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Structural Dynamics

  • M. Geradin
  • A. Huck
  • B. Fraeijs de Veubeke
Part of the International Centre for Mechanical Sciences book series (CISM, volume 126)

Abstract

Linear structural dynamics is one of the many field problems of engineering that can receive a variational formulation. The classical approach is the kinematical one, and the discretization of the Hamiltonian variational principle in finite elements results from a polynomial approximation of the displacement field inside each separate region. Continuity will be secured through identification of a suitable set of generalized interface displacements, in which case the kinematical elements are said to be conforming. Integrating the kinetic and potential energies of the finite elements leads to lagrangian, or so-called coherent, mass and stiffness matrices.

Keywords

Variational Principle Surface Traction Eigenvalue Analysis Rayleigh Quotient Cantilever Plate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 1972

Authors and Affiliations

  • M. Geradin
    • 1
  • A. Huck
    • 1
  • B. Fraeijs de Veubeke
    • 1
  1. 1.Laboratoire de Techniques Aéronautiques et SpatialesUniversité de LiègeBelgium

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