基于Kriging近似模型的碳纤维增强复合材料疲劳性能预测及其应用
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摘要
以平纹机织碳纤维增强树脂基(CFRP)复合材料为研究对象,通过力学试验测试材料的静态力学和疲劳力学性能,结合Kriging插值方法和Basquin疲劳方程建立预测任意载荷下疲劳应力-循环寿命(S-N)曲线的恒幅寿命图模型,并以此作为复合材料结构优化设计的性能约束;同时,利用最优拉丁超立方试验设计方法和Kriging近似模型构建优化目标和约束响应的近似模型,采用遗传算法优化得到CFRP复合材料电动汽车电池箱壳体的厚度,并通过台架实验加以验证.结果表明,优化后,电池箱壳体结构的减重率达到34.39%.
Mechanical properties of plain weave carbon fiber reinforced plastic(CFRP)composite were studied by static and fatigue experiments.The new Haigh diagram model was established by using Kriging interpolation method and Basquin formulation.The model can predict S-N curves under random loading conditions.And those curves were used as constraints of optimization design.The surrogate modes of optimization object and constraint were established using optimal Latin hypercube design(OLHD)of experiment and Kriging model.The shell thicknesses of power battery pack of electric vehicle were obtained by genetic algorithm.The optimized results were verified through fatigue bench testing.The weight of optimized structure reduced 34.39%.
Mechanical properties of plain weave carbon fiber reinforced plastic(CFRP)composite were studied by static and fatigue experiments.The new Haigh diagram model was established by using Kriging interpolation method and Basquin formulation.The model can predict S-N curves under random loading conditions.And those curves were used as constraints of optimization design.The surrogate modes of optimization object and constraint were established using optimal Latin hypercube design(OLHD)of experiment and Kriging model.The shell thicknesses of power battery pack of electric vehicle were obtained by genetic algorithm.The optimized results were verified through fatigue bench testing.The weight of optimized structure reduced 34.39%.
引文
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[2]LAKSHMI K,RAM R.Optimal design of laminate composite plates using dynamic hybrid adaptive harmony search algorithm[J].Journal of Reinforced Plastics and Composites,2015,34(6):493-518.
[3]李振凯,余音,汪海.复合材料层合板双面贴补结构渐进损伤分析[J].上海交通大学学报,2014,48(6):877-882.LI Zhenkai,YU Yin,WANG Hai.Progressive damage analysis of double-sided adhesively bonding repaired structures of composite laminates[J].Journal of Shanghai Jiao Tong University,2014,48(6):877-882.
[4]FANG J G,GAO Y K,SUN G Y,et al.Multiobjective robust design optimization of fatigue for a truck cab[J].Reliability Engineering and System Safety,2015,135:1-8.
[5]JEMEJ K.Influence of fatigue-life data modeling on the estimated reliability of a structure subjected to a constant-amplitude loading[J].Reliability Engineering and System Safety,2015,142:238-247.
[6]黄章俊,王成恩.基于Kriging模型的涡轮盘优化设计方法[J].计算机集成制造系统,2010,16(5):905-910.HUANG Zhangjun,WANG Chengen.Turbine discs optimization design based on Kriging model[J].Computer Intergrated Manufacturing Systems,2010,16(5):905-910.
[7]BEHESHTY M H,HARRIS B.A constant life model of fatigue behavior for carbon fiber composites:The effect of impact damage[J].Composites Science and Technology,1998,58(1):9-18.
[8]VASSILOPOULOS A P,MANSHADI B D,KELLER T.Influence of the constant life diagram formulation on the fatigue life prediction of composite materials[J].International Journal of Fatigue,2010,32(4):659-669.
[9]HARRIS B.Fatigue in composites[M].Cambridge:Woodhead Publishing Limited,2003:546-568.
[10]KAWAI M,TERANUMA T.A multiaxial fatigue failure criterion based on the principal constant life diagrams for unidirectional carbon/epoxy laminates[J].Composites:Part A,2012,43(8):1252-1266.
[11]JIN R,CHEN W,SUDJIANTO A.An efficient algorithm for constructing optimal design of computer experiments[J].Journal of Statistical Planning and Inference,2005,134(1):268-287.