The forced vibrations of orthotropic cantilever rectangular thin plates under harmonic loadings were investigated with the symplectic superposition method.The basic equations for the forced vibration of thin plates were introduced into the Hamiltonian system.The original problem was divided into some fundamental subproblems,and the analytical solutions of the subproblems were derived with the method of separation of variables and through eigenvector expansion in the symplectic space.The solution of the original problem was finally obtained by superposition.The main advantage of the symplectic superposition method is that the analyti-cal solution can be obtained by step-by-step rigorous derivation,without any assumptions on the form of the solution,which breaks through the limitations of traditional semi-inverse methods.The numerical results calcu-lated corresponding to different harmonic loads were compared with those obtained via the finite element meth-od to verify the reliability and accuracy of the proposed method.
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