Spline選点最小二乗法を用いた厚板の振動解析

Abstract

This paper presents vibration analysis of thick plates on the basis of the Mindlin plate theory and the theory of elasticity by using the spline collocation least square method which is an alternative free mesh method. No numerical integration is required in the formulation and the resulting matrix has the advantage of always being symmetrical To demonstrate an accuracy and convergence of the present numerical method, some numerical examples are solved and the results are compared with those obtained by analytical method and other numerical methods. It is seen that good accuracy and stable convergence are obtained.