GENERAL SOLUTION OF THE DYNAMICS OF A VISCOELASTIC IMPACT BETWEEN A SPHERICAL BODY AND A PLANE SURFACE OF SEMI-SPACE

The brief analysis the problems of an elastic and a viscoelastic contact have been given. The general solution of the dynamics of viscoelastic impact between a spherical body and a plane surface of semi-space at an arbitrary angle of attack has been examined in this paper. Solutions to problems of the normal and the tangential displacement have been considered. The differential equations of the displacement (the movement) of the centre of mass of the body have been obtained and their approximate solutions have been found. Also, the boundaries of application of the obtained equations of displacement for the viscoelastic contact have been given.

Keywords

viscoelastic impact, parameters viscoelasticity, viscoelastic forces, dynamic modules, method specific forces, equivalent work, restitution, compression, the motion of rolling shear, movement, motion differential equations, the headway (the translational) motion under the deformation of direct shear

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