Differentia Quadrature法を用いた長方形mindlin板の振動解析

抄録

The differential quadrature method (DQM) is a numerical method which has been successfully employed in a variety of problems in engineering and physical sciences. The DQM is accomplished by expressing at each grid point, the calculus operator value of a function at any discrete point as theweighted linear sum of the values of the function at all the discrete points. This paper presents an application of the semi-analytical DQM to analyze vibration of rectangular Mindlin plates with two opposite edges simply supported. The convergence and accuracy of the present method are demonstrated to be compared with those obtained by other numerical methods. The effects of simple supported models on the frequenciesof rectangular Mindlin plates are analyzed for the different aspect ratios and ratios of width to thickness.