Symbolic computation of potential energy functions

  • Authors:

  • Atanas Popov

  • Affiliations:

  • Centre for Nonlinear Dynamics and its Applications, University College London, Gower Street, London

  • Venue:
  • ACM SIGSAM Bulletin
  • Year:
  • 1998

Quantified Score

Hi-index 0.00

Visualization

Abstract

We derive potential energy functions for a shallow cylindrical panel. The starting point is a system of two coupled partial differential equations based on Donnell's shallow shell theory. The total potential energy is approximated using a finite number of degrees of freedom. All calculations are performed by computer algebra routines. Two applications of potential energy functions are discussed: the analysis of shell buckling and the derivation of systems of ordinary differential equations that govern dynamic behaviour.