UUV非耐压承载结构多目标拓扑优化研究
A Method of Multi-objective Topology Optimization of UUV Non-pressure-bearing Structure

鉴于非耐压承载结构对于UUV（Unmanned underwater vehicle）的重要意义，提出一种基于折衷规划法建立综合目标函数，以灰色-层次分析确定子目标权重系数的多目标优化方法。以某型UUV的非耐压承载结构为例，首先采用灰色-层次分析法，得到各子目标（典型工况的柔度和前3阶固有频率的平均值）的权重系数；然后，采用折衷规划法进行多目标拓扑优化设计。优化结果表明：该方法适用于UUV非耐压承载结构的初始设计，可行且有效。同时，对比层次分析法和灰色关联分析法，该方法计算效率更高，优化结果更加合理。
Considering the importance of a non-pressure-bearing structure to UUV, its multi-objective topology is optimized by using the compromise programming method so as to establish a comprehensive objective function. The grey-analytic hierarchy process is used to determine the weight factors of sub-objectives. Taking the non-pressure-bearing structure of UUV for example, firstly, the weight factors of sub-objectives (flexibility of typical operating conditions and average values of natural frequency of the first three orders) were obtained with the grey-analytic hierarchy process according to optimization results. Then, the multi-objective topology optimization was designed with the compromise programming method. The optimization results show that the method presented in this paper is feasible and effective for the initial design of the UUV non-pressure-bearing structure. At the same time, the grey-analytic hierarchy process is more efficient and more reasonable than analytic hierarchy process and grey relational analysis