Tangential elastic contact model of the cylindrical contact with different axis crossing angles

In this paper, a cylinder contact model with different axis crossing angles is proposed, and the axis crossing angle is introduced into the normal and tangential constitutive equations. This paper uses the method of formula derivation to establish the analytical solution of the tangential elastic contact of the cylinder with different axis cross angles, and gives the relational expression of the tangential load and the tangential displacement. The finite element method (FEM) is used to verify the tangential displacement load curve and the tangential stiffness curve of the two cylinders. The influence of various factors on mechanical properties such as tangential stiffness, tangential displacement and contact area is explored, and the distribution of stress and strain on the contact surface is analyzed. The research results show that the tangential displacement and tangential stiffness of the cylindrical contact model correspond well to the simulation results.