MECHANICAL STICK-SLIP VIBRATIONS
MECHANICAL STICK-SLIP VIBRATIONS
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DOI：
10.1142/s0218127495000508
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发表时间：
1995-06
影响因子：
2.2
通讯作者：
U. Galvanetto;S. Bishop;L. Briseghella
中科院分区：
文献类型：
--
作者：
U. Galvanetto;S. Bishop;L. Briseghella
在本文中，我们考虑的行为的两个自由度的机械系统，包括静态和动态摩擦，假设是一个相对滑动速度的递减函数。该模型由两个由弹簧连接的块体组成，弹簧骑在移动的带上。系统的动力学在四维相空间内描述。一个三维庞加莱映射一起讨论了一个简单的一维映射的标量变量。考虑到一维地图，它是可能的，以研究所有的吸引子系统的小带速度，包括建设的一维盆地的吸引。因此，尽管在控制相空间的一部分区域中，系统的全局动力学可以被表征为显示周期、准周期和混沌振荡。
In this paper we consider the behavior of a two degree-of-freedom mechanical system incorporating static and dynamic friction, assumed to be a decreasing function of the relative sliding velocity. The model consists of two blocks linked by springs, which ride upon a moving belt. The dynamics of the system are described within a four-dimensional phase space. A three-dimensional Poincare map is discussed together with a simpler one-dimensional map of a scalar variable. Considering the one-dimensional map it is possible to study all the attractors of the system for small belt velocities including the construction of one-dimensional basins of attraction. Thus, albeit in a partial zone of the control-phase space, the global dynamics of the system can be characterized displaying periodic, quasi-periodic and chaotic oscillations.