Nonlinear Dynamic Response of an Isotropic Rectangular Plate resting on elastic foundation under influence of moving mass

In this paper, nonlinear dynamics of an isotropic rectangular plate resting on elastic foundation under influence of a moving mass is considered. The governing nonlinear coupled partial differential equations of motion is derived by energy method using Hamilton’s principle based on the large deflection theory in conjuncture with the Von-Karman straindisplacementrelations. Then the Galerkin’s method is used to transform the equations of motion into the three coupledordinary differential equations and then the numerical integration method is applied to compute the dynamic responses of the plate on elastic foundation under the travelling mass. To verify the validity of the obtained results, some special case of this study is compared to other researcher’s study. A parametric study was conducted by changing the foundation parameters and the velocity of the moving mass. Furthermore, normalized time histories of the plate central point werecalculated for various load velocity and compared with the linear solution results. It is observed that the inclusion of geometrical nonlinearity and foundation stiffness into the system will produce significant effect in the plate’s dynamic response

کلیدواژه ها:

Nonlinear dynamics ، rectangular plate ، moving mass ، elastic foundation ، Galerkin’s method