螺栓联接梁结构结合部非线性特性参数辨识
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摘要
以螺栓联接组合梁为例,系统地研究了辨识结合部非线性特性参数的方法。在分析结合部非线性模型以及对非线性结合部动力学特性表征测试的基础上,提出采用简化的Iwan模型模拟结合面之间的非线性动力学现象,从而建立了螺栓联接组合梁非线性解析模型。进一步,提出采用力状态映射法(Force-state mapping)识别螺栓组合梁结合部动力学特性参数的方法及相应的测试流程。最后,进行了实例研究,应用所提出的方法,辨识出了所研究的螺栓组合梁结合部的刚度及阻尼特性参数。该研究可作为辨识其他螺栓联接结合部动力学特性参数的参考。
Between two contact surfaces of bolt connection,there exist the friction,slip and slap for the interfacial gaps.So the dynamical behavior of the bolted built-up structure usually shows the nonlinear characteristics.Estimating the non-linear dynamical characteristic parameters of bolt joint is very important to create the complex dynamics model considered the joint characteristics.In the paper,the bolted beam structure is taken as an example and the method for identifying nonlinear characteristic parameters for bolt joint is sytematically studied.On the basis of analyzing the non-linear model of bolt joint and measuring its characteristics the simplified Iwan model is adopted to simulate the joint characteristics and the analytical model of bolt build-up structure is set up.Furthermore,the force-state mapping method is chosen to identify the bolt joint parameters and the corresponding test procedures are presented too.At last as a practical study case the non-linear stiffness and damping parameters of bolt joint are identified by the proposed method which can be used as the reference for identifying the non-linear joint parameters of the other bolt build-up structures.
Between two contact surfaces of bolt connection,there exist the friction,slip and slap for the interfacial gaps.So the dynamical behavior of the bolted built-up structure usually shows the nonlinear characteristics.Estimating the non-linear dynamical characteristic parameters of bolt joint is very important to create the complex dynamics model considered the joint characteristics.In the paper,the bolted beam structure is taken as an example and the method for identifying nonlinear characteristic parameters for bolt joint is sytematically studied.On the basis of analyzing the non-linear model of bolt joint and measuring its characteristics the simplified Iwan model is adopted to simulate the joint characteristics and the analytical model of bolt build-up structure is set up.Furthermore,the force-state mapping method is chosen to identify the bolt joint parameters and the corresponding test procedures are presented too.At last as a practical study case the non-linear stiffness and damping parameters of bolt joint are identified by the proposed method which can be used as the reference for identifying the non-linear joint parameters of the other bolt build-up structures.
引文
[1]LIN Y.A method of identifying interface characteris-tic for machine tools design[J].Journal of Sound andVibration,2002,255(3):481—487.
[2]Damjan Celic,Miha Boltezar.Identification of the dy-namic properties of joints using frequency-responsefunctions[J].Journal of Sound and Vibration,2008,317(1-2):158—174.
[3]Abad J,Franco J M,Celorrio R,et al.Design of experi-ments and energy dissipation analysis for a contact me-chanics 3D model of frictional bolted lap joints[J].Ad-vances in Engineering Software,2012,45(1):42—53.
[4]MA X,BERGMAN L,VAKAKIS A.Identificationof bolted joints though laser vibrometry[J].Journal ofSound and Vibration,2001,246(3):441—460.
[5]Hamid Ahmadian,Hassan Jalali.Generic element for-mulation for modelling bolted lap joints[J].Mechani-cal Systems and Signal Processing,2007,21(5):2 318—2 334.
[6]LEE G M.Estimation of non-linear system parametersusing higher-order frequency response function[J].Mechanical Systems and Signal Processing,1997,11(2):219—228.
[7]Edward F Crawley,Aubert A C.Identification of non-linear structural elements by force-state mapping[J].AIAA Journal,1986,24(4):155—162.
[8]Edward F Crawley,Kevin J O’Donnell.Force-statemapping identification of nonlinear joints[J].AIAAJOURNAL,1987,25(7):1 003—1 010.
[9]AL-HADID M A.Estimation of mass and modal massin the identification of non-linear signal and muti de-gree of freedom systems using the force-state mappingapproach[J].Mechanical Systems and Signal Process-ing,1991,6(4):383—401.
[10]Ferri A A.Friction damping and isolation systems[J].Journal of Mechanical Design,1995,117(8):196—206.
[11]Gaul L,Nitsche R.The role of friction in mechanicaljoints[J].Applied Mechanics Reviews,2001,52(2):93—106.
[12]Segalman D J.Modelling joint friction in structural dy-namics[J].Structural Control Health Monitoring,2006,13(1):430—453.
[13]Ivan I Argatov,EricA Butcher.On the Iwan modelsfor lap-type bolted joints[J].International Journal ofNon-Linear Mechanics,2011,46(2):347—356.
[14]Song Y,Hartwigsenb C J,McFarlanda D M,et al.Simulation of dynamics of beam structures with boltedjoints using adjusted Iwan beam elements[J].Journalof Sound and Vibration,2004,273(1-2):249—276.
[15]Bograd S,Reuss P,Schmidt A,et al.Modeling thedynamics of mechanical joints[J].Mechanical Systemsand Signal Processing,2011,25(8):2 801—2 826.
[16]Gaetan Kerschen,Keith Worden,Alexander F Vakak-is,et al.Past,present and future of nonlinear systemidentification in structural dynamics[J].MechanicalSystems and Signal Processing,2006,20(3):505—592.
[17]Hartwigsen C J,Song Y,McFarland D M.Experi-mental study of non-linear effects in a typical shear lapjoint configuration[J].Journal of Sound and Vibra-tion,2004,277(1-2):327—351.
[2]Damjan Celic,Miha Boltezar.Identification of the dy-namic properties of joints using frequency-responsefunctions[J].Journal of Sound and Vibration,2008,317(1-2):158—174.
[3]Abad J,Franco J M,Celorrio R,et al.Design of experi-ments and energy dissipation analysis for a contact me-chanics 3D model of frictional bolted lap joints[J].Ad-vances in Engineering Software,2012,45(1):42—53.
[4]MA X,BERGMAN L,VAKAKIS A.Identificationof bolted joints though laser vibrometry[J].Journal ofSound and Vibration,2001,246(3):441—460.
[5]Hamid Ahmadian,Hassan Jalali.Generic element for-mulation for modelling bolted lap joints[J].Mechani-cal Systems and Signal Processing,2007,21(5):2 318—2 334.
[6]LEE G M.Estimation of non-linear system parametersusing higher-order frequency response function[J].Mechanical Systems and Signal Processing,1997,11(2):219—228.
[7]Edward F Crawley,Aubert A C.Identification of non-linear structural elements by force-state mapping[J].AIAA Journal,1986,24(4):155—162.
[8]Edward F Crawley,Kevin J O’Donnell.Force-statemapping identification of nonlinear joints[J].AIAAJOURNAL,1987,25(7):1 003—1 010.
[9]AL-HADID M A.Estimation of mass and modal massin the identification of non-linear signal and muti de-gree of freedom systems using the force-state mappingapproach[J].Mechanical Systems and Signal Process-ing,1991,6(4):383—401.
[10]Ferri A A.Friction damping and isolation systems[J].Journal of Mechanical Design,1995,117(8):196—206.
[11]Gaul L,Nitsche R.The role of friction in mechanicaljoints[J].Applied Mechanics Reviews,2001,52(2):93—106.
[12]Segalman D J.Modelling joint friction in structural dy-namics[J].Structural Control Health Monitoring,2006,13(1):430—453.
[13]Ivan I Argatov,EricA Butcher.On the Iwan modelsfor lap-type bolted joints[J].International Journal ofNon-Linear Mechanics,2011,46(2):347—356.
[14]Song Y,Hartwigsenb C J,McFarlanda D M,et al.Simulation of dynamics of beam structures with boltedjoints using adjusted Iwan beam elements[J].Journalof Sound and Vibration,2004,273(1-2):249—276.
[15]Bograd S,Reuss P,Schmidt A,et al.Modeling thedynamics of mechanical joints[J].Mechanical Systemsand Signal Processing,2011,25(8):2 801—2 826.
[16]Gaetan Kerschen,Keith Worden,Alexander F Vakak-is,et al.Past,present and future of nonlinear systemidentification in structural dynamics[J].MechanicalSystems and Signal Processing,2006,20(3):505—592.
[17]Hartwigsen C J,Song Y,McFarland D M.Experi-mental study of non-linear effects in a typical shear lapjoint configuration[J].Journal of Sound and Vibra-tion,2004,277(1-2):327—351.