薄板结构的边界元优化设计

完成了一种用边界元法对弹性薄板结构进行优化设计的计算机分析及彩色绘图系统.本文论述了平板弯曲问题的边界元法及其优化设计.系统采用本文作者提出的三方程协调方案,并精确计算分布荷载的域内积分.本文完成了多个平板弯曲问题的边界元分析算例及板结构边界元优化设计的工程算例.结果表明,本系统方法先进、结果精确可靠,具有十分明显的工程实用价值.

Optimization for Elastic Thin Plate Structures by Boundary Element Method

This paper presents a BEM computer software system for the optimization and color-plotting on elastic sturctures of thin plate. The BEM and optimization for plate bending problems are formulated. The three-equation scheme of BEM has been used, which has been proposed by the authors of this paper. The domain integral has been done by analytic integration. Some enginering problems for the optimization of plate structure shape and location of supporting point have been performed by using BEM. From the results of computation,it can be concluded that the proposed scheme will be useful and the system is significant for engineering considerations.