| 基于混合行为博弈的多目标仿生设计方法 |
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| 引用本文： | 谢能刚,岑豫皖,孙林松,王璐.基于混合行为博弈的多目标仿生设计方法[J].力学学报,2008,40(2):229-237. |
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| 作者姓名： | 谢能刚 岑豫皖 孙林松 王璐 |
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| 作者单位： | 安徽工业大学机械工程学院 安徽工业大学机械学院 扬州大学水利科学与工程学院 安徽工业大学机械工程学院 |
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| 基金项目： | 教育部跨世纪优秀人才培养计划，教育部科学技术研究重点项目，安徽省自然科学基金，安徽高校省级自然科学重点项目 |
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| 摘 要： | 将多个设计目标视为不同的博弈方，通过计算设计变量对目标函数的影响因子和模糊聚类，
将设计变量集合分割为各博弈方拥有的策略空间. 对蜥蜴种群的繁衍生存机理进行仿生，将
3种蜥蜴的行为方式分别定义为利己主义、集体主义和投机主义，并赋予相应的博弈方，
各博弈方根据所仿生蜥蜴的行为特点，建立自身博弈得益函数与目标函数之间的映射关系.
各博弈方分别以自身博弈得益函数为目标，在各自的策略空间中进行单目标优化，获得本博
弈方对其余博弈方的最佳对策，所有博弈方的最佳对策形成一轮博弈的策略组合，并根据收
敛判别，通过多轮博弈，获得最终的博弈解. 以白鹤滩拱坝体型的三目标优化设计为例，设
计结果显示坝体体积方量减少了16.412万方，或2.38%; 最大主拉应力降低
了0.036MPa, 或0.31%; 整体应变能下降了0.167GJ 或4.47% 体现了基
于混合行为博弈方式的多目标仿生设计方法的有效性.
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| 关 键 词： | 多目标 博弈 蜥蜴仿生 拱坝 体型设计 |
| 文章编号： | 0459-1879（2008）02-0229-09 |
| 收稿时间： | 2007-04-10 |
| 修稿时间： | 2007-11-16 |
MULTI-OBJECTIVE BIONICS DESIGN METHOD BASED ON MIXED-BEHAVIOR GAME |
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| Xie Nenggang,Cen Yuwan,Sun Linsong,Wang Lu.MULTI-OBJECTIVE BIONICS DESIGN METHOD BASED ON MIXED-BEHAVIOR GAME[J].chinese journal of theoretical and applied mechanics,2008,40(2):229-237. |
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| Authors: | Xie Nenggang Cen Yuwan Sun Linsong Wang Lu |
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| Affiliation: | School of Mechanical Engineering Anhui University of Technology Maanshan 243002, China School of Mechanical Engineering Anhui University of Technology Maanshan 243002, China College of Hydraulic Science and Engineering Yangzhou University Yangzhou 225009, China School of Mechanical Engineering Anhui University of Technology Maanshan 243002, China |
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| Abstract: | Taking the design objectives as different game players
and calculating the factors of design variable to objective function and
fuzzy clustering the design variable set is divided into the strategic
space owned by each game player. According to the characteristics of three
kinds of lizard's behavior style they are defined as egoism collectivism
and opportunism and endowed with each game player. For the bionic research
on lizard's survival of multiply mechanism this paper takes three kinds of
lizard's behavior as game player and establishes the mapping relationship
between game players' payoff and objective functions. In their own strategic
space each game player takes their payoff as mono-objective for
optimization. It gives the best strategy upon other players. All the best
strategies are combined to be a game strategic set. With convergence and
multi-gaming the final game solution is obtained. Taking tri-objective
optimization of Baihetan arch dam shape design as example the results show
that the dam volume decreased by 16.412\times 10^4m3 which is
2.38%; and the maximum tensile principal stress decreased by 0.036MPa
which is 0.31%; the strain energy of dam decreased by 0.167GJ which is
4.47%; these prove that the method is effective. |
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| Keywords: | multi-objective game bionic of lizard arch dam shape design |
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