计算机集成制造系统 ›› 2015, Vol. 21 ›› Issue (第8期): 2108-2115.DOI: 10.13196/j.cims.2015.08.016

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固定结合面切向接触刚度通用性建模方法

李玲1,蔡力钢2,蔡安江1,褚崴1   

  1. 1.西安建筑科技大学机电工程学院
    2.北京工业大学机电学院
  • 出版日期:2015-08-31 发布日期:2015-08-31
  • 基金资助:
    国家自然科学基金资助项目(51305327,51475352);高等学校博士学科点专项科研基金资助项目(20136120120020);陕西省教育厅科研计划资助项目(2013JK1033)。

Universal modeling method for tangential stiffness of fixed joint interfaces

  • Online:2015-08-31 Published:2015-08-31
  • Supported by:
    Project supported by the National Natural Science Foundation,China(No.51305327,51475352),the Secialized Research Fund for the Doctoral Program of Higher Education,China(No.20136120120020),and the Scientific Research Program Funded by Shaanxi Provincial Education Department,China(No.2013JK1033).

摘要: 为准确反映固定结合面的动态特性,将结合面简化为一个粗糙表面与一个刚性平面的接触问题,并假设接触区附近的两接触体为弹性半空间,利用分形理论建立具有通用性的结合面切向接触刚度模型。该模型通过数值分析表明:无论是同种材料还是异种材料,结合面切向接触刚度随法向力的增加而增加;当分形维数1<D<1.5时,结合面切向接触刚度与法向力具有较明显的非线性关系;当1.5≤D<2时,两者为近似线性关系;当1<D≤1.7时,结合面切向接触刚度随着分形维数的增加而增加;当1.7<D<2时,随着分形维数的增加,结合面切向接触刚度随之减小;当分形维数一定(1<D<2)时,结合面切向接触刚度随着分形粗糙度的降低而增加。

关键词: 固定结合面, 切向接触刚度, 通用性模型, 分形理论

Abstract: To reflect the dynamic features of fixed joint interfaces,a universal model of tangential contact stiffness for joint interfaces was put forward by using fractal theory,which was assumed by a flat rigid surface and a deformed rough counter-surface and in contact with the elastic half-space.The numerical simulation results indicated that the fixed joint interfaces tangential contact stiffness was increased with normal load increasing.The nonlinear and linear relationships were existed between the fixed joint interfaces tangential contact stiffness and normal load when 1<D<1.5 and 1.5≤D<2 respectively.The fixed joint interfaces tangential contact stiffness was increased with fractal dimension increasing when 1<D≤1.7.However,the fixed joint interfaces tangential contact stiffness was decreased with fractal dimension increasing when 1.7<D<2.When the fractal dimension was constant (1<D<2),the fixed joint interfaces tangential contact stiffness was increased with fractal roughness parameter decreasing.

Key words: fixed joint interfaces, tangential contact stiffness, universal model, fractal theory

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