Abstract

In this article we study the theoretical problem of vibrational transportation of bodies along a surface in the state of non-translational, in particular, rotational oscillations. Nonlinear differential equations of motion of bodies on such surface are obtained. It is shown that, in the case where the influence of centrifugal and Coriolis inertia forces can be neglected, when finding the local average speed of vibrational transporting, one can use the results of an existing theory if additional parameters are introduced. The essential features of the arising motions are established, and a number of possible applications are discussed. The discovered regularities are confirmed by a physical experiment on a vibration bench.

中文翻译：

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具有非平移旋转振荡的表面上物体的振动传输

摘要

在本文中，我们研究了在非平移（尤其是旋转振动）状态下物体沿表面的振动传输的理论问题。得到了在这样的表面上物体运动的非线性微分方程。结果表明，在可以忽略离心力和科里奥利惯性力影响的情况下，当找到振动传输的局部平均速度时，如果引入其他参数，则可以使用现有理论的结果。建立了上升运动的基本特征，并讨论了许多可能的应用。通过振动台上的物理实验证实了发现的规律性。