【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。更多还原

【Abstract】 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.更多还原