结合面广义间隙的等效模型研究
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摘要
为了从微观和宏观相结合的角度研究结合面的动态特性,首先研究了考虑摩擦因素的结合面接触刚度分形模型;然后以组合梁为研究对象,把梁结构及它们之间的结合面重构为由固体-广义间隙-固体系统,即把结合面等效为广义间隙,利用结合面接触刚度的分形模型与材料应变能等效的方法,获得了结合面的广义间隙的材料常数,并据此材料常数进行组合梁的有限元分析;最后,为了进一步确定所建立结合面接触刚度分形模型的正确性和结合面等效方法的合理性,进行了组合梁的模态试验,把有限元分析的结果和实验结果进行比较,结果表明运用这种等效方法来处理结合面是非常合适的,结果也间接地表明了所建立的结合面接触刚度的分形模型是正确的。
To study the dynamic characteristics of joint surfaces from the perspective of combination of macroscale and microscale,first of all,a fractal model is established for the contact stiffness of the joint surface with the friction factor considered.Moreover,as an instance study,the substructures and their joint surface of a composite beam are reconstructed as a solid-generalized clearance-solid system.Thus,the joint surface is regarded as the generalized clearance,and its material constants are obtained by making equal of the fractal model of the contact stiffness and the strain energy of the material.The finite element analysis of the composite beam is conducted based on the derived material constants and the modal test is conducted as comparison.The comparison results show the validity of the fractal model of the contact stiffness and the rightness of equivalence method.
To study the dynamic characteristics of joint surfaces from the perspective of combination of macroscale and microscale,first of all,a fractal model is established for the contact stiffness of the joint surface with the friction factor considered.Moreover,as an instance study,the substructures and their joint surface of a composite beam are reconstructed as a solid-generalized clearance-solid system.Thus,the joint surface is regarded as the generalized clearance,and its material constants are obtained by making equal of the fractal model of the contact stiffness and the strain energy of the material.The finite element analysis of the composite beam is conducted based on the derived material constants and the modal test is conducted as comparison.The comparison results show the validity of the fractal model of the contact stiffness and the rightness of equivalence method.
引文
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[17]王书亭,李杰,刘涛,等.机械固定结合面刚度特性建模[J].华中科技大学学报(自然科学版),2011,39(8):1—5.Wang Shuting,Li Jie,Liu Tao Mao,et al.Interfacial stiffness characteristic modeling of mechanical fixed joints[J].Journal of Huazhong University of Science and Technology(Natural Science Edition),2011,39(8):1—5.
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[20]田红亮.机械结构固定结合部虚拟材料的动力学[D].武汉:华中科技大学,2011.Tian Hong-liang.Dynamic modeling on fixed joint interface virtual material mechanical structure[D].Wuhan:Huazhong University,2011.
[2]Greenwood J A,Williamson J B P.Contact of nominally flat surfaces[J].Proc.Roy.Soc.Lond,1966,295:300—319.
[3]Majumdar A,Bhushan B.Fractal model of elasticplastic contact between rough surfaces[J].Journal of Tribology,1911,113:1—11.
[4]Ray Sudipto,Roy Chowdhury S K.Prediction of flash temperature at the contact between sliding bodies with nanoscale surface roughness[J].ASME Journal of Tribology,2007,129(3):467—480.
[5]Wang S,Komvopoulos K.A fractal theory of the interfacial temperature distribution in the slow sliding regime:PartⅠ-elastic contact and heat transfer analysis[J].ASME Journal of Tribology,1994,116(4):812—823.
[6]Wang S,Komvopoulos K.A fractal theory of the interfacial temperature distribution in the slow sliding regime:PartⅡ-multiple domains,elastoplastic contacts and applications[J].ASME Journal of Tribology,1994,116(4):824—832.
[7]朱育权,马保吉,姜凌彦.粗糙表面接触的弹性、弹塑性、塑性分形模型[J].西安工业学院学报,2001,21(2):150—157.ZHU Yuquan,MA Baoji,JIANG Ling-yan.The elastic elastoplastic and plastic fractal contact models for rough surface[J].Journal of Xi′an Institute of Technology,2001,21(2):150—157.
[8]张学良,黄玉美,傅卫平.粗糙表面法向接触刚度的分形模型[J].应用力学学报,2000,17(2):31—35.ZHANG Xueliang,HUANG Yumei,FU Wei-ping.Fractal model of normal contact stiffness between rough surfaces[J].Chinese Journal of Applied Mechanics,2000,17(2):31—35.
[9]张学良,温淑花,兰国生,等.平面结合面切向接触阻尼分形模型及其仿真[J].西安交通大学学报,2011,45(5):74—77.ZHANG Xueliang,WEN Shuhua,LAN Guosheng.Fractal model for tangential contact damping of plane joint interfaces with simulation[J].Journal of Xian Jiaotong University,2011,45(5):74—77.
[10]Geike T,Popov V L.Mapping of three-dimensional contact problems into one dimension[J].Phys.Rev.E,2007,76(3):036710(1)—036710(5).
[11]李小彭,王伟,赵米鹊,等.考虑摩擦因素影响的结合面切向接触阻尼分形预估模型及仿真[J].机械工程学报,2012,48(23):46—50.Li Xiaopeng,Wang Wei,Zhao Mique.Fractal prediction model for tangential contact damping of joint surface considering friction factors and its simulation[J].Journal of Mechanical Engineering,2012,48(23):46—50.
[12]周传宏,孙健利.滚动直线导轨副的振动研究[J].华中理工大学学报,1996,24(8):105—108.Zhou Chuanhong,Sun Jianli.The Vibration of the Ball Guide with Linear Motion[J].Journal of Huazhong University of Science and Technology,1996,24(8):105—108.
[13]周传宏,孙健利,杨叔子.滚动直线导轨副的振动模型研究[J].机械设计,1999,(2):21—24.Zhou Chuanhong,Sun Jianli,YANG Shuzi.A study on the vibration model of rolling linear guiding pairs[J].Machine Design,1999,(2):21—24.
[14]张杰.机床固定结合面动力学模型的建立与参数识别[D].杭州:浙江大学,1989.ZHANG Jie.The establishment of dynamic model and parameter identification of the fixed joint surface of machine tools[D].Hangzhou:Zhejiang University,1989.
[15]张杰,童忠钫.机床固定结合面动力学建模问题[J].振动与冲击,1994,(3):15—22.Zhang Jie,Tong Zhongfang.The problem of dynamcal modeling of bolted joints in machine tool[J].Journal of Vibration and Shock,1994,(3):15—22.
[16]Tian Hongliang,Li Bin,Liu Hongqi,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&Manufacture,2011,51:239—249.
[17]王书亭,李杰,刘涛,等.机械固定结合面刚度特性建模[J].华中科技大学学报(自然科学版),2011,39(8):1—5.Wang Shuting,Li Jie,Liu Tao Mao,et al.Interfacial stiffness characteristic modeling of mechanical fixed joints[J].Journal of Huazhong University of Science and Technology(Natural Science Edition),2011,39(8):1—5.
[18]葛世荣,朱华.摩擦学的分形[M].北京:机械工业出版社,2005.GE Shirong,ZHU Hua.Tribological Fractal[M].Beijing:China Machine Press,2005.
[19]毛宽民,黄小磊,田洪亮,等.机床固定结合面参数识别及其拟合方法[J].华中科技大学学报(自然科学版),2011,39(8):18—21.Mao Kuanmin,Huang Xiaolei,Tian Hongliang,et al.Identifying dynamic parameters of fixed joints in machine tools and its fitting method[J].Journal of Huazhong University of Science and Technology:Natural Science Edition,2011,39(8):18—21.
[20]田红亮.机械结构固定结合部虚拟材料的动力学[D].武汉:华中科技大学,2011.Tian Hong-liang.Dynamic modeling on fixed joint interface virtual material mechanical structure[D].Wuhan:Huazhong University,2011.