空间桩基的拓扑优化

Topological Optimization of the Space Pile Foundation

空间桩基优化是一个设计变量多、工况多、约束条件多且包括截面、几何、拓扑及离散变量的优化问题．桩数整型离散变量及其拓扑优化使得问题更复杂．本文采用桩数变化系数变量技术后，建立了桩基优化显函数式的优化数学模型，采用分级优化求解，结合专家工程库进行拓扑优化，在现场的应用说明这个方法是有效的算法，并取得了满意的结果．

The optimization of the space pile foundation is a very difficult problem that consists of multiple variables,multiple cases and multiple constraint conditions,including cross-section, geometry,topology optimization and variable discretization. Pile number integer discrete variable and its topology optimization make this problem more complicated.The authors of this paper adopt the technology of pile number variable factor variable and succeed in building up the mathematic optimization model whose functions are explicit and solve this problem by using a multiple-level algorithem, and accomplish topology optimization by connecting with Expert Engineering Library. The examples of application in situ which give satisfactory solution show the promising performance of this method.