A comparison of dynamic responses of three versions of moving load problem involving elastic rectangular plates

摘要

The dynamic responses of an elastic rectangular plate to some types of moving loads' distribution are obtained and compared. The partial differential equation describing the force vibration of each system comprising of the elastic rectangular plate and moving load is expressed in terms of each of the three moving loads' distribution respectively. The three moving loads' distribution considered are concentrated, uniformly and linearly distributed moving masses. An assumed Series solution in the form of the separation of variables is employed to transform each equation of motion into an ordinary coupled differential equation whose solution is obtained in form of a Duhamel integral. Numerical results are presented for simply supported boundary conditions in graphical and tabular forms. It is found that velocity, moving load's distribution and mass ratio (Msr) significantly affect the vibration of the elastic rectangular plate.