THE METHOD OF CHRISTOPHERSON FOR SOLVING FREE BOUNDARY PROBLEMS FOR INFINITE JOURNAL BEARINGS BY MEANS OF FINITE DIFFERENCES.

Abstract

A method for solving free boundary problems for journal bearings by means of finite differences has been proposed by Christopherson. The paper analyses Christopherson's method in detail for the case of an infinite journal bearing. First it is shown that the discrete approximation is accurate to O((delta t) squared) where delta t is the stepsize. Next it is shown that the discrete problem is equivalent to a quadratic programming problem. Then the iterative method for computing the discrete approximation is analysed. Finally, some numerical results are given.

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1969
Accession Number
AD0701681

Entities

People

  • Colin Walker Cryer

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Bearings
  • Boundaries
  • Computer Programming
  • Journal Bearings
  • Quadratic Programming

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).