Repositório Institucional da Unitau
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The adjoint of a nonlinear operator and the inverse problem of the calculus of variations
Universidade de Taubaté (Unitau),DEPT MATEMAT,BR-12100 TAUBATE,SP,BRAZIL; CTR TECN AEROESP,INST TECNOL AERONAUT,DEPT ESTRUTURAS,BR-12225 SAO JOSE CAMPOS,SP,BRAZI
Application of the quadratic functional to non-conservative problems of elastic stability
Universidade de Taubaté (Unitau),BR-12100 TAUBATE,SP,BRAZI
On the use of the quadratic functional and its derived principles in structural mechanics
In this paper the varied form of the quadratic functional is used to derive several principles. Some of them, such as Alambert's, Jourdain's and Gauss' principles are being used currently. The corresponding approximate methods of solution are obtained by employing suitable trial functions and are illustrated by solving two problems. These methods are applicable to linear and nonlinear problems as well as to nonconservative ones.Universidade de Taubaté (Unitau),BR-12100 TAUBATE,SP,BRAZI