The Linear Vibrational Behavior of Thick Plates Including the Effects of Shear and Rotary Inertia


In this work, a suggested analyticalsolution for static and dynamic analysis of(fiber-reinforced) composite laminatedthick plate is developed by using the singlelayer theory and first-order sheardeformation theory (FSDT) theory. Thedynamic analysis for equations of motionfor those theories is presented and solved byusing the modal analysis method of forcedvibration. A computer program was builtfor this purpose for anti-symmetric crossplyand angle-ply and simply supportedthick laminated plate and the developedequations are solved by using (MATLABV.7) program. The numerical solution byusing finite-element technique is alsoadopted using (ANSYS V5.4) package, tocompare the analytical results. Both aboveapproaches use (FSDT) and include theeffect of shear deformation and rotaryinertia. The results are the deflection, stressin each layer and (through thickness) interlaminarshear stress for thick laminatedplates with different boundary conditionssubjected to the static and dynamic loadingconditions. The results presented show theeffect of plate thickness-to-length ratio (h/a),aspect ratio (a/b), number of layers (N), thedegree of orthotropy ratio (E1/E2), fiberorientation, boundary conditions,lamination scheme, and the effect of sheardeformation and rotary inertia on the thicklaminated plate.