mechanics ((FOUNDATIONS))

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Abstract

Each dynamical system can be characterized by a set of natural oscillations called normal oscillations. The number of normal oscillations depends on the number of degrees of freedom of the system. For linear systems the number of normal oscillations is exactly equal to the number of degrees of freedom, whereas for nonlinear systems this is not necessarily so. For continuous systems having an infinitely large number of degrees of freedom the number of normal oscillations is infinite, but in the case of bounded systems it is denumerable.

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© 2001 Springer-Verlag Berlin Heidelberg

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Landa, P.S. (2001). Natural oscillations in systems with many degrees of freedom. Normal oscillations. In: Regular and Chaotic Oscillations. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45252-2_5

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  • DOI: https://doi.org/10.1007/978-3-540-45252-2_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07423-3

  • Online ISBN: 978-3-540-45252-2

  • eBook Packages: Springer Book Archive

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