The parametric oscillations of rotating rods under action of the axial beat load

dc.contributor.authorNedin, V. O.
dc.description.abstractThe paper presents the results of investigation of the axial beat loads’ influence on the transverse rotating rods’ oscillations and their stability. The perforator's long drills are considered as objects of investigation. The analysis of different author’s papers that are studded the dynamics of oscillations of shafts and rotating rods is carried out. The relevance of the research topic is substantiated. The model of the considered dynamic system is described and equations of oscillations in space are given. The technique for investigation is presented. This technique is based on search for new bend forms of rotating rod by solving the equations of oscillations with using the Hubbolt time integration method and the polynomial functions (splines) that are described the current bend form. In it, the spline functions are found by current bend form approximation where each of the found functions is responsible to certain point of rod elastic line and describes the position of nearby points. Described technique was realized in a computer program with graphic user interface that is developed by author. Program allows to monitor for dynamics of the oscillatory motion of the modeled system in real-time by calculating and drawing the current band forms of the rotating rod during the oscillation. Diagrams with regions of stable and instable motion of the rods, that were found by different parameters and boundary conditions are shown. The analysis of the results is obtained and the conclusion about possibility of operating the equipment in certain frequency ranges is done. The space oscillating process of rotating rods is considered with account of the gyroscopic loads and geometric nonlinearity.
dc.identifier.citationNedin V. O. The parametric oscillations of rotating rods under action of the axial beat load / V. O. Nedin // Опір матеріалів і теорія споруд : зб. наук. праць / Київ. нац. ун-т буд-ва і архіт. ; гол. ред. П. П. Лізунов. - Київ : КНУБА, 2020. - Вип. 104. - С. 309 - 320. - Бібліогр. : 14 назв.
dc.subjectкафедра будівельної механіки
dc.subjectnumerical differentiation
dc.subjectcomplex bend forms
dc.subjectgeometric nonlinearity
dc.subjecthammer drills
dc.subjectaxial loads
dc.subjectчисельне диференціювання
dc.subjectскладні форми вигину
dc.subjectгеометрична нелінійність
dc.subjectпоздовжні навантаження
dc.subjectударні навантаження
dc.subjectчисленное дифференцирование
dc.subjectсложные формы изгиба
dc.subjectпродольные нагрузки
dc.subjectударные нагрузки
dc.subjectгеометрическая нелинейность
dc.titleThe parametric oscillations of rotating rods under action of the axial beat load
dc.title.alternativeПараметричні коливання стержнів, що обертаються під дією поздовжнього ударного навантаження
dc.title.alternativeПараметрические колебания вращающихся стержней под действием продольной ударной нагрузки


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