Optimization of Internal Line Support Positions for Plates Against Vibration*

摘要

This paper presents a simple numerical method for determining optimal positions of internal line supports for an arbitrarily shaped plate, so as to maximize the fundamental frequency of its transverse vibration. The vibration analysis is performed using thepb-2 Rayleigh-Ritz method. Because this method does not require discretization, since it treats the entire plate with its boundary conditions as a kind of superelement, the optimization problem becomes relatively easy to solve. To illustrate the method, trapezoidal, elliptical, and semi-circular plates with at most two internal line supports are considered. The optimization exercise, for optimal locations of internal line supports, demonstrates significant improvement in the value of fundamental frequency when compared to that of plates with specified positions of internal supports.