This paper investigates the influence of the material properties on the deceleration dynamics of a deformable cylinder rolling with slipping on a half-space of the same material. The interaction of the cylinder and the half-space is described by the 2D quasistatic contact problem of viscoelasticity (Goryacheva: J Appl Math Mech 37(5):877–885, 1973; Contact mechanics in tribology. Kluwer, Dordrecht 1998) which includes as limiting cases the absolutely rigid and elastic materials. Full dynamical analysis of the problem including the phase portrait, the dependence of the deceleration distance on the mechanical properties of the contacting bodies and on the friction coefficient is provided. The qualitative features of deceleration are justified by asymptotic analysis.

中文翻译：

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接触体力学性能对滚动圆柱体动力学的影响

本文研究了材料特性对在相同材料的半空间上滑动的可变形圆柱体的减速动力学的影响。圆柱体和半空间的相互作用由粘弹性的 2D 准静态接触问题描述（Goryacheva：J Appl Math Mech 37(5):877–885, 1973；接触力学中的摩擦学。Kluwer, Dordrecht 1998），其中包括作为极限情况，绝对刚性和弹性材料。提供了问题的完整动力学分析，包括相图、减速距离对接触体机械性能和摩擦系数的依赖性。渐近分析证明了减速的定性特征是合理的。