Relaxation damping in oscillating contacts.
Relaxation damping in oscillating contacts.
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DOI：
10.1038/srep16189
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发表时间：
2015-11-09
影响因子：
4.6
通讯作者：
Pohrt R
中科院分区：
文献类型：
--
作者：
Popov M;Popov VL;Pohrt R
如果两个没有滑动的纯弹性体（摩擦系数无穷大）的接触在法向和切向方向上受到叠加振荡，则出现特定的阻尼，这与材料中的摩擦或耗散无关。我们称这种效应为“弛豫阻尼”。对于任意轴对称接触，以封闭的解析形式计算了松弛阻尼引起的能量耗散率。在法向振动和切向振动频率相等的情况下，每周期耗散的能量与切向振动振幅的平方和法向振动振幅的绝对值成正比，并取决于两个振动之间的相移。在低频切向振荡与叠加的高频法向振荡的情况下，耗散与频率的比率成比例。宏观平面，随机粗糙表面以及有限摩擦的情况下的结果的推广进行了讨论。
If a contact of two purely elastic bodies with no sliding (infinite coefficient of friction) is subjected to superimposed oscillations in the normal and tangential directions, then a specific damping appears, that is not dependent on friction or dissipation in the material. We call this effect “relaxation damping”. The rate of energy dissipation due to relaxation damping is calculated in a closed analytic form for arbitrary axially-symmetric contacts. In the case of equal frequency of normal and tangential oscillations, the dissipated energy per cycle is proportional to the square of the amplitude of tangential oscillation and to the absolute value of the amplitude of normal oscillation, and is dependent on the phase shift between both oscillations. In the case of low frequency tangential oscillations with superimposed high frequency normal oscillations, the dissipation is proportional to the ratio of the frequencies. Generalization of the results for macroscopically planar, randomly rough surfaces as well as for the case of finite friction is discussed.