聚四氟乙烯-芳纶/酚醛树脂斜纹织物衬垫不同磨损阶段弹性常数计算模型
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摘要
为了探究磨损对聚四氟乙烯(PTFE)和芳纶(Kevlar)纤维及酚醛树脂基体(PTFE-Kevlar/酚醛树脂)编织成的斜纹织物衬垫宏观弹性常数的影响。基于复合材料细观力学中的数学模型和体积平均算法,结合斜纹衬垫的细观结构,建立了不同磨损阶段的细观几何模型。从未磨损阶段入手,基于纤维织物几何参数及纤维各自弹性常数,利用MATLAB计算衬垫纤维束和基体的各自体积分数及相关矩阵,实现斜纹织物衬垫局部坐标系与整体坐标系下的弹性常数转化。构建了未磨损阶段衬垫的弹性常数计算模型,并利用算例证明方法的正确性,理论值与试验值的最大误差为5.88%。在此基础上,根据衬垫的结构,把磨损划分为6个阶段,建立不同磨损阶段的弹性常数计算模型。
In order to study the effect of wear on the macroscopic elastic constants of fabric liners made of polytetrafluoroethylene(PTFE)and fabric(Kevlar)as well as phenolic resin matrix,the microscopic geometric models of different wear stages were established in combination with the microstructure of the twill liner based on the mathematical model and the volume averaging algorithm in the micro mechanics of composites.Based on the geometrical parameters and the elastic constants of the fibers,the volume fraction and the correlation matrix of the fiber bundle and the matrix were calculated by MATLAB.Realizing the transformation of the elastic constants of the local coordinate system and the global coordinate system of the twill fabric liner,the elastic constant calculation model of the liner in the unworn stage was constructed,and the correctness of the method was proved by an example.The maximum error between theoretical and experimental values is 5.88%.On this basis,according to the structure and the wear depth of the liner,the wear was divided into six stages,and the elastic constants calculation models of different wear stages were established.
In order to study the effect of wear on the macroscopic elastic constants of fabric liners made of polytetrafluoroethylene(PTFE)and fabric(Kevlar)as well as phenolic resin matrix,the microscopic geometric models of different wear stages were established in combination with the microstructure of the twill liner based on the mathematical model and the volume averaging algorithm in the micro mechanics of composites.Based on the geometrical parameters and the elastic constants of the fibers,the volume fraction and the correlation matrix of the fiber bundle and the matrix were calculated by MATLAB.Realizing the transformation of the elastic constants of the local coordinate system and the global coordinate system of the twill fabric liner,the elastic constant calculation model of the liner in the unworn stage was constructed,and the correctness of the method was proved by an example.The maximum error between theoretical and experimental values is 5.88%.On this basis,according to the structure and the wear depth of the liner,the wear was divided into six stages,and the elastic constants calculation models of different wear stages were established.
引文
[1]黄文雄.自润滑关节轴承装配方式及专用装配工装的设计和应用[J].中国高新技术企业,2013(12):25-27.HUANG Wenxiong.Design and application of self-lubricating joint bearing assembly and special assembly tooling[J].China High Technology Enterprises,2013(12):25-27(in Chinese).
[2]杨育林,谷大鹏,范兵利,等.载荷对Kevlar/PTFE纤维混杂织物摩擦学性能的影响[J].燕山大学学报,2011,35(6):476-480.YANG Yulin,GU Dapeng,FANG Bingli,et al.Influence of loads on tribological properties of hybrid Kevlar/PTFE fabric[J].Journal of Yanshan University,2011,35(6):476-480(in Chinese).
[3]杨育林,祖大磊,黄世军.自润滑关节轴承现状及发展[J].轴承,2009(1):58-61.YANG Yulin,ZU Dalei,HUANG Shijun.Current status and development of self-lubricating spherical plain bearings[J].Bearing,2009(1):58-61(in Chinese).
[4]沈雪瑾,曹磊,陈有光,等.织物衬垫自润滑关节轴承的研究现状与展望[J].轴承,2009(3):57-61.SHENG Xuejin, CAO Lei, CHEN Youguang, et al.Research status and prospect of spherical plain bearings with serf-lubricating fabric liner[J].Bearing,2009(3):57-61(in Chinese).
[5]张佳丽.自润滑关节轴承织物衬垫拉压性能数值模拟与实验研究[D].秦皇岛:燕山大学,2014.ZHANG Jiali.The numerical simulation and experimental study of the tensile and compressive properties of self-lubricationg bearings fabric liner[D].Qinhuangdao:Yanshan University,2014(in Chinese).
[6]霍亚军.向心关节轴承摩擦磨损性能仿真及试验分析[D].上海:上海交通大学,2015.HUO Yajun.Spherical plain bearing and wear simulation and experimental analysis[D].Shanghai:Shanghai Jiao Tong University,2015(in Chinese).
[7]刘召磊,沈雪瑾.自润滑关节轴承斜纹织物衬垫弹性性能的分析模型[J].机械工程材料,2011,35(5):96-100.LIU Zhaolei,SHEN Xuejin.Analysis model of elastic properties of self-lubricating joint bearing twill fabric liner[J].Mechanical Engineering Materials,2011,35(5):96-100(in Chinese).
[8] HUANG Z M.Fatigue life prediction of a woven fabric composite subjected to biaxial cyclic loads[J].Composites Part A:Applied Science&Manufacturing,2002,33(2):253-266.
[9] XIA Z,ZHOU C,YONG Q,et al.On selection of repeated unit cell model and application of unified periodic boundary conditions in micro-mechanical analysis of composites[J].International Journal of Solids&Structures,2006,43(2):266-278.
[10]徐焜,许希武.三维编织复合材料弹性性能数值预测及细观应力分析[J].复合材料学报,2007,24(3):178-185.XU Kun,XU Xiwu.Numerical simulation of elastic properties of three-dimensional braided composites and mesoscopic stress analysis[J].Acta Materiae Compositae Sinica,2007,24(3):178-185(in Chinese).
[11] LIM T C.Elastic stiffness of three-phase composites by the generalized mechanics-of-materials(GMM)approach[J].Journal of Thermoplastic Composite Materials,2002,15(2):155-167.
[12] VANDEURZEN P,IVENS J,VERPOEST I A.Three-dimensional micromechanical analysis of woven-fabric composites:I—Geometric analysis[J].Composites Science&Technology,1996,56(11):1303-1315.
[13]王瑞,王建坤,武玲.平纹织物复合材料的弹性模量预测[J].复合材料学报,2002,19(1):90-94.WANG Rui,WANG Jiankun,WU Lin.Elastic modulus prediction of plain weave fabric composites[J].Acta Materiae Compositae Sinica,2002,19(1):90-94(in Chinese).
[14]陈继刚,薛亚红,邱红亮.芳纶/聚四氟乙烯纤维织物衬垫力学建模与性能计算[J].纺织学报,2015,36(1):82-87.CHEN Jigang,XUE Yahong,QIU Hongliang.Mechanical modeling and performance calculation of Kevlar/Teflon fabric insert[J].Journal of Textile Research,2015,36(1):82-87(in Chinese).
[15]王新峰,周光明,周储伟,等.基于周期性边界条件的机织复合材料多尺度分析[J].南京航空航天大学学报,2005,37(6):730-735.WANG Xinfeng,ZHOU Guangming,ZHOU Chuwei,et al.Multi-scale analyses of woven composite based on periodical boundary condition[J].Journal of Nanjing University of Aeronautics and Astronautics,2005,37(6):730-735(in Chinese).
[16]王占山,吕利叶,张佳丽,等.聚四氟乙烯/芳纶破斜纹织物衬垫拉伸性能数值仿真[J].纺织学报,2016,37(7):71-76.WANG Zhanshan,LV Liye,ZHANG Jiali,et al.Numerical simulation of tensile properties of polytetrafluoroethylene/Kevlar broken twill fabric liner[J].Journal of Textile Research,2016,37(7):71-76(in Chinese).
[17] LU J,QIU M,LI Y.Wear models and mechanical analysis of PTFE-Kevlar fabric woven liners used in radial spherical plain bearings[J].Wear,2016,364-365:57-72.
[18] LEE S K,BYUN J H,HONG S H.Effect of fiber geometry on the elastic constants of the plain woven fabric reinforced aluminum matrix composites[J].Materials Science&Engineering A,2003,347(1):346-358.
[19] LI Y T,MOURITZ A P,BANNISTER M K.3Dfibre reinforced polymer composites[M].Kidlington:Elsevier Science Ltd,2002:219-236.
[20] SHEN X Y,GAO P D,LIU Z L,et al.Elastic properties of the fabric liner and their influence on the wear depth of the spherical plain bearing[J].Journal of Nanomaterials,2014,2014(1):1-7.
[2]杨育林,谷大鹏,范兵利,等.载荷对Kevlar/PTFE纤维混杂织物摩擦学性能的影响[J].燕山大学学报,2011,35(6):476-480.YANG Yulin,GU Dapeng,FANG Bingli,et al.Influence of loads on tribological properties of hybrid Kevlar/PTFE fabric[J].Journal of Yanshan University,2011,35(6):476-480(in Chinese).
[3]杨育林,祖大磊,黄世军.自润滑关节轴承现状及发展[J].轴承,2009(1):58-61.YANG Yulin,ZU Dalei,HUANG Shijun.Current status and development of self-lubricating spherical plain bearings[J].Bearing,2009(1):58-61(in Chinese).
[4]沈雪瑾,曹磊,陈有光,等.织物衬垫自润滑关节轴承的研究现状与展望[J].轴承,2009(3):57-61.SHENG Xuejin, CAO Lei, CHEN Youguang, et al.Research status and prospect of spherical plain bearings with serf-lubricating fabric liner[J].Bearing,2009(3):57-61(in Chinese).
[5]张佳丽.自润滑关节轴承织物衬垫拉压性能数值模拟与实验研究[D].秦皇岛:燕山大学,2014.ZHANG Jiali.The numerical simulation and experimental study of the tensile and compressive properties of self-lubricationg bearings fabric liner[D].Qinhuangdao:Yanshan University,2014(in Chinese).
[6]霍亚军.向心关节轴承摩擦磨损性能仿真及试验分析[D].上海:上海交通大学,2015.HUO Yajun.Spherical plain bearing and wear simulation and experimental analysis[D].Shanghai:Shanghai Jiao Tong University,2015(in Chinese).
[7]刘召磊,沈雪瑾.自润滑关节轴承斜纹织物衬垫弹性性能的分析模型[J].机械工程材料,2011,35(5):96-100.LIU Zhaolei,SHEN Xuejin.Analysis model of elastic properties of self-lubricating joint bearing twill fabric liner[J].Mechanical Engineering Materials,2011,35(5):96-100(in Chinese).
[8] HUANG Z M.Fatigue life prediction of a woven fabric composite subjected to biaxial cyclic loads[J].Composites Part A:Applied Science&Manufacturing,2002,33(2):253-266.
[9] XIA Z,ZHOU C,YONG Q,et al.On selection of repeated unit cell model and application of unified periodic boundary conditions in micro-mechanical analysis of composites[J].International Journal of Solids&Structures,2006,43(2):266-278.
[10]徐焜,许希武.三维编织复合材料弹性性能数值预测及细观应力分析[J].复合材料学报,2007,24(3):178-185.XU Kun,XU Xiwu.Numerical simulation of elastic properties of three-dimensional braided composites and mesoscopic stress analysis[J].Acta Materiae Compositae Sinica,2007,24(3):178-185(in Chinese).
[11] LIM T C.Elastic stiffness of three-phase composites by the generalized mechanics-of-materials(GMM)approach[J].Journal of Thermoplastic Composite Materials,2002,15(2):155-167.
[12] VANDEURZEN P,IVENS J,VERPOEST I A.Three-dimensional micromechanical analysis of woven-fabric composites:I—Geometric analysis[J].Composites Science&Technology,1996,56(11):1303-1315.
[13]王瑞,王建坤,武玲.平纹织物复合材料的弹性模量预测[J].复合材料学报,2002,19(1):90-94.WANG Rui,WANG Jiankun,WU Lin.Elastic modulus prediction of plain weave fabric composites[J].Acta Materiae Compositae Sinica,2002,19(1):90-94(in Chinese).
[14]陈继刚,薛亚红,邱红亮.芳纶/聚四氟乙烯纤维织物衬垫力学建模与性能计算[J].纺织学报,2015,36(1):82-87.CHEN Jigang,XUE Yahong,QIU Hongliang.Mechanical modeling and performance calculation of Kevlar/Teflon fabric insert[J].Journal of Textile Research,2015,36(1):82-87(in Chinese).
[15]王新峰,周光明,周储伟,等.基于周期性边界条件的机织复合材料多尺度分析[J].南京航空航天大学学报,2005,37(6):730-735.WANG Xinfeng,ZHOU Guangming,ZHOU Chuwei,et al.Multi-scale analyses of woven composite based on periodical boundary condition[J].Journal of Nanjing University of Aeronautics and Astronautics,2005,37(6):730-735(in Chinese).
[16]王占山,吕利叶,张佳丽,等.聚四氟乙烯/芳纶破斜纹织物衬垫拉伸性能数值仿真[J].纺织学报,2016,37(7):71-76.WANG Zhanshan,LV Liye,ZHANG Jiali,et al.Numerical simulation of tensile properties of polytetrafluoroethylene/Kevlar broken twill fabric liner[J].Journal of Textile Research,2016,37(7):71-76(in Chinese).
[17] LU J,QIU M,LI Y.Wear models and mechanical analysis of PTFE-Kevlar fabric woven liners used in radial spherical plain bearings[J].Wear,2016,364-365:57-72.
[18] LEE S K,BYUN J H,HONG S H.Effect of fiber geometry on the elastic constants of the plain woven fabric reinforced aluminum matrix composites[J].Materials Science&Engineering A,2003,347(1):346-358.
[19] LI Y T,MOURITZ A P,BANNISTER M K.3Dfibre reinforced polymer composites[M].Kidlington:Elsevier Science Ltd,2002:219-236.
[20] SHEN X Y,GAO P D,LIU Z L,et al.Elastic properties of the fabric liner and their influence on the wear depth of the spherical plain bearing[J].Journal of Nanomaterials,2014,2014(1):1-7.