The Application of Time–Domain DQM to the Dynamically Forced Vibration of Simply Supported Plates

The time–domain DQM is for discretizing space domain of continuous functions as well as time domain of that. In this paper, a study of the forced vibration of simply supported plates subjected to a transverse uniform load is presented on the basis of the time–domain DQM. Applying DQM both in space domain and time domain, the partial differential governing equations and initial–boundary conditions are discretized into linear algebraic equations which are solved easily to obtain the transverse deflection of simply supported plates subjected to a transverse load. The numerical results of two examples show that these numerical results of time–domain DQM are in good agreement with analytical solution and that the accuracy and efficiency of time–domain DQM are excellent under certain number of nodes. It is simple and easy for the mathematical principle of space–time DQM to implement in program, so it has a bright application prospect in the dynamic analysis field and is worthy of a further study.