| 引用本文: | 彭科,胡凡,张为华,等.序列近似优化方法及其在火箭外形快速设计中的应用.[J].国防科技大学学报,2016,38(1):129-136.[点击复制] |
| PENG Ke,HU Fan,ZHANG Weihua,et al.Sequential approximate optimization method and its application in rapid design of rocket shape[J].Journal of National University of Defense Technology,2016,38(1):129-136[点击复制] |
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| 序列近似优化方法及其在火箭外形快速设计中的应用 |
| 彭科, 胡凡, 张为华, 武泽平 |
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(国防科技大学 航天科学与工程学院, 湖南 长沙 410073)
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| 摘要: |
| 针对序列近似优化方法在代理模型构造与采样策略等方面的不足，基于采样点局部密度，引入与局部密度成反比的样本点影响体积概念，通过优化总影响体积确定径向基函数最优核宽度，满足序列近似优化过程不同规模、非均匀样本条件下的函数近似需要；建立潜在可行域最大距离加点准则，并与潜在最优加点准则结合平衡算法的探索能力与开发能力；建立三步收敛判定准则；构建改进序列近似优化的算法流程。对于Golinski减速器的优化设计问题，算法在目标函数调用42次后便搜索到全局最优解，体现了其良好的全局寻优能力与搜索效率。以“天航二号”火箭为例，建立其外形优化问题数学模型，所提优化方法在调用原始计算模型165次之后便搜索到全局最优解，大大提高了设计效率，同时飞行试验也表明设计结果满足要求。 |
| 关键词: 序列近似优化 代理模型 采样策略 局部密度 收敛判定准则 “天航二号”火箭 外形优化 |
| DOI：10.11887/j.cn.201601021 |
| 投稿日期：2015-02-03 |
| 基金项目:国家自然科学基金资助项目（51105368） |
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| Sequential approximate optimization method and its application in rapid design of rocket shape |
| PENG Ke, HU Fan, ZHANG Weihua, WU Zeping |
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(College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China)
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| Abstract: |
| Sequential approximate optimization method has shortcomings in several respects, such as surrogate model establishing and infill strategy at present. Basing on local density of sampling points, the influence volume concept which is inversely proportional to local density was introduced and then the optimal kernel width of radial basis function was obtained by means of total influence volume optimization, thus, the function approximation needs in sequential approximate optimization process under the conditions of different scales and heterogeneous samples were satisfied. Potential feasible region infill strategy was proposed and potential optimal strategy was applied together, both exploration and exploitation capacity of the algorithm were satisfied. Three-step convergence criterion was set up. The algorithm flow process of sequential approximate optimization was constructed. For Golinski reducer optimization problem,the global optimal solution was solved after calculating original model 42 times, which embodied the good global optimization capacity and searching efficiency of the algorithm. Shape optimization mathematical model was established for TH-II rocket, global optimal shape was gained after 165 times of original model calling using the proposed method. The design efficiency was increased greatly and TH-II rocket aerodynamic shape was proved reliable by flight testing. |
| Keywords: sequential approximate optimization surrogate model infill strategy local density convergence criterion TH-II rocket shape optimization |
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