A Multistate Friction Model Described by Continuous Differential Equations
A Multistate Friction Model Described by Continuous Differential Equations
复制标题
连续微分方程描述的多态摩擦模型
DOI：
10.1007/s11249-013-0187-x
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发表时间：
2013
期刊：
影响因子：
3.2
通讯作者：
Xiaogang Xiong，Ryo Kikuuwe，Motoji Yamamoto
中科院分区：
文献类型：
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作者：
Xiaogang Xiong;Ryo Kikuuwe;and Motoji Yamamoto;島本純也，徳田献一;Xiaogang Xiong，Ryo Kikuuwe，Motoji Yamamoto
本文提出了一个由微分代数包含导出的多状态摩擦模型。该模型被描述为一组连续的微分方程，描述了在一个统一的表达式的预滑动和滑动制度。它再现了文献中报道的摩擦现象的主要特征，如Stribeck效应，nondriving属性，粘滑振荡，presliding滞后与非局部记忆，和摩擦滞后。此外，新的模型不会产生无界的位置漂移或非光滑的力量，这是以前的模型，由于在处理预滑动和滑动制度之间的过渡的数学困难的主要问题。通过与文献中的经验结果进行比较，验证了模型的有效性。
This paper proposes a multistate friction model derived from a set of differential-algebraic inclusions. This model is described as a set of continuous differential equations that describe both the presliding and sliding regimes in a unified expression. It reproduces major features of friction phenomena reported in the literature, such as the Stribeck effect, nondrifting property, stick–slip oscillation, presliding hysteresis with nonlocal memory, and frictional lag. Moreover, the new model does not produce unbounded positional drift or nonsmooth forces, which are major problems of previous models due to the mathematical difficulty in dealing with transitions between the presliding and sliding regimes. The model is validated through comparison between its simulation results and empirical results in the literature.