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The Wave Finite Element Method
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The Wave Finite Element Method

The Wave Finite Element Method

B.F. Shorr

352 pages, parution le 24/11/2003

Résumé

This monograph presents in detail the novel "wave" approach to finite element modeling of transient processes in solids. Strong discontinuities of stress, deformation, and velocity wave fronts as well as a finite magnitude of wave propagation speed over elements are considered. These phenomena, such as explosions, shocks, and seismic waves, involve problems with a time scale near the wave propagation time. Software packages for 1D and 2D problems yield significantly better results than classical FEA, so some FORTRAN programs with the necessary comments are given in the appendix.
The book is written for researchers, lecturers, and advanced students interested in problems of numerical modeling of non-stationary dynamic processes in deformable bodies and continua, and also for engineers and researchers involved designing machines and structures, in which shock, vibro-impact, and other unsteady dynamics and waves processes play a significant role.

Written for:
Researchers in mechanical and civil engineering

Contents

  • Introduction
  • Theory
  • Foundation of the wave finite element method
  • Simulation of simple one-dimensional wave processes
  • Wave propagation in an inelastic rod
  • Coupled longitudinal-torsional waves in a pre-twisted rod
  • Bending waves in a beam
  • One-dimensional waves in elastic continua and structures
  • Numerical simulation of multi-dimensional wave processes
  • Impact loading of a deformable body
  • Unsteady forced vibration of solids
  • Unsteady vibro-impact loading
  • Oscillations of a mechanical system affected by moving loads
  • Dynamic loading of a free edge of a solid
  • Some special problems of solid mechanics
  • Some special unsteady problems in engineering
  • Conclusion

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) B.F. Shorr
Parution 24/11/2003
Nb. de pages 352
Format 16 x 24
Couverture Broché
Poids 680g
Intérieur Noir et Blanc
EAN13 9783540416388

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