强非线性摩擦作用下强迫振动的奇异镇定
Paradoxical Stabilization of Forced Oscillations by Strong Nonlinear Friction
摘要:
在由振荡力驱动的耗散动力学系统中,强非线性高振荡摩擦力可以产生准定常拖曳,其总是与由于振荡的空间不均匀性引起的有质动力相反。当摩擦力超过有质动力时,摩擦力使系统振荡稳定在振荡空间振幅的最大值附近。
英文摘要:
In a dissipative dynamic system driven by an oscillating force, a strong nonlinear highly oscillatory friction force can create a quasi-steady tug, which is always directed opposite to the ponderomotive force induced due to a spatial inhomogeneity of oscillations. When the friction-induced tug exceeds the ponderomotive force, the friction stabilizes the system oscillations near the maxima of the oscillation spatial amplitude.
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