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Symbolic Computation of Potential Energy Functions

A. Popov
Journal / Anthology

Sigsam Bulletin
Year: 1998
Volume: 32
Issue: 2
Page range: 12-18

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.

*Science > Physics > Thermodynamics and Statistical Mechanics