Abstract

There is inevitably an angular offset during contact of mechanical structures such as roller bearings or gears. Most of the previous contact models involve the contact between two parallel cylinders. This paper introduces the angle parameter into the model constitutive relation for the first time. A new cylindrical contact model is proposed to simulate the contact at different angles. In this paper, a cylinder contact model with different axis crossing angles is proposed. The load-displacement curves of the contact model during loading and unloading are provided via theoretical derivation of the normal and tangential contact processes of the contact model. On this basis, the hysteresis curve model of the contact model is established. Through finite element modeling and finite element analysis, the cylinder hysteresis curve models under different axis crossing angles are verified. Compared to other common models, the energy dissipation of the cylindrical model is higher. By introducing the angle parameters into the model constitutive, it provides ideas for solving the macro contact problems such as cylindrical gear contact and rolling bearing. At the same time, on the micro-contact problem, it provides a theoretical basis for the tangential contact process of the regular joint surface.

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