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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


The Models with Impact Deformations

Discontinuity, Nonlinearity, and Complexity 4(1) (2016) 49--78 | DOI:10.5890/DNC.2016.03.005

M. U. Akhmet; A. Kıvılcım

Department of Mathematics, Middle East Technical University, 06800, Ankara, Turkey

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Abstract

We consider mechanisms with impact deformations such that colliding parts are deformable and the Newton’s coefficient of restitution is variable. It is shown how a system with impact deformations can replace the KelvinVoigt viscoelastic model in analysis of a mechanism with contact motion. The suggested impact deformations are compared with the experimental data. By applying deformable surfaces of contacts and non-constant coeffi- cients of restitution, we suppress the chattering in two different mechanical models. We have investigated the existence and stability of periodic solutions in mechanisms with contacts. To actualize the theoretical results, extended examples with simulations are presented.

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