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A generalized variational principle for potentializable operators |
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| Authors: | Antonio Marmo de Oliveira Wolodymir Boruszewski |
| Affiliation: | Departamento de Estruturas, ITA/CTA, São José dos Campos, 12225, SP, Brasil Departamento de Matemática, Universidade de Taubaté, Taubaté, 12100, SP, Brasil Divisão de Mecânica, Institute de Pesquisas Espaciais, C.P. 515, São José dos Campos, 12201, SP, Brasil |
| Abstract: | For non-conservative mechanical systems (non-potential operators), classical energetic variational principles do not hold true. In the present paper, a generalized variational principle, valid for non-linear and non-conservative systems, is deduced by means of “potentializable” operators. A systematic inclusion or boundary conditions in problems dealing with such operators is proposed and examples from continuum mechanics are presented. |
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