Multiple spatially localized dynamical states in friction-excited oscillator chains
Multiple spatially localized dynamical states in friction-excited oscillator chains
复制标题
DOI：
10.1016/j.jsv.2017.11.056
复制
发表时间：
2018-03
影响因子：
4.7
通讯作者：
A. Papangelo;N. Hoffmann;A. Grolet;M. Stender;M. Ciavarella
中科院分区：
文献类型：
--
作者：
A. Papangelo;N. Hoffmann;A. Grolet;M. Stender;M. Ciavarella
已知振动引起的振动影响许多工程应用。在这里，我们研究了一个链的摩擦激励的最近邻弹性耦合振子。的激励是由一个移动带，以一定的速度v d移动，而摩擦力是一个指数衰减的摩擦定律建模。结果表明，在一定的驱动速度范围内，存在多个稳定的空间局域解，其动力学行为（即规则或不规则）取决于参与振动的振子的数目.摩擦诱导振动问题的经典不可重复性可以根据这些多个稳定的动力学状态来解释。这些状态被发现在一个“蛇形”分叉模式。与经典的安德森局部化现象相反，这里的基本线性系统是完全均匀的，并且局部化仅由摩擦非线性触发。
Friction-induced vibrations are known to affect many engineering applications. Here, we study a chain of friction-excited oscillators with nearest neighbor elastic coupling. The excitation is provided by a moving belt which moves at a certain velocity v d while friction is modelled with an exponentially decaying friction law. It is shown that in a certain range of driving velocities, multiple stable spatially localized solutions exist whose dynamical behavior (ie regular or irregular) depends on the number of oscillators involved in the vibration. The classical non-repeatability of friction-induced vibration problems can be interpreted in light of those multiple stable dynamical states. These states are found within a “snaking-like” bifurcation pattern. Contrary to the classical Anderson localization phenomenon, here the underlying linear system is perfectly homogeneous and localization is solely triggered by the friction nonlinearity.