An optimum modal superposition approach in the computation of moving mass induced vibrations of a distributed parameter system

Studied herein is the dynamic behavior of a circular thin plate traversed by a moving mass. The spatial domain is discretized by a series of the plate natural shape functions. A novel effective computational optimization is developed in the mathematical definition of the moving mass and its substructure interaction. The efficiency and the accuracy of the optimized method are evaluated and several bench mark solutions are represented. The utilization of the optimized method in the numerical model is observed to considerably suppress the computational efforts. Thus, the technique can highly facilitate the voluminous parametric studies for engineering practitioners.

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