Abstract
The paper deals with analysis of selected soft‐contact problems in discrete mechanical systems. Elastic‐dissipative rheological schemes representing dampers as well as the notion of unilateral constraints were used in order to model interaction between colliding bodies. The mathematical descriptions of soft‐contact problems involving variational inequalities are presented. The main finding of the paper is a method of description of soft‐contact phenomenon between rigid object and deformable rheological structure by the system of explicit nonlinear differential‐algebraic equations easy for numerical implementation. The results of simulations, that is, time histories of displacements and contact forces as well as hysteretic loops, are presented.
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