基于网格变形技术的机枪三脚架多目标响应面优化

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (16) : 141-146.

论文

华洪良，廖振强，邱明，宋杰，李佳圣

作者信息 +

Multi-objective optimization combining response surface model of machine gun tripod based on mesh morphing technology

HUA Hong-liang，LIAO Zhen-qiang，QIU Ming，Song Jie，LI Jia-sheng

Author information +

文章历史 +

摘要

针对使用过程中枪架弹性变形过大影响射击精度问题，提出网格变形、Plackett-Burman试验设计、多目标优化相结合提高枪架刚度的解决方案。利用网格变形技术定义形状变量，据Plackett-Burman试验设计筛选对目标函数显著度高的形状变量；采用优化拉丁方试验设计对整个设计空间均匀采样，据样本点拟合高精度Kriging响应面模型；以三脚架质量为约束，轴向、横向弯曲刚度为目标函数，用多目标遗传优化算法(MOGA)对响应面模型进行寻优。研究表明，该方法能同时提高三脚架轴向、横向刚度，可据Pareto最优解集合权衡各目标进行决策。

Abstract

Tripod is an important part of the machine gun. Elastic deformation of the tripod when firing has been identified as a major cause of influencing machine gun firing accuracy. In view of the problem, a method integrates mesh morphing technology, Plackett-Burman design and multi-objective optimization is proposed to improve the tripod stiffness. Mesh morphing technology is employed to define the shape variables. A Plackett-Burman design is utilized to determine the significant variables affecting the Objectives. An optimal Latin hypercube sampling is utilized to generated uniformly distributed sample points for fitting the Kriging Response Surface Models with high accuracies. Further more, these response surface models are optimized by using the multi-objective genetic algorithm(MOGA) where the mass is defined as constraint function and the axial bending stiffness and lateral bending stiffness are defined as objective functions, and the Pareto optimal solution set is finally obtained. The conclusion can be drawn that the proposed methodology can improve the axial bending stiffness and lateral bending stiffness at the same time, and engineers can handle the trade-off between the objectives for guiding the decision-making.

导出引用

华洪良，廖振强，邱明，宋杰，李佳圣. 基于网格变形技术的机枪三脚架多目标响应面优化[J]. 振动与冲击, 2015, 34(16): 141-146

HUA Hong-liang，LIAO Zhen-qiang，QIU Ming，Song Jie，LI Jia-sheng. Multi-objective optimization combining response surface model of machine gun tripod based on mesh morphing technology[J]. Journal of Vibration and Shock, 2015, 34(16): 141-146

参考文献

[1] 王瑞林. 大口径机枪动力学特性与射击精度研究[D]. 南京：南京理工大学, 2003.
[2] 单永海,田鸿源,廖振强,等. 轻武器射击精度及其表征方法研究[J]. 南京理工大学学报:自然科学版,2013,37(1): 112-116.
SHAN Yong-hai, TIAN Hong-yuan, LIAO Zhen-qiang, et al. Small arms' firing precision and its characterization method[J]. Journal of Nanjing University of Science and Technology, 2013, 37(1): 112-116.
[3] 陈锦喜,王瑞林,吴海锋,等.新型机枪枪架及其动态特性分析[J]. 振动与冲击, 2012, 31(8): 121-123.
CHEN Jin-xi, WANG Rui-lin, WU Hai-feng, et al. Dynamic characteristics analysis for a new type gun tripod[J]. Journal of Vibration and Shock, 2012, 31(8): 121-123.
[4] 韩小平,赵富全,杨明华,等. 基于浮动技术的新型枪架设计[J]. 兵工自动化, 2011, 30(8): 7-9.
HAN Xiao-ping, ZHAO Fu-quan, YANG Ming-hua, et al. A new type design of machine gun mount based on floating technology[J]. Ordnance Industry Automation,2011,30(8): 7-9.
[5] BARR A H. Global and local deformation of solid primitives[J]. Computer Graphics, 1984, 18(3): 21-30.
[6] 董洪伟. 基于网格变形的从图像重建三维人脸[J]. 计算机辅助设计与图形学学报, 2012, 24(7): 932-940.
DONG Hong-wei. Mesh deformation based 3d facial modeling from images[J]. Journal of Computer-Aided Design & Computer Graphics, 2012, 24(7): 932-940.
[7] 方剑光,高云凯,王婧人,等. 基于网格变形技术的白车身多目标形状优化[J]. 机械工程学报, 2012, 48(24): 119-126.
FANG Jian-guang, GAO Yun-kai, WANG Jing-ren, et al. Multi-objective shape optimization of body-in-white based on mesh morphing technology[J]. Journal of Mechanical Engineering, 2012, 48(24): 119-126.
[8] 闵新勇,董湘怀,邬旭辉,等. 基于网格变形法的风机翼型气动性能优化[J]. 太阳能学报, 2011, 32(9): 1303-1308.
MIN Xin-yong, DONG Xiang-huai, WU Xu-hui, et al. Aerodynamic optimization of a wind turbine airfoil by mesh morphing technique[J]. Acta Energiae Solaris Sinica, 2011, 32(9): 1303-1308.
[9] 李立州,王婧超,韩永志,等. 基于网格变形技术的涡轮叶片变形传递[J]. 航空动力学报, 2007, 22(12): 2101-2104.
LI Li-zhou, WANG Jing-chao, HAN Yong-zhi, et al. Displacement transfer with the mesh deformation method in multidisciplinary optimization of turbine blades[J]. Journal of Aerospace Power, 2007, 22(12): 2101-2104.
[10] 熊珍兵,罗会信.基于HyperMesh的有限元前处理技术[J].排灌机械, 2006, 24(3): 35-38.
XIONG Zhen-bing, LUO Hui-xin. Preprocessing technology of FEA based on HyperMesh software[J]. Drainage and Irrigation Machinery, 2006, 24(3): 35-38.
[11] Jung S P, Park T W, Jun K J, et al. A study on the optimization method for a multi-body system using the response surface analysis[J]. Journal of Mechanical Science and Technology, 2009, 23(4): 950-953.
[12] Wang G G. Adaptive response surface method using inherited latin hypercube design points[J]. Journal of Mechanical Design, 2003, 125(2): 210-220.
[13] Ryu S P, Park J Y, Han S Y, et al. Optimum design of an active micro-mixer using successive kriging method[J]. International Journal of Precision Engineering and Manufacturing, 2011, 12(5): 849-855.
[14] Cressi N. Geostatistics[J]. The American Statistican, 1989, 43(4): 197-202.
[15] 谢涛,陈火旺,康立山,等. 多目标优化的演化算法[J]. 计算机学报, 2003, 26(8): 997-1003.
XIE Tao, CHEN Huo-wang, KANG Li-shan, et al. Evolutionary algorithms of multi-objective optimization problems[J]. Chinese Journal of Computers, 2003, 26(8): 997 -1003.