Geometric Nonlinear Elasto-Dynamics Problems Solved by Variational Method

With the development of hydromechanics and aeromechanics, the interest in non-conservative and non-selfadjoint problems has increased. However some traditional variational methods are not applicable to these problems, which have no energy functional in full variable form. And weighted residuals method is the general name of a series of approximate numerical methods for non-energy variational equations. Generalized Galerkin method is just one of weighted residual method, which is engineer’s experience summary in long practical applied process for the numerical analysis methods. Generalized Galerkin method is often used for dynamic response problems. In this paper, the general process for solving geometric nonlinear elasto-dynamics problem in non-conservative system is presented. The vibration problem of elastic thin plate with large deflection in non-conservative system is solved by generalized Galerkin method. Finally, some correlative problems are discussed.Copyright © 2010 by ASME