A METHOD FOR ESTABLISHING GENERALIZED VARIATIONAL PRINCIPLE

A method for establishing generalized variational principle is proposed in this paper Itis based on the analysis of mechanical meaning and it can be applied to problems in whichthe variational principles are needed but no corresponding variational principle is availableIn this paper,the Hu-Washizu’s generalized variational principle and the Hu’s generalizedprinciple of complementary energy are derived from the mechanical meaning instead offrom the generalization of the principle of minimum potential energy and the correct proofsof these two generalized variational principles are given.It is also proved that this is wrongif one beleives that (?),eand uare independent variables each other based on thereason that these three kinds of variables are all contained in these two generalizedvariational principles.The condition of using these two variational principles in a correctmanner is also explained.