螺栓连接结合部薄层单元参数优化辨识
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摘要
薄层单元可有效地表征螺栓连接结合部,但要进行动力学分析及优化必须辨识出薄层单元参数。为此,在建立薄层单元参数与结合部动态特性关系的基础上,提出一种准确、高效辨识薄层单元参数的方法。通过分析薄层单元的刚度矩阵及本构方程,确定待辨识参数;采用拉丁超立方抽样方法选取参数样本,结合试验与有限元计算的模态参数建立目标函数,用响应面模型表征薄层单元参数与目标函数的关系,并评价模型精度;采用遗传算法在响应面模型基础上实现参数优化辨识。分别辨识均一材料和考虑结合面应力分布差异化材料的薄层单元参数,参数优化辨识后,试件的试验与有限元计算固有频率误差均不超过4%,证明了该辨识方法的有效性。
Bolted joints could be characterized by thin-layer element effectively,and it's necessary to identify thin-layer element parameters for dynamic analysis and optimization of bolted joints. An accurate and efficient method is proposed to identify parameters based on thin-layer element method. Through analyzing the stiffness matrix and constitutive equation of thin-layer element,parameters to be identified are determined. Latin hypercube sampling method is adopted to select samples of parameters. Then,the relationship between thin-layer element parameters and objective function is characterized by response surface model. Finally,genetic algorithm is used to optimize and identify parameters based on the response surface model. Parameters of homogeneous material element and differential material element are identified respectively. The errors of natural frequencies are no more than 4% which demonstrated the validity of the identification method.
Bolted joints could be characterized by thin-layer element effectively,and it's necessary to identify thin-layer element parameters for dynamic analysis and optimization of bolted joints. An accurate and efficient method is proposed to identify parameters based on thin-layer element method. Through analyzing the stiffness matrix and constitutive equation of thin-layer element,parameters to be identified are determined. Latin hypercube sampling method is adopted to select samples of parameters. Then,the relationship between thin-layer element parameters and objective function is characterized by response surface model. Finally,genetic algorithm is used to optimize and identify parameters based on the response surface model. Parameters of homogeneous material element and differential material element are identified respectively. The errors of natural frequencies are no more than 4% which demonstrated the validity of the identification method.
引文
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[8]Wang G G,Shan S.Review of Metamodeling Techniques in Support of Engineering Design Optimization[J].Journal of Mechanical Design,Transactions of the ASME,2007,129(4):370-380.
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[10]Ibrahim R A,Pettit C L.Uncertainties and dynamic problems of bolted joints and other fasteners[J].Journal of Sound and Vibration,2005,279(3-5):857-936.
[2]Tian H,Li B,Liu H.A new method of virtual material hypothesis-based dynamic modeling on fixed joint interface in machine tools[J].International Journal of Machine Tools&Manufacture,2011,51(3):239-249.
[3]杨尧,袁军堂,汪振华.基于虚拟材料层的滑动结合部动态特性建模方法[J].机械设计与制造,2014(2):222-224.(Yang Yao,Yuan Jun-tang,Wang Zhen-hua.Modeling method based on virtual material layer for dynamic characteristics of sliding joint[J].Machinery Design&Manufacture,2014(2):222-224.)
[4]Desai C S,Zaman M M,Lightner J G.Thin-layer element for interfaces and joints[J].International Journal for Numerical and Analytical Methods in Geomechanics,1984,8(1):19-43.
[5]Ahmadian H,Mottershead J E,James S.Modeling and updating of large surface-to-surface joints in the AWE-MACE structure[J].Mechanical Systems and Signal Processing,2006,20(4):868-880.
[6]姜东,吴邵庆,史勤丰.基于薄层单元的螺栓连接结构接触面不确定性参数识别[J].工程力学,2015,32(4):220-227.(JiangDong,Wu Shao-qing,Shi Qin-feng.Contact interface parameter identification of bolted joint structure with uncertainty using thin layer element method[J].Engineering Mechanics,2015,32(4):220-227.)
[7]Stein M.Large sample properties of simulations using Latin hypercube sampling[J].Technometrics,1987,29(2):143-151.
[8]Wang G G,Shan S.Review of Metamodeling Techniques in Support of Engineering Design Optimization[J].Journal of Mechanical Design,Transactions of the ASME,2007,129(4):370-380.
[9]OTTSC J,TERRID.The development and evaluation of an improved genetic algorithm based on migration and artificial selection[J].IEEE Transactions,Man,and Cybernetics,1994,24(1):73-86.
[10]Ibrahim R A,Pettit C L.Uncertainties and dynamic problems of bolted joints and other fasteners[J].Journal of Sound and Vibration,2005,279(3-5):857-936.