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On the advantages of a geometrical viewpoint in the derivation of Lagrange’s equations for a rigid continuum

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Book cover Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids

Abstract

By way of background, it may be remarked that for a body consisting of finitely many particles, several different derivations of Lagrange’s equations can be found in the dynamics literature.1 These include: derivations proceeding from Newton’s second law by an unenlightening manipulation of partial derivatives; those employing the principle of virtual work; and those appealing to variational principles.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of California at Berkeley, Berkeley, California, 94720, USA

    J. Casey

Authors
  1. J. Casey
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Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, University of California at Berkeley, USA

    James Casey

  2. Center for Systems Engineering and Applied Mechanics, Université Catholique de Louvain, Belgium

    Marcel J. Crochet

Additional information

Dedicated to Paul M. Naghdi on the occasion of his 70th birthday, whose gifts as a teacher and creator of mechanics have been a source of continual inspiration

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© 1995 Birkhäuser Verlag Basel/Switzerland

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Casey, J. (1995). On the advantages of a geometrical viewpoint in the derivation of Lagrange’s equations for a rigid continuum. In: Casey, J., Crochet, M.J. (eds) Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9229-2_41

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  • DOI: https://doi.org/10.1007/978-3-0348-9229-2_41

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9954-3

  • Online ISBN: 978-3-0348-9229-2

  • eBook Packages: Springer Book Archive

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