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

PDF(1519 KB)

振动与冲击 ›› 2015, Vol. 34 ›› Issue (22) : 109-114.

论文

解江冯振宇赵彦强牟浩蕾李翰

作者信息 +

Development of an Evaluation Method Base on the Probability for Energy-Absorbing Composite Structures with Uncertain Parameters

Xie Jiang Feng Zhenyu Zhao Yanqiang Mou Haolei Li Han

Author information +

文章历史 +

摘要

复合材料薄壁圆管是一种典型的吸能元件，由于复合材料力学性能分散度较大、加工精度较低，为复合材料薄壁吸能结构引入了难以忽略的不确定因素，为此，提出了一种含随机不确定参数复合材料薄壁结构吸能特性评估方法。考虑材料力学性能和结构特征尺寸的不确定性，评估了准静态压溃的条件下薄壁圆管的峰值载荷和比吸能这两个关键吸能指标。首先，根据试样级的材料性能实验确定各参数的分布特征；其次采用Plackett-Burman方法选取实验点，采用显式求解的有限元方法进行分析选出对比吸能和峰值载荷影响显著的参数；然后，建立影响显著参数和结构吸能特性指标间的二阶响应面函数；最后，根据参数的分布情况进行抽样计算得到吸能特性指标的分布情况。算例研究结果显示，对于本算例中的复合材料薄壁圆管而言，纤维方向拉伸强度、纤维方向压缩强度、圆管壁厚和基体压缩强度对其轴向压溃时的比吸能和峰值载荷影响显著。

Abstract

Due to the large deviation of material properties and inherent machining tolerance, uncertain factors should be considered for designing and evaluation composite Energy-Absorbing structures. An evaluation method for energy-absorbing characteristics of thin-walled composite structures with uncertain parameters was proposed and developed herein.Thin-walled composite tubes extensively applied on automobile and aircraft are typical crushable elements for absorbing collision energy. The uncertainties due to machining tolerance from thickness and inner diameter of a tube were considered in the present paper and represented by probability model. Triggering Specific Load(TSL) and Specific Energy Absorption (SEA) are concerned and calculated by Finite Element Analysis for indicating energy-absorbing characteristics of the specimen under quasi-static axial crushing. Plackett-Burman method was used to choose parameters. Response surface method was then used to build a second-order function between uncertain parameters and TSL/SEA. At last Monte Carlo was used to obtain the probability of TSL and SEA . The results showed that, XC、h and XT significantly affect the SEA, XC、h and YC significantly affect the TSL.

导出引用

解江冯振宇赵彦强牟浩蕾李翰. 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 Zhenyu Zhao Yanqiang Mou Haolei Li Han. Development of an Evaluation Method Base on the Probability for Energy-Absorbing Composite Structures with Uncertain Parameters[J]. Journal of Vibration and Shock, 2015, 34(22): 109-114

参考文献

[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. .
Zhang hong, Wei Rongxiang. General aircraft drop impact resistant design guide [M]. Beijing: Aviation industry publisher , 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] Xinran Xiao. Modeling energy absorption with a damage mechanics based composite material model [J].Journal of Composite Materials, 2009, 43: 427-244.
[5] 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. Critiacl bucking load discrepancy of composite laminates[J]. Acta materiae compositae sinica, 2013,30(1):194-200.
[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] 龚俊杰, 王鑫伟. 复合材料波纹梁吸能能力的数值模拟[J]. H航空学报, 2005, 26(3): 298-302.
Gong Jun-jie, Wang Xinwei. Numerical Simulation of Energy Absorption Capability of Composite Waved Beams[J]. Acta aeronautica et astronautica sinica, 2005,26(3):298-302.
[8] M.W. Joosten, S. Dutton, D. Kelly, et al.. Experimental and numerical investigation of the crushing responseof an open section composite energy absorbing element[J]. Composite Structures, 2011,93:682-689.
[9] 唐健, 吴志刚, 杨超. 考虑结构刚度不确定性的概率颤振分析[J]. 北京航空航天大学学报, 2014,40(4):569-574.
Tang Jian, Wu Zhigang, Yang Chao. Probabilistic flutter analysis with uncertainties in structural stiffness[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014,40(4):569-574.
[10]刘冬青，孙冰，张建伟. 固体推进剂药柱不确定结构分析及方法比较[J]. 航空动力学报, 2013,28(2):466-472.
Liu Dongqing, Sun Bing, Zhang Jianwei. Uncertain Structural Analysis of Solid Propellant Grain and Comparison of the Methods[J].Journal of Aerospace Power, 2013,28(2):466-472.
[11]张军红, 韩景龙, 王晓庆. 具有随机不确定性的机翼颤振优化[J]. 航空学报, 2011,32(9):1629-1636.
Han Jinglong, Wang Xiaoqing. Flutter optimization of wing structure with random uncertainty [J]. Acta Aeronautica et Astronautica Sinica, 2011, 32(9): 1629-1636.
[12]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 Zhentao, Chen Jianjun, Zhu Zengqing. Dynamic Interval Analysis for Uncertain Structures[J]. Chinese Journal of Applied Mechanics,2008,25(1):46-50
[13] 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 Haibo, Sun Weiping. Aerodynamic Optimization for Winglets Based on Mult-i level Response Surface Method[J]. Acta aeronautica et astronautica sinica, 2010,31(3):119-124.
[14]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 zhi-jie. Improvement in anslysis of quasi-static collapase with Ls-dyna[J]. Mechanics in engineering, 2003,25(3):20-23