中文摘要：

为了给出自由曲面索承网格结构的合理布索位置,首先,将上部网格结构作为连续体,基于鲁棒性定量评价指标,采用改进的大爆炸算法,进行拓扑优化,获得自由曲面的鲁棒构型;其次,利用Hough变换对鲁棒构型进行检测,在布索数量确定后,提取决定布索曲线方向的参数;最后,对布索曲线上的全部节点进行试算,优化出布索曲线端点。算例表明,该方法可为复杂自由曲面索承网格结构优化出基于力学原理的合理布索方案,同时,通过与直观布索方案的对比,证明了本文求得的布索方案具有更好的力学性能,可为实际工程应用提供参考。

英文摘要：

This article gives the rational cable location of the free form surface lattice structure as follows. First of all,the robust configuration of the free form surface whose upper lattice structure was treated as a continuum was got by topology optimization which applied robust quantitative evaluation index and the improved Big Bang-Big Crunch method. Then, the directions~ parameters of the cable location curves whose number was already given were extracted by detecting the robust configuration applying Hough transformation. Finally,the optimum endpoints of the cable location curves were got by calculating all nodes on the cable location curves. Examples show that, for complex free form surfaces, this method can offer rational cable locations based on the mechanical principle. Comparison with the intuitive cable arrangement shows that the cable arrangement got in this article has better mechanical properties, thus it can provide guidance for practical engineering applications.