Vibration of an initially stressed rectangular plate due to an accelerated traveling mass

This paper presents a combined application of the ritz method, the differential quadrature (dq)method, and the integral quadrature (iq) method to vibration problem of rectangular plates subjectedto accelerated traveling masses. in this study, the ritz method with beam eigenfunctions is first used todiscretize the spatial partial derivatives with respect to a co-ordinate direction of the plate. the dq andiq methods are then employed to analogize the resultant system of partial differential equations. theresulting system of ordinary differential equations is then solved by using the newmark time integrationscheme. the mixed scheme combines the simplicity of the ritz method and high accuracy and efficiencyof the dq method. the accuracy of the proposed method is demonstrated by comparing the calculatedresults with those of the existing literature. it is shown that highly accurate results can be obtainedusing a small number of ritz terms and dqm sampling points. finally, the effects of following parametershaving something to do with the title problem are investigated: moving load speed and acceleration, andtransverse inertia of the moving load. numerical results show that all the above-mentioned parametershave significant effects on the transient response of such structures under traveling dynamic loads.