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

• Main Authors: Wiesław Grzesikiewicz, Artur Zbiciak
• Format: Article
• Language: English
• Published: Hindawi Limited 2018-01-01
• Series: Shock and Vibration
• Online Access: http://dx.doi.org/10.1155/2018/8675016

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.