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本文讨论了水平装置转轴的重力对其稳定性的影响。从大变形状态出发,建立了以转轴静挠曲作为定常状态的受扰运动方程,并对微扰动的稳定性问题按一次近似的稳定性准则得到了相应的稳定性条件。给出结果和对铅直轴所得到的并不完全一致。但对微扰动的稳定性问题来说,重力的影响并不显著,而转速低于其临界值时转轴保持稳定的定性结论依然成立。由此,改正了早先由苏联研究工作者等人所给出的错误结论。
This article discusses the influence of gravity on the stability of the horizontal shaft. From the state of large deformation, a perturbed equation of motion with static deflection of the shaft as a steady state was established and the corresponding stability conditions were obtained according to an approximate stability criterion for the stability of the perturbation. The results given are not exactly the same as those obtained for the vertical axis. However, for the stability problem of micro-perturbation, the influence of gravity is not significant, while the qualitative conclusion that the rotating shaft remains stable when the rotational speed is lower than the critical value still holds. As a result, the erroneous conclusions previously given by the Soviet researchers and others were corrected.