LU Zhi-hua, YE Qing-tai. A New Satic Mechanics Model to Solve Contact Problems in Mechanical Systems[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1203-1210.
Citation: LU Zhi-hua, YE Qing-tai. A New Satic Mechanics Model to Solve Contact Problems in Mechanical Systems[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1203-1210.

A New Satic Mechanics Model to Solve Contact Problems in Mechanical Systems

  • Received Date: 2002-12-11
  • Rev Recd Date: 2004-06-20
  • Publish Date: 2004-11-15
  • The coupling of the local contact problems between the components and the deformation of the components in the mechanical system were discovered. A series of coordinate systems have been founded to describe the mechanical system with the contact problems. The method of isolating the boundary of contact body from others has been used to describe the constraint between the contacting points. A more generalized static mechanics model of the mechanical system with the contact problems has been founded through the principle of virtual work. As an application, the model was used to study the multi-teeth engagement problems in the inner meshed planet gear systems. The stress distribution of contact gears was got. A test has verified that the static contact model and the computational method are right.
  • loading
  • [1]
    李润方,龚剑霞.接触问题数值计算方法及其在机械设计中的应用[M].重庆:重庆大学出版社,1989.
    [2]
    Klarbring A.A mathematical programming approach to three-dimensional contact problems with friction[J].Computer Methods in Applied Mechanics and Engineering,1986,58(3):175—200. doi: 10.1016/0045-7825(86)90095-2
    [3]
    Holmberg G.A solution scheme for three-dimensional multi-body contact problems with friction using mathematical programming[J].Computers & Structures,1990,37(4):503—514.
    [4]
    陈国庆,陈万吉,冯恩民.三维接触问题的非线性互补原理及算法[J].中国科学 A辑,1995,25(11):1181—1190.
    [5]
    吕和祥,马莉颍.三维接触问题的拟二维序列解法[J].固体力学学报,1996,17(1):31—37.
    [6]
    CHEN Wen-hwa,YEH Jyi-tyan.Finite element analysis of finite deformation contact problems with friction[J].Computers & Structures,1988,29(3):423—436.
    [7]
    何君毅,林祥都.工程结构非线性问题的数值解法[M].北京:国防工业出版社,1994.
    [8]
    ZHAO Hua.The virtual contact loading method for contact problems considering material and geometric nonlinearities[J].Computers & Structures,1996,58(3):631—632.
    [9]
    李光耀,钟志华.显示有限元方法求解二维壳体塑性大变形问题[J].工程力学,1997,14(3):78—87.
    [10]
    丁玉成,王建军,李润方.直齿轮接触有限元分析及轮齿热弹性变形[J].重庆大学学报,1987,4(2):1—9.
    [11]
    Shabana A A.Dynamics of Multibody Systems[M].John Weley & Sions Inc,1989.
    [12]
    陆志华.柔性多体机械系统中多区域接触问题理论建模及试验研究[D].博士学位论文.上海:上海交通大学,1999.
    [13]
    孙桓,傅则绍.机械原理[M].北京:高等教育出版社,1990.
  • 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 (2193) PDF downloads(810) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return