Mathematical Formulation of Soft-Contact Problems for Various Rheological Models of Damper

Abstract EN

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.