结合DIC技术的车用复合材料参数反演方法
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摘要
针对传统电测法在复合材料参数测定中易受环境干扰等问题,提出一种基于数字图像相关(digital image correlation,DIC)技术的车用复合材料参数反演方法。首先通过DIC技术获得复合材料试样的全场位移场,结合有限元仿真,以测量值与仿真值之间的误差为目标函数,构建反问题模型。采用遗传算法和序列二次规划法相结合的策略对材料参数进行反求,获得能表征复合材料真实材料参数的最优值。试验表明,基于DIC技术的反演方法对未知参数在较大区间下具有较强的识别能力,且能一次性且完整地反演复合材料的本构参数,反演精度和计算效率都有一定优势。
For getting the constitutive parameters of composite material,comparing with the traditional electrical measuring method,this paper proposes an parameter estimation technique based on digital image correlation technique( DIC),which solves the easily interfered issue at the time of measuring parameters. In view of the carbon fiber composites,which is used the body and chassis of vehicles,as the subject of study. Firstly,the parameter estimation technique obtains the whole displacement field of the composite specimens with the test apparatuses of DIC. Then,combining with finite element method( FEM),the parameter estimation problem model is established through the error function between the measured and the simulated results. Finally,in order to find the optimal result,the paper combines the genetic algorithm( GA) with the sequential quadratic programming( SQP) to represent the real composite material constitutive parameters. The experiment shows that the ability of the proposed method is strong to identify the material constitutive parameters,especially the parameters in a larger interval range. Besides,the approach could identify complete composite material parameters by once,and has the superior precision and efficiency.
For getting the constitutive parameters of composite material,comparing with the traditional electrical measuring method,this paper proposes an parameter estimation technique based on digital image correlation technique( DIC),which solves the easily interfered issue at the time of measuring parameters. In view of the carbon fiber composites,which is used the body and chassis of vehicles,as the subject of study. Firstly,the parameter estimation technique obtains the whole displacement field of the composite specimens with the test apparatuses of DIC. Then,combining with finite element method( FEM),the parameter estimation problem model is established through the error function between the measured and the simulated results. Finally,in order to find the optimal result,the paper combines the genetic algorithm( GA) with the sequential quadratic programming( SQP) to represent the real composite material constitutive parameters. The experiment shows that the ability of the proposed method is strong to identify the material constitutive parameters,especially the parameters in a larger interval range. Besides,the approach could identify complete composite material parameters by once,and has the superior precision and efficiency.
引文
[1]王东川,刘启志,柯枫.碳纤维增强复合材料在汽车上的应用[J].汽车工艺与材料,2005,(4):33-36Wang D C,Liu Q Z,Ke F.Application of carbon fiber reinforced composites in automobiles[J].Automobile Technology&Material,2005,(4):33-36(in Chinese)
[2]范子杰,桂良进,苏瑞意.汽车轻量化技术的研究与进展[J].汽车安全与节能学报,2014,5(1):1-16Fan Z J,Gui L J,Su R Y.Research and development of automotive lightweight technology[J].Journal of Automotive Safety and Energy,2014,5(1):1-16(in Chinese)
[3]Sol H.Identification of anisotropic plate rigidities using free vibration data[D].Brussels,Belgium:Vrije University Brussels,1986
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[8]Kavanagh K T,Clough R W.Finite element applications in the characterization of elastic solids[J].International Journal of Solids and Structures,1971,7(1):11-23
[9]Deobald L R,Gibson R F.Determination of elastic constants of orthotropic plates by a modal analysis/Rayleigh-Ritz technique[J].Journal of Sound and Vibration,1988,124(2):269-283
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[11]娄利飞,矫桂琼,王波.三维编织C/Si C复合材料弹性常数预报[J].机械科学与技术,2004,23(7):786-788Lou L F,Jiao G Q,Wang B.Prediction of the elastic constants of 3-D braided C/Si C composites[J].Mechanical Science and Technology,2004,23(7):786-788(in Chinese)
[12]Peters W H,Ranson W F.Digital imaging techniques in experimental stress analysis[J].Optical Engineering,1982,21(3):213427
[13]Rossi M,Broggiato G B,Papalini S.Application of digital image correlation to the study of planar anisotropy of sheet metals at large strains[J].Meccanica,2008,43(2):185-199
[14]付磊,刘迪辉,孙光永,等.基于DIC技术和硬度试验的焊缝材料参数识别新方法[J].中国机械工程,2013,24(2):274-279Fu L,Liu D H,Sun G Y,et al.A refined method to identify material parameters of weld line based on DIC technique and hardness test[J].China Mechanical Engineering,2013,24(2):274-279(in Chinese)
[15]沈观林,胡更开.复合材料力学[M].北京:清华大学出版社,2006Shen G L,Hu G K.Mechanics of composite materials[M].Beijing:Tsinghua University Press,2006(in Chinese)
[16]Bruck H A,Mc Neill S R,Sutton M A,et al.Digital image correlation using Newton-Raphson method of partial differential correction[J].Experimental Mechanics,1989,29(3):261-267
[17]Miki M,Hiroyasu T,Kaneko M,et al.A parallel genetic algorithm with distributed environment scheme[C]//Proceedings of the 1999 IEEE International Conference on Systems,Man,and Cybernetics,1999.Tokyo:IEEE,1999,1:695-700
[18]Wilson R B.A simplicial algorithm for concave programming[D].Cambridge:Harvard University,1963
[19]中华人民共和国国家质量监督检验检疫总局,中国国家标准化管理委员会.GB/T 1040.4-2006塑料拉伸性能的测定第4部分:各向同性和正交各向异性纤维增强复合材料的试验条件[S].北京:中国标准出版社,2006General Administration of Quality Supervision,Inspection and Quarantine of the People's Republic of China(AQSIQ),Standardization Administration of the People's Republic of China.GB/T 1040.4-2006Plastics-determination of tensile properties-Part 4:Test conditions for isotropic and orthotropic fibre-reinforced plastic composites[S].Beijing:China Standard Press,2006(in Chinese)
[2]范子杰,桂良进,苏瑞意.汽车轻量化技术的研究与进展[J].汽车安全与节能学报,2014,5(1):1-16Fan Z J,Gui L J,Su R Y.Research and development of automotive lightweight technology[J].Journal of Automotive Safety and Energy,2014,5(1):1-16(in Chinese)
[3]Sol H.Identification of anisotropic plate rigidities using free vibration data[D].Brussels,Belgium:Vrije University Brussels,1986
[4]Maniatty A,Zabaras N,Stelson K.Finite element analysis of some inverse elasticity problems[J].Journal of Engineering Mechanics,1989,115(6):1303-1317
[5]Cailletaud G,Pilvin P.Identification and inverse problems related to material behaviour[M]//Bui H D,Tanaka M.Inverse Problems in Engineering Mechanics.Rotterdam:Balkema,1994:79-86
[6]Schnur D S,Zabaras N.An inverse method for determining elastic material properties and a material interface[J].International Journal for Numerical Methods in Engineering,1992,33(10):2039-2057
[7]钟云锋,姜潮.基于反求理论的汽车安全性优化[J].机械科学与技术,2014,33(9):1393-1396Zhong Y F,Jiang C.The optimization of vehicle safty based on reverse theory[J].Mechanical Science and Technology for Aerospace Engineering,2014,33(9):1393-1396(in Chinese)
[8]Kavanagh K T,Clough R W.Finite element applications in the characterization of elastic solids[J].International Journal of Solids and Structures,1971,7(1):11-23
[9]Deobald L R,Gibson R F.Determination of elastic constants of orthotropic plates by a modal analysis/Rayleigh-Ritz technique[J].Journal of Sound and Vibration,1988,124(2):269-283
[10]De Visscher J,Sol H,De Wilde W P,et al.Identification of the damping properties of orthotropic composite materials using a mixed numerical experimental method[J].Applied Composite Materials,1997,4(1):13-33
[11]娄利飞,矫桂琼,王波.三维编织C/Si C复合材料弹性常数预报[J].机械科学与技术,2004,23(7):786-788Lou L F,Jiao G Q,Wang B.Prediction of the elastic constants of 3-D braided C/Si C composites[J].Mechanical Science and Technology,2004,23(7):786-788(in Chinese)
[12]Peters W H,Ranson W F.Digital imaging techniques in experimental stress analysis[J].Optical Engineering,1982,21(3):213427
[13]Rossi M,Broggiato G B,Papalini S.Application of digital image correlation to the study of planar anisotropy of sheet metals at large strains[J].Meccanica,2008,43(2):185-199
[14]付磊,刘迪辉,孙光永,等.基于DIC技术和硬度试验的焊缝材料参数识别新方法[J].中国机械工程,2013,24(2):274-279Fu L,Liu D H,Sun G Y,et al.A refined method to identify material parameters of weld line based on DIC technique and hardness test[J].China Mechanical Engineering,2013,24(2):274-279(in Chinese)
[15]沈观林,胡更开.复合材料力学[M].北京:清华大学出版社,2006Shen G L,Hu G K.Mechanics of composite materials[M].Beijing:Tsinghua University Press,2006(in Chinese)
[16]Bruck H A,Mc Neill S R,Sutton M A,et al.Digital image correlation using Newton-Raphson method of partial differential correction[J].Experimental Mechanics,1989,29(3):261-267
[17]Miki M,Hiroyasu T,Kaneko M,et al.A parallel genetic algorithm with distributed environment scheme[C]//Proceedings of the 1999 IEEE International Conference on Systems,Man,and Cybernetics,1999.Tokyo:IEEE,1999,1:695-700
[18]Wilson R B.A simplicial algorithm for concave programming[D].Cambridge:Harvard University,1963
[19]中华人民共和国国家质量监督检验检疫总局,中国国家标准化管理委员会.GB/T 1040.4-2006塑料拉伸性能的测定第4部分:各向同性和正交各向异性纤维增强复合材料的试验条件[S].北京:中国标准出版社,2006General Administration of Quality Supervision,Inspection and Quarantine of the People's Republic of China(AQSIQ),Standardization Administration of the People's Republic of China.GB/T 1040.4-2006Plastics-determination of tensile properties-Part 4:Test conditions for isotropic and orthotropic fibre-reinforced plastic composites[S].Beijing:China Standard Press,2006(in Chinese)