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Dynamics of Elastic Bodies

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Variational Principles of Continuum Mechanics

Part of the book series: Interaction of Mechanics and Mathematics ((IMM))

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Abstract

The extrapolation to dynamics of the minimization principles formulated above encounters difficulties, the essence of which can be observed for systems with one degree of freedom.

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References

  1. V.L. Berdichevsky. Variational principles of continuum mechanics. Nauka, Moscow, 1983.

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  2. R. Courant and D. Hilbert. Methods of mathematical physics, volume I. Interscience Publisher Inc., New York, 1953.

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  3. S.H. Gould. Variational methods for eigenvalue problems; an introduction to the Weinstein method of intermediate problems. Toronto University Press; Oxford University Press, Toronto London, 2nd edition, 1966.

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  4. J.W.S. Rayleigh. The theory of sound. Dover, New York, 1945.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Wayne State University, 48202, Detroit, MI, USA

    V.L. Berdichevsky (Professor of Mechanics)

Authors
  1. V.L. Berdichevsky
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Correspondence to V.L. Berdichevsky .

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© 2009 Springer-Verlag Berlin Heidelberg

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Berdichevsky, V. (2009). Dynamics of Elastic Bodies. In: Variational Principles of Continuum Mechanics. Interaction of Mechanics and Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88467-5_8

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  • DOI: https://doi.org/10.1007/978-3-540-88467-5_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88466-8

  • Online ISBN: 978-3-540-88467-5

  • eBook Packages: EngineeringEngineering (R0)

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