Features of dynamic processes in the “indentor – coating” system during tests on a tribometer

I. Kolesnikov, P. Koropets, D. Manturov, Ye. V. Shakhmatov
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Abstract

The features of a nonlinear model of the indenter-coating tribosystem of a tribometer are considered. It is shown that with an increase in the amplitude of harmonic perturbation, the dynamic system goes through the stage of doubling the cycle and passes into the regime of deterministic chaos. At the exit from chaos, it is possible to establish various synergistic regimes that stably retain their parameters even with a multiple decrease in the amplitude of the disturbance. A block diagram of the implementation of the evolutionary model is presented. As a result of the formation of equilibrium roughness, the motion of the system is a strange attractor. To substantiate the randomness of the strange attractor, an analysis of the amplitude-frequency characteristic of the ideal regenerative delay element with a gain factor less than unity, was carried out. The physical meaning of the strange attractor is that in a cyclic mode, a nonlinear dynamic system whose cycle time exceeds the period of natural oscillations by more than two orders of magnitude cannot come to the beginning of a new cycle with exactly the same parameters as to the beginning of the current cycle.
摩擦计测试过程中“压痕-涂层”系统动态过程的特征
考虑了摩擦计压头-涂层摩擦系统非线性模型的特点。结果表明,随着谐波摄动幅值的增大,动力系统经过周期加倍阶段,进入确定性混沌状态。在混乱的出口,有可能建立各种协同制度,稳定地保持其参数,即使在干扰的幅度多次下降。给出了进化模型实现的框图。由于平衡粗糙度的形成,系统的运动是一个奇异的吸引子。为了证实奇异吸引子的随机性,对增益因子小于1的理想再生延迟元件的幅频特性进行了分析。奇异吸引子的物理意义是,在循环模式中,一个周期时间超过自然振荡周期两个数量级以上的非线性动力系统,不可能以与当前周期起点完全相同的参数到达新周期的起点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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