Прусаков型夹层板的边界单元法

来源期刊：中南大学学报(自然科学版)1993年第2期

论文作者：陈广霞 左铁镛 肖景容

文章页码：221 - 226

关键词：夹层板; 基本解; 边界元法

Key words：the sandwich plates; the fundamental solutions; the boundary element method

摘    要：根据偏微分算子理论导得了考虑夹心横向弹性的Прусаков型板的基本解。以本文所导出的基本解作为核函数,建立了考虑夹心横向弹性的夹层板的边界积分方程组,并用边界单元法离散求解,得到了满意的数值解。

Abstract: In this paper,the direct boundary element approximation of the Прусаков′s sandwichplates is presented.By using the Hormander′s operator method,the fundamental solutions ofthe 8 order partial differential equations have been derived in detail.According to the weight-ed residual theory,the boundry integal eqations of the problems discussed by us have been analyzed with boundary element method,and the results of computations have been com-pared with other known results,from which it can be conducted that the proposed method ischaraterized by its higher accuracy.