Abstract
A mixed method that combines the finite element method (FEM), the differential quadrature (DQ) method, and the integral quadrature (IQ) method is proposed to study the transient response of multi-span rectangular plates subjected to moving masses. In this study, the FEM with higher-order interpolation functions is first used to discretize the spatial partial derivatives with respect to a co-ordinate direction of the plate. The DQ and IQ methods are then employed to analogize the resultant system of partial differential equations. The resulting system of ordinary differential equations is then solved using the Newmark time integration scheme. The mixed scheme combines the effectiveness of the FEM in general geometry and systematic boundary treatment and high accuracy and efficiency of the DQM. Its accuracy and fast converging trend are demonstrated by comparing the calculated results with those available in the literature. It is shown that highly accurate results can be obtained by the proposed method using a small number of finite elements and DQ sampling points.
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