中文摘要：

以型值点坐标、拱端厚度和半中心角为体形参数构造三次样条线型拱圈，给出了三次样条线型拱坝体形优化设计模型．采用加速微种群遗传算法求解拱坝优化设计问题，对约束条件根据复杂程度采用不同的处理方法，即相对比较简单的几何约束采用直接检验法，对较复杂的性态约束采用罚函数法处理．以某拟建拱坝的安全性优化设计为例进行了计算，结果表明优化设计的坝体最大主拉应力比初始设计减小了42％，显示了加速微种群遗传算法的有效性与可行性．

英文摘要：

The coordination of nodes, the thickness at arch end and the semi-center angle were taken as the shape parameters for the establishment of a cubic spline arch, and an optimization model was established for the shape design of arch dams by use of the cubic spline arch. An accelerated micro-genetic algorithm was proposed for the numerical solution of the optimization of arch dams. For various constraints, different methods were employed according to their complexity, i.e., the geometrical constraints were treated by the checking-reject method, and the performance constraints were treated by the penalty function method. The optimization of an arch dam was taken as an example with the objective to minimize the maximum tensile principal stress. The results show that the maximum tensile principal stress is decreased by 42%, indicating the effectiveness and the feasibility of the accelerated micro-genetic algorithm for the shape optimization of arch dams.