For non-conservative mechanical systems classical variational principles do not hold true; however, recent results on the so-called ‘inverse problem’ of calculus of variations lead to extended variational formulations, which can be provided even for non-conservative systems. In this contribution, f.e. models derived from extended variational principles are discussed in a significant case of an illconditioned balance equation. It appears that extended mixed variational formulations could improve the numerical performance of f.e. methods for this class of problems.

Extended variational formulations and F .E models for non-linear non-conservative mechanical problems

TRALLI, Antonio Michele
1985

Abstract

For non-conservative mechanical systems classical variational principles do not hold true; however, recent results on the so-called ‘inverse problem’ of calculus of variations lead to extended variational formulations, which can be provided even for non-conservative systems. In this contribution, f.e. models derived from extended variational principles are discussed in a significant case of an illconditioned balance equation. It appears that extended mixed variational formulations could improve the numerical performance of f.e. methods for this class of problems.
1985
S., Alliney; Tralli, Antonio Michele
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/463297
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