Abstract
A numerical algorithm for predicting fretting wear was developed using the boundary element method (BEM). A contact analysis was performed numerically using the relation between the elastic displacement and uniformly distributed loading of a rectangular patch on a semi-infinite solid. Geometrical updating based on nodal wear depths was performed. The wear depths were computed using the Archard's equation for sliding wear. In order to investigate the efficiency of BEM for predicting fretting wear, a problem involving a two-dimensional cylinder on a flat contact was analyzed, comparing it with the simulation model proposed by McColl et al. that was based on the finite element method. The developed method was then applied to the analysis of a spherical contact and it was shown that the developed simulation technique could efficiently predict fretting wear. Moreover, the effect of a step cycle on the solution obtained by the developed method was investigated.
본 연구에서는 경제요소법을 이용한 프레팅 마멸 예측을 위한 수치적 알고리즘을 개발하였다. 반무한체 해석을 통해 사각조각면위의 균일분포하중과 탄성변형량의 관계로부터 접촉 계면의 응력을 계산하였고 Archard wear 모델을 이용해 각 격자의 마멸 깊이를 계산하여 접촉면의 형상을 예측할 수 있는 알고리즘을 제시하였다. 본 연구의 정확성을 검증하기 위해 McColl 등의 연구와 비교하였고 개발된 알고리즘을 구접촉 모델에 확장하여 그 유용성을 확인하였다. 아울러 프레팅 해석의 효율적인 계산을 위해 한 step당 사이클 증가량인 step cycle이 해의 정확성에 미치는 영향을 검토하여 step cycle 설정의 중요성을 제시하였다.