UUV非耐压承载结构多目标拓扑优化研究
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摘要
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-pressurebearing 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.
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-pressurebearing 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.
引文
[1]钱东,赵江,杨芸.军用UUV发展方向与趋势(下)-美军用无人系统发展规划分析解读[J].水下无人系统学报,2017,25(3):107-150Qian D,Zhao J,Yang Y. Development trend of military UUV(Ⅱ):a review of U. S. military unmanned system development plan[J]. Journal of Unmanned Undersea Systems,2017,25(3):107-150(in Chinese)
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[8]罗震.基于变密度法的连续体结构拓扑优化设计技术研究[D].武汉:华中科技大学,2005Luo Z. Research on topology optimization of continuum structure based on variable density method[D]. Wuhan:Huazhong University of Science and Technology,2005(in Chinese)
[9] Luo Z,Chen L P,Yang J Z,et al. Fuzzy tolerance multilevel approach for structural topology optimization[J].Computers&Structures,2006,84(3-4):127-140
[10]臧晓蕾,谷正气,米承继,等.矿用车车架结构的静动态多目标拓扑优化[J].汽车工程,2015,37(5):566-570,592Zang X L,Gu Z M,Mi C J,et al. Static/dynamic multi-objective topology optimization of the frame structure in a mining truck[J]. Automotive Engineering,2015,37(5):566-570,592(in Chinese)
[11]祝小元,方宗德,申闪闪,等.汽车悬架控制臂的多目标拓扑优化[J].汽车工程,2011,33(2):138-141Zhu X Y,Fang Z D,Shen S S,et al. Multi-objective topology optimization for the control arm of vehicle suspension[J]. Automotive Engineering,2011,33(2):138-141(in Chinese)
[12]陈义保,姚建初,钟毅芳.基于灰色系统理论的多目标优化的一种策略[J].机械工程学报,2003,39(1):101-106Chen Y B,Yao J C,Zhong Y F. Grey difference based multi-objective optimization strategy[J]. Chinese Journal of Mechanical Engineering,2003,39(1):101-106(in Chinese)
[13]康元春,李辉,高赞.悬架控制臂多目标拓扑优化[J].解放军理工大学学报(自然科学版),2014,15(6):571-575Kang Y C, Li H, Gao Z. Multi-objective topology optimization of suspension control arm[J]. Journal of PLA University of Science and Technology(Natural Science Edition),2014,15(6):571-575(in Chinese)
[14] Min S,Nishiwaki S,Kikuchi N. Unified topology design of static and vibrating structures using multiobjective optimization[J]. Computers&Structures, 2000,75(1):93-116
[15] Subramanian N,Ramanathan R. A review of applications of analytic hierarchy process in operations management[J].International Journal of Production Economics,2012,138(2):215-241
[2]郑磊.水下机器人的发展及应用之研究[J].国防科技,2013,(34):44-48Zheng L. The Improvements and trends of the unmanned underwater vehicles[J]. National Defense Science&Technology,2013,(34):44-48(in Chinese)
[3]何雪縥,刘新猛,郭珍珍,等.基于正交试验的潜水器耐压壳体的结构优化设计[J].机械科学与技术,2015,34(1):8-12He X H, Liu X M, Guo Z Z, et al. Structural optimization design of underwater vehicle shell based on orthogonal experiment[J]. Mechanical Science and Technology for Aerospace Engineering,2015,34(1):8-12(in Chinese)
[4]杨岳,何雪縥,谷海涛,等.水下机器人耐压壳体结构优化[J].机械科学与技术,2016,35(4):614-619Yang Y,He X H,Gu H T,et al. Structure optimization of underwater robot pressure hull[J]. Mechanical Science and Technology for Aerospace Engineering,2016,35(4):614-619(in Chinese)
[5]宋保维,朱崎峰,王鹏.基于组合优化方法的UUV耐压壳体优化设计研究[J].机械科学与技术,2010,29(5):561-565Song B W,Zhu Q F,Wang P. Optimization design for unmaned underwater vechile(UUV)shell based on combinatorial optimization methods[J]. Mechanical Science and Technology for Aerospace Engineering,2010,29(5):561-565(in Chinese)
[6]董华超,宋保维,王鹏.水下航行器壳体结构多目标优化设计研究[J].兵工学报,2014,35(3):392-397Dong H C,Song B W,Wang P. Multi-objective optimal design of automatic underwater vehicle shell structure[J].Acta Armamentarii,2014,35(3):392-397(in Chinese)
[7]苗怡然,高良田,梁旭,等.水下航行器耐压壳体参数化设计优化[J].大连海事大学学报,2017,43(2):33-38Miao Y R, Gao L T, Liang X, et al. Parametric optimization design of pressure hull for automatic underwater vehicle[J]. Journal of Dalian Maritime University,2017,43(2):33-38(in Chinese)
[8]罗震.基于变密度法的连续体结构拓扑优化设计技术研究[D].武汉:华中科技大学,2005Luo Z. Research on topology optimization of continuum structure based on variable density method[D]. Wuhan:Huazhong University of Science and Technology,2005(in Chinese)
[9] Luo Z,Chen L P,Yang J Z,et al. Fuzzy tolerance multilevel approach for structural topology optimization[J].Computers&Structures,2006,84(3-4):127-140
[10]臧晓蕾,谷正气,米承继,等.矿用车车架结构的静动态多目标拓扑优化[J].汽车工程,2015,37(5):566-570,592Zang X L,Gu Z M,Mi C J,et al. Static/dynamic multi-objective topology optimization of the frame structure in a mining truck[J]. Automotive Engineering,2015,37(5):566-570,592(in Chinese)
[11]祝小元,方宗德,申闪闪,等.汽车悬架控制臂的多目标拓扑优化[J].汽车工程,2011,33(2):138-141Zhu X Y,Fang Z D,Shen S S,et al. Multi-objective topology optimization for the control arm of vehicle suspension[J]. Automotive Engineering,2011,33(2):138-141(in Chinese)
[12]陈义保,姚建初,钟毅芳.基于灰色系统理论的多目标优化的一种策略[J].机械工程学报,2003,39(1):101-106Chen Y B,Yao J C,Zhong Y F. Grey difference based multi-objective optimization strategy[J]. Chinese Journal of Mechanical Engineering,2003,39(1):101-106(in Chinese)
[13]康元春,李辉,高赞.悬架控制臂多目标拓扑优化[J].解放军理工大学学报(自然科学版),2014,15(6):571-575Kang Y C, Li H, Gao Z. Multi-objective topology optimization of suspension control arm[J]. Journal of PLA University of Science and Technology(Natural Science Edition),2014,15(6):571-575(in Chinese)
[14] Min S,Nishiwaki S,Kikuchi N. Unified topology design of static and vibrating structures using multiobjective optimization[J]. Computers&Structures, 2000,75(1):93-116
[15] Subramanian N,Ramanathan R. A review of applications of analytic hierarchy process in operations management[J].International Journal of Production Economics,2012,138(2):215-241