프로파일링을 한 원통형 로울러의 탄성유체윤활 (II)

Elastohydrodynamic Lubrication of a Profiled Cylindrical Roller (II)

본 연구에서는 완전히 불균일한 격자계를 사용하여 프로파일링을 한 원통형로 울러의 프로파일링 시작점 부근에서의 압력분포 및 유막형상과 함께 무차원변수의 변 화에 따른 최소유막의 거동을 상세히 조사하고자 한다. 이 결과에서 실제 로울리 베 어링의 로울러 프로파일의 설계시에 적용할 수 있는 새로운 기준을 제시하고자 한다.

A new numerical solution of the elastohydrodynamic lubrication(EHL) problem of an axially profiled cylindrical roller is presented. A finite difference method and the Newton-Raphson method are used to solve the nonlinear system equations. A non-uniform grid system is adopted to reduce the number of grid points and to obtain accurate solution. For two different types of profiles which have similar elastostatic pressure distribution, the EHL results show large differences. Especially the difference in film shape is larger than in pressure distribution. Therefore, the magnitude of the minimum film thickness should be a major criteria to design the axial profile of the roller. Variations of the minimum film thickness with dimensionless parameters show considerably different behavior from those of infinite solution and show a good agreement with the experimental data in literatures. Present numerical scheme can be used generally in the analysis of three-dimensional EHL problem.