Numerical solution of the dynamic problem of elasticity for bodies with concentrated masses

On the basis of the virtual-displacement and the DAlembert principles, a new initial-boundary-value problem is formulated for the system of dynamic equilibrium equations of two bodies contacting with friction over a constant area. Their masses are assumed to be distributed with certain densities over the contact surfaces. An equivalent generalized problem is formulated. Classes of discontinuous functions of the finite-element method are used to construct computational schemes of high order of accuracy.__________Translated from Prikladnaya Mekhanika, Vol. 40, No. 12, pp. 65–75, December 2004.