جستجوی مقالات مرتبط با کلیدواژه « rectangular plate » در نشریات گروه « مواد و متالورژی »

In this research, the nonlinear free vibration analysis of functionally graded (FG) rectangular plate is investigated analytically using first order shear deformation theory (FSDT) for the first time. For this purpose, firstly, using Hamilton principle, the partial differential equations of motion are developed based on first order shear deformation theory (FSDT) and von Karman nonlinearity strain displacement relations. Afterward, by applying Galerkin method, the nonlinear partial differential equations are transformed into nonlinear ordinary differential equations. Then, using the modified Lindstedt-Poincare method, the nonlinear equation of transverse motion of the FG plate is solved analytically to determine nonlinear frequency ratio. The material properties of the plate are assumed to be graded continuously according to power law distribution in the thickness direction. The effects of some key system parameters such as vibration amplitude, volume fraction index and aspect ratio on the nonlinear natural frequency ratio to linear natural frequency are discussed. To validate the analysis, the results of this study are compared with the results of previously published papers and numerical solution and good agreement has been observed.

This study is investigated the forced vibration analysis of a moderately thick rectangular plate under moving load, which are composed of functionally graded materials and floating on incompressible fluid. The governing equations of the plate are analytically derived based on First-order Shear Deformation Theory (FSDT) with consideration of rotational inertial effects and transverse shear stresses. In order to obtaining the applied pressure on the free surface plate, the method of added mass is used. At first, the natural frequencies and shape modes of the rectangular plate with two parallel simply-supported edges are determined by decoupling and solving the motion equations system. Then, the forced vibration of the plate is investigated by shape mode expansions. Finally, the results of this study are compared and validated with results of other works and the effects of the different geometrical parameters such as the length to width ratio, the height to length ratio, fluid density, fluid depth and index of volume fraction on the dynamic response of the plate are investigated.