Application of the Modified Response Surface Method to Reliability Optimization Design of Gun Barrel
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摘要: 以某速射武器的身管为研究对象,对其烧蚀寿命进行可靠性优化设计,采用改进的响应面模型作为身管烧蚀寿命代理模型。结合遗传算法和高斯牛顿法进行响应面公式参数的拟合。首先用遗传算法求出参数初值,然后高斯牛顿法从这组初值出发迭代搜索响应面模型参数的最优解,最后以得到的响应面模型作为身管烧蚀寿命优化的功能函数进行可靠性优化。该方法充分利用了遗传算法善于进行全局搜索和高斯牛顿法精确的局部寻优能力的优点。结果表明,该方法得出的响应面模型的精度较高,以响应面模型代替有限元模型进行可靠性优化更为方便快捷。Abstract: For a certain kind of gun barrel, a modified response surface method to study the reliability optimization design is proposed. To combine Genetic algorithm (GA) and Gauss-Newton method (GNM) is used to acquire the optimal solutions of the model parameters. Firstly, GA is used to solve the initial values of the model parameters. Secondly, GNM is used to get the optimal solution according to the initial values. At last, the reliability optimization design with the agent model can be done. GA is an effective in global solution space searching, while GNM is an effective in local searching. The simulation result shows that the combination of GA and GNM obtains a higher precision of ablation estimation and greatly improves the computational efficiency in the optimization of gun barrel ablation life as well.
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[1] 马洪波,陈建军,马孝松,等.基于体系可靠性的随机桁架结构优化设计[J].西安电子科技大学学报(自然科学版),2005,32(4):593-598 Ma H B, Chen J J, Ma X S, et al. Structural optimization design of random truss structures based on system reliability[J]. Journal of Xidian University, 2005,32(4):593-598(in Chinese) [2] Cheng G D, Xu L, Jiang L. A sequential approximate programming strategy for reliability-based structural optimization[J]. Computers & Structures, 2006,84(21):1353-1367 [3] Youn B D, Choi K K. A new response surface methodology for reliability-based design optimization[J]. Computers & Structures, 2004,82(2-3):241-256 [4] Lee I, Choi K K, Du L, et al. Dimension reduction method for reliability-based robust design optimization[J]. Computers & Structures, 2008,86(13-14):1550-1562 [5] Rackwitz R. Reliability analysis-a review and some perspectives[J]. Structural Safety, 2001,23(4):365-395 [6] Kim S H, Na S W. Response surface method using vector projected sampling points[J]. Structural Safety, 1997,19(1):3-19 [7] Zheng Y, Das P K. Improved response surface method and its application to stiffened plate reliability analysis[J]. Engineering Structures, 2000,22(5):544-551 [8] Guan X L, Melchers R E. Effect of response surface parameter variation on structural reliability estimates[J]. Structural Safety, 2001,23(4):429-444 [9] Faravelli L. Response-surface approach for reliability analysis[J]. Journal of Engineering Mechanics, 1989,115(12):2763-781 [10] Rajashekhar M R, Ellingwood B R. A new look at the response surface approach for reliability analysis[J]. Structural Safety, 1993,12(3):205-20 [11] 潘雷,谷良贤,阎代维.改进响应面法及其近似性能研究[J].宇航学报,2009,30(2):806-810 Pan L, Gu L X, Yan D W. Research on improved response surface method and its performance[J]. Journal of Astronautics, 2009,30(2):806-810(in Chinese) [12] Huang S P, Liang B, Phoon K K. Geotechnical probabilistic analysis by collocation-based stochastic response surface method:an excel add-in implementation[J]. Georisk, 2009,3(2):75-6 [13] 孙亮,李君利,程建平.一种基于遗传算法和高斯-牛顿法的合成算法在放射性药物生物动力学数据分析中的应用[J].核技术,2006,29(12):927-931 Sun L, Li J L, Cheng J P. Application of a mixed algorithm based on GA and Gauss-Newton algorithm in analysis of biokinetic data of radiopharmaceuticals[J]. Nuclear Techniques, 2006,29(12):927-931(in Chinese) [14] 段楠,薛会民,潘越.用蒙特卡洛法计算可靠度时模拟次数的选择[J].煤矿机械,2002,(3):13-14 Duan N, Xue H M, Pan Y. A method for determining the number realizations in the calculation of reliability by Monte Carlo simulation method[J]. Coal Mine Machinery, 2002,(3):13-14(in Chinese) [15] 侯健,韩育礼.火炮身管强度设计理论和安全系数的研究[J].弹道学报,2009,21(3):44-47 Hou J, Han Y L. Research of gun barrel strength design theory and safety coefficient[J]. Journal of Ballistics, 2009,21(3):44-47(in Chinese)
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