标题： 非线性纵向旋转杆振荡的参数控制及反向旋转振动现象 显示英文标题

标题： Parametric Control of Nonlinear Longitudinal-Rotational Rod Oscillations and Phenomenon of Reverse Rotational Vibrations

摘要： 文章致力于研究旋转杆的耦合纵向-扭转参数振动系统中的非线性效应。 构建并研究了数学模型，基于此计算了非线性振荡的共振条件，并找到了需要改变定义扭转振动可能反转项前面系数符号的参数比例。 后者是一种新现象，一种特殊模式，在这种模式下，杆一端的纵向振动（例如杆端以一定频率周期性冲击）以参数作用的形式可以由于振荡的非线性参数相互作用导致扭转振动。 在这种情况下，反转不仅能够控制旋转参数，还能控制旋转方向，并且可能存在可用于精密机械装置的扭转振荡。 显示英文摘要

摘要： The article is devoted to the investigation of the nonlinear effects in a system of the coupled longitudinal-torsional parametric vibrations of a rotating rod. Constructed and investigated mathematical model, based on which we calculated the resonance conditions of the nonlinear oscillations and found the ratio of the parameters that require changing of the sign of the coefficient in front of the term defining the possible reverse of torsional vibrations. The latter is a new phenomenon, a special mode, where the parametric action in the form of longitudinal vibrations at one end of the rod (for example periodic strikes in the rod's end with a certain frequency) can lead to torsional vibrations due to the nonlinear parametric interaction of oscillations. In the context of this, the reverse leads to control not only the rotation parameters, but also the direction of rotation, and there are possible torsional oscillations, which can be used in precision mechanics devices.