DYNAMICS OF A VISCOELASTIC COLLISION BETWEEN SMOOTH SURFACES TWO SPHERICAL SOLID BODIES

The dynamics of a viscoelastic collision between smooth surfaces two spherical solid bodies by the application of the “Method of the specific forces” have been given in the article, and the new conception for the definition of the elastic and the viscous forces in the common case of dynamics of a viscoelastic contact is proposed here by the further development of this method. The forces of viscosity and the for ces of elasticity can be found by integration of the specific forces acting inside an elementary volume of the contact zone. Also, the derivation of the integral equations of the viscoelastic forces, the equations for pressure in the contact is presented. Work and Energy in the phases of compression and restitution, and at the rolling shear have been derived. Approximate solutions for the differential equations of movement (displacement) by using the method of equivalent work have been derived. Equations fo r the normal contact stresses have been obtained. Also, equations for kinematic and dynamic parameters of the viscoelastic collision have been obtained in this article. Examples of the comparison of theoretical results and conclusions have been given in t he paper