Multibody Elastic Contact Analysis by Modified Linear Programming

수정된 선형계획법을 이용한 다물체 탄성 접촉 문제 해석

A general and efficient algorithm is proposed for the analyses of multibody elastic contact problems. It is presumed that there exists negligible friction between the bodies. It utilizes a simplex type algorithm with a modified entry rule and incoporates finite element method to obtain flexibility matrices for arbitrarily shaped bodies. The multibody contact problem of a vehicle support on an elastic foundation is considered first to show the effictiveness of the suggested algorithm. Its solution is compared favorably with the existing solution. A contact problem among inner race, rollers and outer race is analyzed and the distribution of load, rigid body movements and contact pressure distributions are obtained. The trend of contact characteristics is compared with that of the idealized Hertzian solutions for two separate two-body contact problems. The numerical results obtained by directly treating a multibody contact are believed to be more exact than the Hertzian solution for the idealized two separate two-body contact problems.

본 연구에서는 마찰을 무시할 수 있는 경우의 일반적인 다물체 탄성 접촉 문제를 수식화하고 이를 최적화 문제로 변환한 후 수정된 선형 계획법을 이용하여 임의 형상의 다물체간의 접촉 문제를 해석할 수 있는 산법을 제시하였다.