Volume 30 Issue 10
Oct.  2015
Turn off MathJax
Article Contents
LIU Chuang, CUI Hai-tao. Contact pressure analysis by using singular integral equation method[J]. Journal of Aerospace Power, 2015, 30(10): 2346-2351. doi: 10.13224/j.cnki.jasp.2015.10.007
Citation: LIU Chuang, CUI Hai-tao. Contact pressure analysis by using singular integral equation method[J]. Journal of Aerospace Power, 2015, 30(10): 2346-2351. doi: 10.13224/j.cnki.jasp.2015.10.007

Contact pressure analysis by using singular integral equation method

doi: 10.13224/j.cnki.jasp.2015.10.007
  • Received Date: 2014-03-25
  • Publish Date: 2015-10-28
  • The numerical solution of singular integral equation (SIE) was summarized, the 2nd type of SIE was solved by piece-wise continuous linear function procedurefor two elastic bodies contact, the SIE was deduced by correlating the slip function and gap function between the two bodies. The contact bodies include the cylinder contact with half space body, parabola shape indentor contact with half space body and tenon contact with mortise cases. These equations were solved by using the piece-wise continuous function method, then contact pressure on the contact surface was acquired. The results of SIE analysis were compared with those obtained from contact theory and finite element method (FEM) analysis. For cylinder contact with half space body, the maximum contact pressure of SIE method is compared with contact theory and FEM, the relative tolerance is 0.3% and 0.5% respectivelyfor tenon contact with mortise, the relative tolerance of maximum contact pressure between SIE method and FEM is 1.8%, proving the effectiveness and applicability of SIE method.

     

  • loading
  • [1]
    侯宗义,李明忠,张万国.奇异积分方程论及其应用[M].上海:上海科学技术出版社,1990.
    [2]
    高闯,汤任基.两项材料倾斜裂纹的界面应力场[J].上海交通大学学报,2001,35(5):1491-1496. GAO Chuang,TANG Renji.The interface stress fields of biomaterial incline crack[J].Journal of Shanghai Jiaotong University,2001,35(5):1491-1496.(in Chinese)
    [3]
    乐金朝,汤任基,王复明,等.双材料中平片裂纹问题的超奇异积分方程解法[J].应用力学学报,1999,16(4):1-6. YUE Jinchao,TANG Renji,WANG Fuming,et al.Method of hypersingular integral equations for planer crack subject to tension in biomaterial[J].Chinese Journal of Applied Mechanics,1999,16(4):1-6.(in Chinese)
    [4]
    Muskhelishvili N I.Singular integral equations[M].Groningen,Holland:Noordhoff Press,1953.
    [5]
    沈以淡.积分方程[M].北京:北京理工大学出版社,2002.
    [6]
    Erdogan F,Gupta G D.On the numerical solution of singular integral equations[J].Quarterly of Applied Mathematics,1972,30(3):525-534.
    [7]
    Krenk S.On the use of interpolation polynomial for solutions of singular integral equations[J].Quarterly of Applied Mathematics,1975,32(2):479-484.
    [8]
    Theocaris P S,Ioakimidis N I.Numerical integration methods for the solution of singular equations[J].Quarterly of Applied Mathematics,1975,35(1):173-183.
    [9]
    Ioakimidis N I.On convergence of two direct methods for solution of Cauchy-type singular integral equations of the first kind[J].Quarterly of Applied Mathematics,1980,20(1):83-87.
    [10]
    Russell D K,Farris T N,Sun C T.The numerical solution of Cauchy singular integral equations with application to fracture[J].International Journal of Fracture,1994,66(2):139-154.
    [11]
    黄社华,李炜,魏庆鼎.一类非线性奇异积分方程及其数值方法研究[J].计算力学学报,2002,19(2):166-172. HUANG Shehua,LI Wei,WEI Qingding.A numerical method of nonlinear integral equation with singularity[J].Chinese Journal of Computational Mechanics,2002,19(2):166-172.(in Chinese)
    [12]
    Gerasoulis A,Srivastav R P.A method for the numerical solution of singular integral equations with a principle value integral[J].International Journal of Engineering,1981,19(9):1293-1298.
    [13]
    刘军,刘道新,刘元镛,等.微动接触压力的有限元分析[J].机械强度,2005,27(4):504-509. LIU Jun,LIU Daoxin,LIU Yuanyong,et al.Finite element analysis for fretting contacting stress[J].Journal of Mechanical Strength,2005,27(4):504-509.(in Chinese)
    [14]
    吴艳华,郝艳华.燕尾榫连接结构ANSYS工作平台开发[J].航空发动机,2010,36(4):29-31. WU Yanhua,HAO Yanhua.Development of ANSYS platform for the dovetail joint structure[J].Aeroengine,2010,36(4):29-31.(in Chinese)
    [15]
    Rajeev P T,Farris T N.Numerical analysis of fretting contacts of dissimilar isotropic and anisotropic materials[J].Journal of Strain Analysis,2002,37(6):503-517.
    [16]
    Rajeev P T,Farris T N.Two dimensional contact of dissimilar/anisotropic matericals[R].AIAA-2001-1252,2001.
    [17]
    Ting T C.Anisotropic elasticity[M].New York:Oxford University Press,1996.
    [18]
    何明鉴.机械构件的微动疲劳[M].北京:国防工业出版社,1993.
    [19]
    Johnson K L.Contact mechanics[M].Cambridge:Cambridge University Press,1985.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1172) PDF downloads(743) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return