VIBRATIONS OF ISOTROPIC, ORTHOTROPIC AND LAMINATED COMPOSITE PLATES WITH VARIOUS BOUNDARY CONDITIONS
M.Ćetković, Đ.Vuksanović
(UDC:624.073.132)
Abstract:
In this paper Generalized Layer Wise Plate Theory of Reddy (GLPT) is used to formulate an isoparametric finite element model for free vibrations of isotropic, orthotropic and laminated composite plates. With the assumed displacement field, linear strain displacement relations and linear elastic orthotropic material properties for each lamina, governing differential equations of motion are derived using Hamilton‘s principle. Virtual work statement is then utilized to formulate isoparametric finite element model. The original MATLAB computer program is coded for finite element solution. The parametric effects of plate aspect ratio b/a , side-tothickness ratio a/h, degree of orthotropy E1 / E2 and boundary conditions on free vibration response of isotropic, orthotropic and anisotropic plates are analyzed. The accuracy of the present formulation is demonstrated through a number of examples and by comparison with results available from the literature.
