Free vibration analysis of coupled rectangular plates with general elastic boundary conditions
An improve Fourier series method was employed to analyze the free vibration of coupled plates with general elastic boundary conditions.Their vibration displacements were expressed as the linear combination of a double Fourier cosine series and auxiliary series functions.These supplementary functions were used to solve the discontinuity problems of displacement partial differentials along edges.Boundary conditions and coupled conditions were physically realized with the uniform distributions of springs along each boundary edge.Different boundary conditions and coupled conditions were directly obtained by changing the stiffnesses of springs.Then,Hamilton's principle was used to build a matrix eigenvalue equation equivalent to the governing differential equations of a coupled plate,and all the eigenvalues were obtained by solving the matrix equation.Finally,the comparison between the numerical results and those obtained with FEM was presented to validate the correctness of the proposed method.
NETL
NSTL
万方数据
维普
