【作者】 宋国书；

【导师】 杜庆华；

【作者基本信息】 清华大学 ， 固体力学， 1989， 博士

【摘要】 本论文完成了一种运用边界元法对弹性结构进行优化设计的计算机分析及显示系统。文中论述了平面问题、平板弯曲问题的边界元法及其优化设计。对于平面问题,可精确考虑重力、惯性力等体积力情况;对于平板弯曲问题,采用三方程协调方案,并精确计算分布荷载的域内积分。研制了相应的计算机应用软件系统,其中包括:平面问题边界元分析模块、平板弯曲问题边界元分析模块、优化模块及彩色绘图模块。文中给出了多个平面问题及平板问题的边界元分析算例。完成了内燃机连杆、泥浆泵连杆及板结构的优化设计工程算例。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。更多还原

【Abstract】 The Doctor dissertation presents a BEM computer software system for the optimization and display. In the thesis the boundary element method for planar elasticity and plate bending problems are introduced, the thesis includes the optimization design for these two kinds of problems. For planar problem the body forces, such as gravitional loads and rotational inertia loads can be computed with very high accuracy. For plate bending problem the three-equation BEM scheme is used, which had been proposed in some earlier work by the outhor of this thesis;the domain integral is done by analytic integration. The corresponding computer software system bas been developed, including the BEM analysis modules of planar problem and plate bending problem, the optimization module and the color plotting module. The thesis presents the mathematical formulations together with many numerical examples. Then some engineering problems by BEM have been performed. They are the optimization of the connecting rods of some internal combustion engines and mud pumps, and some supported plate structures. From the results of computation, it can be concluded that the proposed schemes will be efficient and the system is significant for engineering applications.更多还原