提出了两个圆锥体之间无摩擦弹性接触时接触压力计算的一种数值方法.所提出的方法既能计算两锥体接触时的实际接触压力分布,又能计算各接触点上不同的接触刚度、综合曲率半径及接触压力分布.接触变形后的倾斜角和合力作用点的位置也能计算.为了减小圆锥体端部的边缘压力集中,还给出了凸度优化设计的方法和算例. A numerical method is proposed to calculate the contact pressure between two conical parts without friction. The proposed method not only can calculate the actual contact pressure distribution when the two cones contact, but also can calculate the contact of different contacts Stiffness, radius of comprehensive curvature and contact pressure distribution.The tilt angle and the position of the resultant force contact point after contact deformation can also be calculated.In order to reduce the edge pressure concentration at the end of the cone, the method of convex optimization design is also given example.