Due to larger dispersity of mechanical performance and lower machining precision of composite materials, thin-walled composite energy-absorbing structures have uncertainties hard to ignore. Here, an optimization design method for thin walled composite energy-absorbing structures with parametric uncertainty was established to identify parametric uncertainty in design stage and design thin walled composite structures with the optimal energy absorption feature. Firstly, parametric ranges were acquired according to using conditions, and the central combined test design was used to determine the test matrix of designed parameters, calculate the mean value and standard deviation of each group of designed parameters’ energy absorption characteristic index in the test matrix, and determine response surface equations between different design parametric groups and mean values, standard deviations of their energy absorption indexes, respectively. Finally, the sequence quadratic programming algorithm was adopted to get an optimization solution after substituting response surface equations and design requirements into the optimized mathematical expression. A T700/3234 composite thin-walled circular tube was taken as a study object. Within the specified ranges of feature sizes, under the specified peak load, the maximum ratio energy-absorbing problem and the ratio energy-absorbing’s minimum standard deviation problem were solved, respectively to verify the applicability of the proposed method.
Key words
thin-walled energy-absorbing composite structure /
uncertainty /
energy-absorbing characteristics /
programming algorithm /
optimization design
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
References
[1] 张弘, 魏榕祥. 通用飞机抗坠撞设计指南 [M]. 北京: 航空工业出版社, 2009.
[2] Fasanella E L. Multi-terrain impact testing and simulation of a composite energy absorbing fuselage section [R]. American Helicopter Society 60th Annual Forum. Baltimore: MD, 2004.
[3] A.G. Mamalis. Crashworthy characteristics of axially statically compressed thin-walled square CFRP composite tubes: experimental [J]. Composite Structures, 2004, 63:347-360.
[4] 卢子兴，王晓英，俸翔. 复合材料层合板临界屈曲载荷分散性[J]. 复合材料学报, 2013, 30(1): 194-200.
LU Zi-xing, WANG Xiao-ying, FENG Xiang. Critiaclbucking load discrepancy of composite laminates [J]. Acta Material Composite Sinica, 2013, 30(1): 194-200.（in Chinese）
[5] S. Salehghaffari, M. Rais-Rohani. Evidence-based design optimization of energy absorbing components under material field uncertainty [A].53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference[C]. 2012, Honolulu, Hawaii.
[6] Jiancheng Huang, Xinwei Wang. Numerical and experimental investigations on the axial crushing response of composite tubes[J]. Composite Structures, 2009, 91: 222-228.
[7] M.W. Joosten, S. Dutton, D. Kelly, et al.. Experimental and numerical investigation of the crushing response of an open section composite energy absorbing element[J]. Composite Structures, 2011,93:682-689.
[8] Mamalis A G, Manolakos D E, Viegelahn G L. Crashworthy behaviour of thin-walled tubes of fibre glass composite materials subjected to axial loading[J]. Journal of Composite Materials, 1990, 24(1): 72-91.
[9] 梁震涛, 陈建军, 增青. 不确定结构动力区间分析方法研究[J]. 应用力学学报, 2008,25(1):46-50.
LIANG Zhen-tao, CHEN Jian-jun, ZHU Zeng-qing. Dynamic interval analysis for uncertain structures. [J]. Chinese Journal of Applied Mechanics, 2008,25(1):46-50. （in Chinese）
[10] 吴贵生. 试验设计与数据处理 [M]. 北京. 冶金工艺出版社,1997.1.
[11] 姜琬, 金海波, 孙卫平. 基于多级响应面法的翼梢小翼气
动优化设计[J]. 航空学报, 2010, 31(9): 1746-1751.
JIANG Wan, JIN Hai-bo, SUN Wei-ping. Aerodynamic optimization for winglets based on multilevel response surface method[J]. Acta Aeronautica et Astrinautica Sinica, 2010, 31(9): 1746-1751.（in Chinese）
[12] 解江, 冯振宇, 赵彦强, 等. 含随机不确定参数复合材料薄壁结构吸能特性评估方法研究 [J]. 振动与冲击, 2015, 34(22): 109-114.
XIE Jiang, FENG Zhen-yu, ZHAO Yan-qiang, et al. Evaluation method based on probability for energy-absorbing composite structures with uncertain parameters [J]. Journal of Vibration and Shock, 2015, 34(22): 109-114.（in Chinese）
[13] 王青春, 范子杰. 利用Ls Dyna计算结构准静态压溃的改进方法[J]. 力学与实践, 2003, 25(3): 20-23.
WANG Qing-chun, FAN Zi-jie. improvement in analysis of quasi static collapase with Ls-Dyna [J]. Mechanica in Engineering, 2003, 25(3): 20-23.（in Chinese）
{{custom_fnGroup.title_en}}
Footnotes
{{custom_fn.content}}
PDF(2556 KB)
