圆锥结合面接触刚度三维分形数学模型的构建

Construction of Three-Dimensional Fractal Theoretical Model of Contact Stiffness of Conical Joint Surface

圆锥过盈连接是一种常见的连接方式,它能够承受大的轴向载荷和弯曲载荷,具有良好的刚度和承载能力,因此被广泛应用于工程实际中。针对圆锥结合面二维分形模型不能反映出圆锥结合面实际情况之间的接触问题,建立圆锥结合面三维分形模型,该模型首先建立圆锥形结合面接触系数,并考虑引入摩擦系数与微凸体在弹性变形阶段、塑性变形阶段和完全塑性变形阶段时,分别建立圆锥结合面法向载荷模型、法向接触刚度模型和切向接触刚度模型,以更符合圆锥结合面实际的接触情况,研究结果对圆锥过盈连接的设计提供理论参考。

Conical interference connection is a common connection method.It can withstand large axial load and bending load,and has good stiffness and bearing capacity.Therefore,it is widely used in engineering practice.Because the two-dimensional fractal model of the cone joint surface cannot reflect the contact problem between the actual conditions of the cone joint surface.Therefore,this paper considers the establishment of a three-dimensional fractal model of the conical joint surface.The model first establishes the contact coefficient of the conical joint surface,and considers the introduction of the friction coefficient and the asperity in the elastic deformation stage,the plastic deformation stage and the complete plastic deformation stage.The normal load model,the normal contact stiffness model and the tangential contact stiffness model of the conical joint surface are established respectively to better meet the actual contact situation of the conical joint surface.The research results provide a theoretical reference for the design of the conical interference connection.