English

应用科学学报 ›› 1992, Vol. 10 ›› Issue (3): 279-282.

• 研究简报 • 上一篇    

粘弹性体无摩擦滚动接触问题的算法与分析

唐国安1, 浦奎英2   

  1. 1. 复旦大学;
    2. 上海正泰橡胶厂
  • 收稿日期:1990-05-05 修回日期:1991-08-07 出版日期:1992-09-30 发布日期:1992-09-30

METHOD AND ANALYSIS FOR THE ROLLING CONTACT PROBLEM OF A VISCOELASTO CYLINDER

TANG GUOAN1, PU KUIYING2   

  1. 1. Fudan University;
    2. Tesn Tai Rubber Factory
  • Received:1990-05-05 Revised:1991-08-07 Online:1992-09-30 Published:1992-09-30

PDF

71

被引次数

1

摘要： 作者曾研究过粘弹性圆柱的滚动接触问题[1].研究中考虑了一般的线性粘弹性材料(标准线性粘弹性模型).为了便于方法的分析,本文将取其特例(Voigt型粘弹性模型)作为研究对象.

关键词: 滚动接触, 粘弹性, 变分不等方程

Abstract: The rolling contact problem of a visooelastic cylinder is studied in the paper. This problem is governed by a variational inequality equation, (Kg, r-g) ≥ 0 for any r in convex set K⊂Rn. Unlike that in the case of elastic media, the stiffness matrix K is composed of a positive definite matrix and an anti-symmetric matrix. The authors first prove some useful properties about the solution of the equation, and then provide a numerical solution scheme to solve this equation.

Key words: visooelastioity, rolling contact, variational inequality equation