An interference fit is a fastening between two parts which is achieved by friction after the parts are pushed together, rather than by any other means of fastening. A fit is depending on which part has its size controlled to determine the fit. To select an amount of interference see KS standard tables for class from light to heavy drive fits. The aim of this paper is to find the optimal gap under the interference fit with lowest contact pressure to the two cylinders. To accurately determine the amount of interference clearance, must consider the fluctuation of the response parameters such as contact pressure, displacements and stresses. The response of the cylinder system is modelled with the probabilistic finite element method using the Monte Carlo simulation. The probabilistic design is carried out using ANSYS probabilistic design software. And then the optimal design of the interference gap is sequentially solved to find the solution. The practical optimal design is proposed for the design of the interference fit system. The numerical results are obtained where the displacements and stresses treated as constraints.

In a total hip arthroplasty, the artificial hip joint is composed of an acetabular cup and a femoral head. To minimize the wear of the joint, the bearing surface should be precisely spherical. There were concerns that the press-fitting of the acetabular cup to the pelvis may cause the deformation of the cup and accelerate the wear of the joint, but its in-vivo measurement was challenging. In this paper, 3 dimensional finite element(FE) models of a pelvis and acetabular cups of Metasul 50mm and Pinnacle 50-60mm cups were used to simulate the deformation of the acetabular cups. For Metasul cups, the change of inner radius with respect to the location and the maximum shrinkage of the inner radius were found. For the Pinnacle cups, maximum change of the outer diameter were found and compared with the literature. FE model showed that the maximum shrinkage of the inner radius of the Metasul cup was 23μm (1.0mm press-fit, Bone stiffness 17GPa case). The shrinkage occurred mainly on the anterior and posterior side of rim of the cup, and the amount was proportional to the press-fit amount. The diametric change of the Pinnacle cup was 0.16mm on average, which was in same range of the clinically reported value. In conclusion, under the normal condition the reduction of the inner radius of the Metasul cup was too small to cause the jamming or the excessive wear.