Abstract
The complex motion from a point contact has as consequence the occurrence of a friction torsor within both spinning and rolling friction exist. Additionally, recent researches showed that the two friction moments, spinning and rolling torques, are not proportional to the normal force. Here, the power law dependency is accepted and therefore, besides the coefficients of spinning and rolling friction, the exponents from the relations friction torque-normal force should be first determined. The paper proposes as method for finding the four parameters the use of the inclined plane principle. The acceleration of a revolution body in descending motion on the inclined plane is found for four different values of the tilting angle and a system of four equations is obtained. The detailed procedure of finding the solutions of the system is presented in the present paper.
Highlights
The Hertzian type contacts are frequently met in machine building in diverse systems such as: cam mechanisms, gear transmissions, elasto-hydrodynamic variators etc. These mechanical contacts are characterized by the existence between the two bodies of a sliding motion described by the sliding velocity val, contained in the common tangent plane ( P ) and a rotation motion, the last described by the relative angular velocity with a component about the common normal - the spinning angular velocity s, and another component contained in the tangent plane – the rolling angular velocity r
The dynamical treatises accept, in a first approximation, analogous to the case of sliding friction, that both the spinning and rolling friction torque are proportional to the normal force from the contact N, the proportionality factors being the coefficient of spinning friction ss and the coefficient of rolling friction sr respectively: M s ssN
Recent papers based on elements from the theory of elasticity conclude that the spinning friction torque Popov [4] and the rolling friction torque Chjerepanov [5] present a dependency on the normal force of power law type, : M s ss N s
Summary
The Hertzian type contacts are frequently met in machine building in diverse systems such as: cam mechanisms, gear transmissions, elasto-hydrodynamic variators etc. Recent papers based on elements from the theory of elasticity conclude that the spinning friction torque Popov [4] and the rolling friction torque Chjerepanov [5] present a dependency on the normal force of power law type, :. Under this power-law dependency the tribological and energetically study is obviously more complicated given that the coefficients ss and sr must be found, and the exponents s and r from the relations 3 and 4. Assuming non-linear dependence between the friction torques and the normal force, the relations 3 and 4, the principle of superposition from linear elasticity cannot be applied and there are required experimental techniques which allow for simultaneous finding of the characteristic friction parameters of spinning and rolling
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