【摘要】 本文提出了一个用边界积分方程——边界元法解克希霍夫平板弯曲问题的协调方案.这个方案在边界上的协调程度与一般有限元法的协调板单元方案相当. 文中给出了边界积分方程的建立方法及有关公式,叙述了数值解的有关过程,对几种角度的悬臂三角板进行了计算.计算结果表明:此方案具有较高的精度,在达到同样精度的前提下可以降低计算成本,所以它对于改进与补充平板计算的数值方法是有益的.更多还原

【Abstract】 In this paper the kirchhoff plate bending problems have been solved by Boundary Element Method. A boundary compatible scheme has been suggested, which seems in good agreement with that of compatible finite element for plate bending.The paper presents the derivation of basic equations of boundary element method for plate bending problems, and also gives the processes for the numerical calcalation. The specific examples(including three cantilever triangle plates) have been worked out. The preliminary results of compulations have been compared with other known results. From these results it can be concluded that the proposed method promising in improving the efficiency and accuracy for plate bending computations.更多还原