Based on Hertz contact theory, an elastic-plastic contact mechanics model of outer cylinder under different contact angles of axis is proposed. The relationship among contact angle, load and contact deformation, contact stiffness and contact area is established. The finite element method is used to simulate the elastic-plastic contact process of the cylinder. The influence of the load and radius of the cylinder model on the contact deformation and the contact stiffness is compared and analyzed under different contact angles. The error of the analysis results of the finite element and the mechanical model is within 9%. On this basis, the influence of contact deformation, contact area and contact angle on the contact stiffness of the outer cylinder in elastic and plastic stage is explored. The results show that in the stage of elastic and plastic deformation, the amount of contact deformation and contact area increase with the increase of load. The contact stiffness decreases with the increase of contact angle and increases with the increase of cylinder radius. The amount of contact deformation decreases with the increase of cylinder radius, and tends to constant gradually. In the elastic stage, the contact stiffness increases with the increase of load. The contact area decreases with the increase of contact angle and increases with the increase of cylinder radius. In the plastic stage, the contact stiffness is constant with the increase of load, and the contact area is independent of contact angle and cylinder radius.

基于赫兹接触理论，提出了不同轴接触角下外筒弹塑性接触力学模型。建立了接触角、载荷和接触变形、接触刚度和接触面积之间的关系。采用有限元方法模拟了圆柱体的弹塑性接触过程。对比分析了不同接触角下圆柱模型的载荷和半径对接触变形和接触刚度的影响。有限元与力学模型分析结果误差在9%以内。在此基础上，探讨了接触变形、接触面积和接触角对外筒弹塑性阶段接触刚度的影响。结果表明，在弹塑性变形阶段，接触变形量和接触面积随着载荷的增大而增大。接触刚度随接触角的增大而减小，随圆柱半径的增大而增大。接触变形量随着圆柱半径的增大而减小，并逐渐趋于恒定。在弹性阶段，接触刚度随着载荷的增加而增加。接触面积随着接触角的增大而减小，随着圆柱半径的增大而增大。在塑性阶段，接触刚度随载荷的增加而恒定，接触面积与接触角和圆柱半径无关。