Research into the Problem of Aeroelasticity Based on Generalized Quasi-variational Principles of Elasto-dynamics

摘要

The generalized non-conservative system's generalized quasi-variational principle has great potential for analytical and approximate solutions for problems in science and engineering. The research on it is a very important research field that involves multiple disciplines. In the paper, considering the influences of damping forces and fellow forces and indicating basic equations of generalized non-conservative elasto-dynamics, according to the corresponding relations between generalized forces and generalized displacements, the basic equations of non-conservative elasto-dynamics were convol-multiplied by corresponding virtual quantities, integrated and then added algebraically, we established generalized quasi-variational principles with two kinds of variables of generalized non-conservative elasto-dynamics by dint of the variational integral method. A example of aeroelasticity was solved by applying generalized quasi-complementary energy principles with two kinds of variables.