Free Vibration Analysis of Simply Supported Orthotropic Square Plates with a Square Hole

概要

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An approximate method is extended for analyzing the free vibration problem of simply supported orthotropic square plate with a square hole. In this paper, a square plate with a square hole is transformed into an equivalent square plate with non-uniform thickness byconsidering the hole as an extremely thin part of the equivalent plate. Therefore,the dynamic characteristics of a plate with a hole can be obtained by analyzing the equivalent plate. The Green function, which is the discrete solution for the deflection of the equivalent plate, is used to obtain the characteristic equation of the free vibration.The effects of the side to thickness ratio, hole side to plate side ratio and the variation of the thickness on the frequencies are considered. Some numerical analyses are carried out for the simplysupp orted orthotropic square plate with a square hole. The efficiency and accuracyof the numerical solutions bythe present method are investigated.
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