Analytical Solution of Bending and Vibration of a Rectangular Plate on the Elastic Foundation
The analytic solutions of steady vibration of a rectangular plate loaded with vertical force on the semi-infinite elastic foundation were given by combining the general solution of double trigonometrically sine series with supplementary terms with the dynamic integral representations for displacements of the semi-infinite elastic foundation loaded with arbitrary vertical force. Some computational results were presented. The agreements were found to be satisfactory which proved the validity of the new method in solving the problem. This new method would be feasible in practical applications.
H. Zhang et al., "Analytical Solution of Bending and Vibration of a Rectangular Plate on the Elastic Foundation", Advanced Materials Research, Vols. 255-260, pp. 9-13, 2011