A Hamiltonian-based method is introduced to find exact solutions for steady state forced vibration of a fully clamped orthotropic functionally graded(FG)rectangular plate.The proposed method has two major steps.Firstly,the steady state response for an FG rectangular plate with Naiver-type boundary conditions is analytically derived by a wave-based symplectic method.Subsequently,exact solutions of the fully clamped FG rectangular plate are obtained by a symplectic superposition technique.The overall procedure is systematic with a clearly defined,step-by-step derivation.The accuracy of the obtained exact solutions is highlighted in comparison with reference data.Numerical results are presented to reveal the effects of the material properties.
展开▼
