Implementation of Hertz Contact Theory and Validation of Applicability of Hertz Contact Stiffness Model for Helical Gear using Multi Body Dynamics

The aim of this work is to evaluate the Hertz contact stiffness or Linear contact stiffness of Helical Gears in dynamic conditions. The Hertz contact occurs when two solids come in contact like sphere on sphere, cylinder on cylinder, cylinder in a groove and many other curved general contacts. In gears the contact is usually cylinder on cylinder. The Hertz model considered for the study consists of two cylinders with a spring that establishes the contact. Also the Helical Gear is modelled using Adams Gear AT. The gear is simulated for required dynamic conditions to evaluate the linear contact stiffness by establishing the relation between the Contact forces, Contact stiffness and Penetration.