中文摘要：

采用一种无梯度仿生技术--基于等限制Tsai-Hill值准则的固定网格渐进优化方法（FG ESO）,研究了叠层复合材料方板在拉剪荷载时不同孔数、不同叠层构造条件下的最优孔形问题.在孔的周围不断把限制Tsai-Hill值小于删除标准的材料删除,直到稳定状态达到,然后提高删除标准继续迭代,直到达到指定的开孔面积.与传统渐进优化方法（ESO）的不同之处在于利用节点而不是单元的限制Tsai-Hill值来确定需要删除的材料,因此得到了比ESO更光滑的结果.例子证明了方法的普适性和有效性.还研究了两孔方板最优孔形的优化历程,结果反映了相邻开孔相互影响的一些规律.

英文摘要：

Optimal shape of multiple cutouts in square laminated composites panels with different lay-up configurations was sought for biaxial-shear stress loads using a non-gradient biomimetic technique named fixed mesh evolutionary structural optimization （FG ESO）, which could achieve the most uniform Tsai-Hill factor. Material around cutouts where limited Tsai-Hill number is below rejection criterion was removed. This process was iterated until a steady state was reached, then rejection criterion was incremented and the iteration was continued until a predefined cutout area was achieved. In FG ESO, the node limited Tsai-Hill number determines the material needed to be removed rather than those of elements in conventional ESO, so the result boundaries are smoother than those designed by conventional ESO. The examples demonstrated the generality and robustness of this optimization procedure. The process of shape optimization of two adjacent cutouts in composites was investigated, and the results show some common rules of how the two cutouts affect each other.