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本文研究固定纤维指向、对称分布复合材料层板在各种载荷作用下,分别及同时承受强度约束、位移约束时的优化设计方法,给出各分层的最有利厚度。对强度约束,尽量使各分层都临界地满足强度准则;对位移约束,采用基于 Kuhn-Tucker条件的优化准则法,从而导出改进设计变量,使各分层达到最有利厚度的迭代式。通过算例表明本方法具有较高的效率,结构重量稳定下降,一般经过4～6次迭代即可达到最优设计。
In this paper, the optimal design method for fixed fiber-orientation and symmetrically distributed composite laminates under different loads, respectively and simultaneously subjected to strength constraints and displacement constraints, is studied, and the most favorable thickness of each layer is given. For strength constraints, try to make each layer meet the strength criterion critically. For the displacement constraint, the Kuhn-Tucker condition-based optimization criterion method is used to derive improved design variables so that each layer reaches the iterative type of the most favorable thickness. The example shows that the method has higher efficiency and the weight of the structure decreases steadily. Generally, after 4 to 6 iterations, the optimal design can be achieved.