Bifurcations from steady sliding to stick slip in boundary lubrication
Bifurcations from steady sliding to stick slip in boundary lubrication
复制标题
边界润滑中从稳定滑动到粘滑的分歧
DOI：
10.1103/physreve.57.4986
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
J. Carlson
中科院分区：
文献类型：
--
作者：
A. Batista;J. Carlson
我们探讨了在边界润滑模型中粘滑和稳定滑动之间的过渡性质。Carlson和A. A.巴蒂斯塔，物理学评论E 53，4153 ~1996！。该模型是基于速率和状态的方法，这已经非常成功地表征干界面@A的行为。Ruina，J. Geophys. Res. 88，10 359 ~1983！我们的模型捕捉到了与被几个润滑剂分子层隔开的表面相关的关键区别特征。在这里，我们发现，从稳定的滑动粘滑的过渡是典型的不连续，有时滞后。当观察到滞后时，它与亚临界Hopf分叉相关联。在这两种情况下，我们观察到一个突然的和不连续的发病振荡的振幅在分叉点。@S1063-651X~98！01605-5#
We explore the nature of the transitions between stick slip and steady sliding in models for boundary lubrication introduced in J. M. Carlson and A. A. Batista, Phys. Rev. E 53, 4153 ~1996!. The models are based on the rate and state approach which has been very successful in characterizing the behavior of dry interfaces @A. Ruina, J. Geophys. Res. 88, 10 359 ~1983!#. Our models capture the key distinguishing features associated with surfaces separated by a few molecular layers of lubricant. Here we find that the transition from steady sliding to stick slip is typically discontinuous and sometimes hysteretic. When hysteresis is observed it is associated with a subcritical Hopf bifurcation. In either case, we observe a sudden and discontinuous onset in the amplitude of oscillations at the bifurcation point. @S1063-651X~98!01605-5#