Non-smooth dry friction between the contact surfaces of rotor/stator rubbing systems can induce self-excited dry friction backward whirl, which may exhibit various discontinuity-induced sliding bifurcations corresponding to stick-slip whirling oscillations with different local dynamical characteristics around the switching manifold. The analytical method proposed in this paper aims to predict the self-excited stick-slip whirling oscillations in a general rotor/stator rubbing system, wherein both the dynamics of a rotor and a stator as well as deformation and friction at contact surfaces are taken into full consideration. The solution of the dry friction backward whirl for the four-degree-of-freedom non-smooth model with a switching manifold of a curved hypersurface is analytically derived under the hypothesis of pure rolling, which consists of a self-excited backward whirl part and a forced forward whirl part. For the validation with numerical simulation, it is found, as expected, that the analytical solution achieves high precision prediction on the response magnitudes and frequencies of the dry friction backward whirl in case of pure rolling at various rotating speeds. The analytical solution can also provide an eligible approximation on the stick-slip whirling oscillations with a relatively short slip phase in one period of stick-slip oscillation due to the negligible damping produced by slipping, such as in the case of a grazing-sliding motion, by which both the rotor and the stator undergo very large harmful amplitudes of vibration.

转子/定子摩擦系统接触面之间的非光滑干摩擦会引起自激干摩擦反向涡动，这可能表现出各种不连续性引起的滑动分岔，对应于切换歧管周围具有不同局部动力学特性的粘滑涡动振荡. 本文提出的分析方法旨在预测一般转子/定子摩擦系统中的自激粘滑涡动振荡，其中考虑了转子和定子的动力学以及接触表面的变形和摩擦。充分考虑。在纯滚动假设下，解析导出了具有弯曲超曲面切换流形的四自由度非光滑模型干摩擦反向涡动的解，它由一个自激向后旋转部分和一个强制向前旋转部分组成。通过数值模拟验证，正如预期的那样，解析解实现了对不同转速下纯滚动情况下干摩擦反向涡动的响应幅度和频率的高精度预测。由于滑动产生的阻尼可以忽略不计，例如在掠滑运动的情况下，解析解还可以在粘滑振荡的一个周期内以相对较短的滑移阶段提供对粘滑旋转振荡的合格近似，由此转子和定子都会承受非常大的有害振动幅度。正如预期的那样，该解析解实现了对不同转速下纯滚动情况下干摩擦反向涡动的响应幅度和频率的高精度预测。由于滑动产生的阻尼可以忽略不计，例如在掠滑运动的情况下，解析解还可以在粘滑振荡的一个周期内以相对较短的滑移阶段提供对粘滑旋转振荡的合格近似，由此转子和定子都会承受非常大的有害振动幅度。正如预期的那样，该解析解实现了对不同转速下纯滚动情况下干摩擦反向涡动的响应幅度和频率的高精度预测。由于滑动产生的阻尼可以忽略不计，例如在掠滑运动的情况下，解析解还可以在粘滑振荡的一个周期内以相对较短的滑移阶段提供对粘滑旋转振荡的合格近似，由此转子和定子都会承受非常大的有害振动幅度。