Dynamic Analysis of Elastic Plates with Circular Holes,

摘要

The problem of the free vibrations of a rectangular elastic plate,either clamped or simply supported,with a central circular hole has been investigated by a least-squares point-matching method. The results are given in the form of curves relating the natural frequency of the plate to the hole size for a variety of Poisson's ratios. The curves do not behave monotonically,and the hole size at which the frequency is a minimum is seen to be dependent not only on the boundary conditions but also on Poisson's ratio. A two-fold mechanism of strain relief and mass reduction is proposed to explain these results as well as the results of previouw studies on the vibrations of plates with discontinuities. (Author)