期刊名称：Eastern-European Journal of Enterprise Technologies
印刷版ISSN：1729-3774
电子版ISSN：1729-4061
出版年度：2016
卷号：2
期号：7
页码：49-63
DOI：10.15587/1729-4061.2016.63955
语种：English
出版社：PC Technology Center
摘要：The paper investigates the conditional stability of the basic steady motions of the spatial model of an isolated system, consisting of a rotating lifting body, a particle, creating its static unbalance and two identical mathematical pendulums, mounted on a longitudinal axis of the lifting body and moving in the plane of the static unbalance, the relative motion of which is hindered by the viscous resistance forces. It is found that in the case where unbalance is present and pendulums can correct it with a certain margin, there is one basic motion. In the absence of unbalance, there is a one-parameter family of basic motions. In the case of maximum unbalance, which can be corrected by pendulums, there is one basic motion, but it generates a pseudo family of basic motions. Also, it is revealed that some basic motions, if isolated, or a family or a pseudo family of basic motions is conditionally asymptotically stable. In the absence of unbalance, the presence of a single zero root of the characteristic equation does not affect the stability of a one-parameter family of basic motions and is responsible for the transition from one steady motion of a family to another. In the case of maximum unbalance, the presence of a single zero root of the characteristic equation does not affect the stability of the basic motion and is responsible for the transition from one steady motion of a pseudo family to another. Transition processes are oscillatory-damped.
