| 霍同如,杜庆华,姚振汉.若干综合应用递归二次规划法和边界元法的平面弹性结构形状优化问题[J].计算力学学报,1991,8(4): |
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| 若干综合应用递归二次规划法和边界元法的平面弹性结构形状优化问题 |
| Some Shape Optimal Designs of Elastic Structures by Combination Usage of Boundary Element Method and Recursive Quadratic Programming |
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| DOI：10.7511/jslx19914060 |
| 中文关键词: 递归二次规划法,边界元法,形状优化 |
| 英文关键词:recursive quadratic programming,boundary clement method,shape optimal design, |
| 基金项目: |
| 霍同如 杜庆华 姚振汉 |
清华大学工程力学系
(霍同如，杜庆华)
，清华大学工程力学系(姚振汉)
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| 中文摘要: |
| 结构的边界表示为若干设计变量的函数,结构形状优化问题表示为数学规划问题。本文采用递归二次规划法求解数学规划问题,采用边界元法做结构分析,求解了受拉多边形板、受弯悬臂梁和空腹重力坝的形状优化问题。结果表明本文的求解方案非常有效。 |
| 英文摘要: |
| The structural boundary is represented by a function cf a series of design variables. Then the structural shape optimal design can be represented as a problem of mathematical programming. Three computational examples of shape optimal designs are solved.The three examples are a polygon plate in tension, a bending cantilever and a hollow gravity dam under hydrostatic and gravitational lead. In the computations, recursive quadratic programming is used for mathematical programming and boundary element method is used for structure analysis. The results have proved to be satisfactory. |
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