结合部虚拟材料参数的逆向优化识别方法
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摘要
考虑结合部的有限元模型是准确分析、预测结构动态响应与振动控制的基础。以哑铃状结构实验模型为研究对象,采用虚拟材料层法对结合部进行等效参数化建模。综合模态实验数据和有限元优化仿真技术,提出了一种简单实用的结合部虚拟材料参数逆向优化识别方法。为关联有限元模型和实验数据,特引入基于仿真和实验固有频率之间差值最小化的目标函数。采用灵敏度法对整体结构模型做局部有限元反解,利用多目标遗传算法优化求解结合部虚拟材料参数。通过对比实验模型、正向模型和逆向模型得到的固有频率,验证了所提方法的正确性和可行性,并进一步探讨了不同预紧力矩对结合部虚拟材料参数的影响。
A consideration of the joint involved into the finite element(FE)model is the foundation of accurate analysis and prediction of structural dynamic response and vibration control.Taking a dumbbell structure as research object,the parametric modeling of the joint is given using the virtual material layer method.Based on the modal test data together with the FE optimization and simulation technologies,a simple and practical method to inversely optimize and identify the virtual material parameters of joints is proposed.An objective function based on minimizing the discrepancy between the simulation and experimental natural frequencies is introduced to establish the linkage between the FE model and the test data.By using the sensitivity method,the local FE inverse solution of the whole structural model is carried out,and then the multi-objective genetic algorithm is used to optimize and solve the virtual material parameters of the joint.Comparisons between the natural frequencies from the test model,forward model and inverse model are made to validate the correctness and feasibility of the proposed method.Besides,further study is carried out on the influence of different pre-tightening torques on the virtual material parameters of joints.
A consideration of the joint involved into the finite element(FE)model is the foundation of accurate analysis and prediction of structural dynamic response and vibration control.Taking a dumbbell structure as research object,the parametric modeling of the joint is given using the virtual material layer method.Based on the modal test data together with the FE optimization and simulation technologies,a simple and practical method to inversely optimize and identify the virtual material parameters of joints is proposed.An objective function based on minimizing the discrepancy between the simulation and experimental natural frequencies is introduced to establish the linkage between the FE model and the test data.By using the sensitivity method,the local FE inverse solution of the whole structural model is carried out,and then the multi-objective genetic algorithm is used to optimize and solve the virtual material parameters of the joint.Comparisons between the natural frequencies from the test model,forward model and inverse model are made to validate the correctness and feasibility of the proposed method.Besides,further study is carried out on the influence of different pre-tightening torques on the virtual material parameters of joints.
引文
[1]Zaman I,Khalid A,Manshoor B,et al.The effects of bolted joints on dynamic response of structures[C].IOP Conf.Ser.:Mater.Sci.Eng.2013,50:1-6.
[2]Dohner J L.On the development of methodologies for constructing predictive models of structures with joints and interfaces[R].No.SAND2001-0003P,the United States:Sandia National Laboratories,2001:1-14.
[3]Ahmadian H,Jalali H.Identification of bolted lap joints parameters in assembled structures[J].Mechanical Systems and Signal Processing,2007,21(2):1041-1050.
[4]Xu C,Zhang J,Wu Z,et al.Dynamic modeling and parameters identification of a spindle holder taper joint[J].The International Journal of Advanced Manufacturing Technology,2012,67(5-8):1517-1525.
[5]李玲,蔡安江,阮晓光,等.栓接结合部刚度建模与特性分析[J].振动工程学报,2017,30(1):1-8.LI Ling,CAI Anjing,RUAN Xiaoguang,et al.Stiffness modelling and characteristics analysis of bolted joints[J].Journal of Vibration Engineering,2017,30(1):1-8.
[6]Sharma K G,Desai C S.Analysis and Implementation of Thin-Layer Element for Interfaces and Joints[J].Journal of Engineering Mechanics,1992,118(12):2442-2462.
[7]Iranzad M,Ahmadian H.Identification of nonlinear bolted lap joint models[J].Computers&Structures,2012,96-97:1-8.
[8]姜东,吴邵庆,史勤丰,等.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,(04):220-227.JIANG Dong,WU Shaoqing,SHI Qinfeng,et al.Contact interface parameter identification of bolted joint structure with uncertainty using thin layer element method[J].Engineering Mechanics,2015,(04):220-227.
[9]Ehrlich C,Schmidt A,Gaul L.Reduced thin-layer elements for modeling the nonlinear transfer behavior of bolted joints of automotive engine structures[J].Archive of Applied Mechanics,2016,86(1-2):59-64.
[10]Bograd S,Reuss P,Schmidt A,et al.Modeling the dynamics of mechanical joints[J].Mechanical Systems and Signal Processing,2011,25(8):2801-2826.
[11]Guo H,Zhang J,Feng P,et al.A virtual materialbased static modeling and parameter identification method for a BT40spindle-holder taper joint[J].The International Journal of Advanced Manufacturing Technology,2015,81(1-4):307-314.
[12]Hui Y,Huang Y M,Li P Y,et al.Virtual material parameter acquisition based on the basic characteristics of the bolt joint interfaces[J].Tribology International,2016,95:109-117.
[13]田红亮,刘芙蓉,方子帆,等.引入各向同性虚拟材料的固定结合部模型[J].振动工程学报,2013,26(4):561-573.TIAN Hongliang,LIU Furong,FAGN Zifan,et al.Immobable joint surface’s model using isotropic virtual material[J].Journal of Vibration Engineering,2013,26(4):561-573.
[14]Tian H,Li B,Liu H,et al.A new method of virtual material hypothesis-based dynamic modeling on fixed joint interface in machine tools[J].International Journal of Machine Tools and Manufacture,2011,51(3):239-249.
[15]张学良,范世荣,温淑花,等.基于等效横观各向同性虚拟材料的固定结合部建模方法[J].机械工程学报,2017,(15):141-147.ZHAGN Xueliang,FAN Shirong,WEN Shuhua,et al.Modeling method of fixed joint interfaces based on equivalent transversely isotropic virtual material[J].Journal of Mechanical Engineering,2017,(15):141-147.
[16]Nobari A S,Robb D A,Ewins D J.A new approach to modal-based structural dynamic model updating and joint identification[J].Mechanical Systems&Signal Processing,1995,9(1):85-100.
[17]Tian H,Li B,Liu H,et al.A new dynamic modeling approach to fixed joint interface in machine tools[C].2010 2nd International Conference on Mechanical and Technology(ICMET),Singapore,2010:718-721.
[18]Marwala T.Finite element model updating using computational intelligence techniques[J].Theoretical Computer Science,2013,511(1):147-158.
[19]Castelluccio G M,Brake M R W.On the origin of computational model sensitivity,error,and uncertainty in threaded fasteners[J].Computers&Structures,2017,186:1-10.
[20]Shokrollahi S,Adel F.Finite element model updating of bolted lap joints implementing identification of joint affected region parameters[J].Journal of Theoretical and Applied Vibration and Acoustics,2016,2(1):65-78.
[21]Adel F,Shokrollahi S,Jamal-Omidi M,et al,Amodel updating method for hybrid composite/aluminum bolted joints using modal test data[J].Journal of Sound and Vibration,2017,396:172-185.
[2]Dohner J L.On the development of methodologies for constructing predictive models of structures with joints and interfaces[R].No.SAND2001-0003P,the United States:Sandia National Laboratories,2001:1-14.
[3]Ahmadian H,Jalali H.Identification of bolted lap joints parameters in assembled structures[J].Mechanical Systems and Signal Processing,2007,21(2):1041-1050.
[4]Xu C,Zhang J,Wu Z,et al.Dynamic modeling and parameters identification of a spindle holder taper joint[J].The International Journal of Advanced Manufacturing Technology,2012,67(5-8):1517-1525.
[5]李玲,蔡安江,阮晓光,等.栓接结合部刚度建模与特性分析[J].振动工程学报,2017,30(1):1-8.LI Ling,CAI Anjing,RUAN Xiaoguang,et al.Stiffness modelling and characteristics analysis of bolted joints[J].Journal of Vibration Engineering,2017,30(1):1-8.
[6]Sharma K G,Desai C S.Analysis and Implementation of Thin-Layer Element for Interfaces and Joints[J].Journal of Engineering Mechanics,1992,118(12):2442-2462.
[7]Iranzad M,Ahmadian H.Identification of nonlinear bolted lap joint models[J].Computers&Structures,2012,96-97:1-8.
[8]姜东,吴邵庆,史勤丰,等.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,(04):220-227.JIANG Dong,WU Shaoqing,SHI Qinfeng,et al.Contact interface parameter identification of bolted joint structure with uncertainty using thin layer element method[J].Engineering Mechanics,2015,(04):220-227.
[9]Ehrlich C,Schmidt A,Gaul L.Reduced thin-layer elements for modeling the nonlinear transfer behavior of bolted joints of automotive engine structures[J].Archive of Applied Mechanics,2016,86(1-2):59-64.
[10]Bograd S,Reuss P,Schmidt A,et al.Modeling the dynamics of mechanical joints[J].Mechanical Systems and Signal Processing,2011,25(8):2801-2826.
[11]Guo H,Zhang J,Feng P,et al.A virtual materialbased static modeling and parameter identification method for a BT40spindle-holder taper joint[J].The International Journal of Advanced Manufacturing Technology,2015,81(1-4):307-314.
[12]Hui Y,Huang Y M,Li P Y,et al.Virtual material parameter acquisition based on the basic characteristics of the bolt joint interfaces[J].Tribology International,2016,95:109-117.
[13]田红亮,刘芙蓉,方子帆,等.引入各向同性虚拟材料的固定结合部模型[J].振动工程学报,2013,26(4):561-573.TIAN Hongliang,LIU Furong,FAGN Zifan,et al.Immobable joint surface’s model using isotropic virtual material[J].Journal of Vibration Engineering,2013,26(4):561-573.
[14]Tian H,Li B,Liu H,et al.A new method of virtual material hypothesis-based dynamic modeling on fixed joint interface in machine tools[J].International Journal of Machine Tools and Manufacture,2011,51(3):239-249.
[15]张学良,范世荣,温淑花,等.基于等效横观各向同性虚拟材料的固定结合部建模方法[J].机械工程学报,2017,(15):141-147.ZHAGN Xueliang,FAN Shirong,WEN Shuhua,et al.Modeling method of fixed joint interfaces based on equivalent transversely isotropic virtual material[J].Journal of Mechanical Engineering,2017,(15):141-147.
[16]Nobari A S,Robb D A,Ewins D J.A new approach to modal-based structural dynamic model updating and joint identification[J].Mechanical Systems&Signal Processing,1995,9(1):85-100.
[17]Tian H,Li B,Liu H,et al.A new dynamic modeling approach to fixed joint interface in machine tools[C].2010 2nd International Conference on Mechanical and Technology(ICMET),Singapore,2010:718-721.
[18]Marwala T.Finite element model updating using computational intelligence techniques[J].Theoretical Computer Science,2013,511(1):147-158.
[19]Castelluccio G M,Brake M R W.On the origin of computational model sensitivity,error,and uncertainty in threaded fasteners[J].Computers&Structures,2017,186:1-10.
[20]Shokrollahi S,Adel F.Finite element model updating of bolted lap joints implementing identification of joint affected region parameters[J].Journal of Theoretical and Applied Vibration and Acoustics,2016,2(1):65-78.
[21]Adel F,Shokrollahi S,Jamal-Omidi M,et al,Amodel updating method for hybrid composite/aluminum bolted joints using modal test data[J].Journal of Sound and Vibration,2017,396:172-185.