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

dc.contributor.authorNedin, V. O.
dc.date.accessioned2024-03-28T09:12:02Z
dc.date.available2024-03-28T09:12:02Z
dc.date.issued2020
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.identifier.issn2410-2547
dc.identifier.urihttps://repositary.knuba.edu.ua/handle/123456789/12795
dc.language.isoen
dc.publisherКНУБА
dc.subjectnumerical differentiationuk_UA
dc.subjectcomplex bend formsuk_UA
dc.subjectsplineuk_UA
dc.subjectgeometric nonlinearityuk_UA
dc.subjecthammer drillsuk_UA
dc.subjectaxial loadsuk_UA
dc.subjectчисельне диференціюванняuk_UA
dc.subjectскладні форми вигинуuk_UA
dc.subjectсплайнuk_UA
dc.subjectгеометрична нелінійністьuk_UA
dc.subjectпоздовжні навантаженняuk_UA
dc.subjectударні навантаженняuk_UA
dc.subjectперфораториuk_UA
dc.subjectчисленное дифференцированиеuk_UA
dc.subjectсложные формы изгибаuk_UA
dc.subjectпродольные нагрузкиuk_UA
dc.subjectударные нагрузкиuk_UA
dc.subjectперфораторыuk_UA
dc.subjectгеометрическая нелинейностьuk_UA
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
dc.typeArticle
local.subject.departmentкафедра будівельної механіки
local.subject.udc624.071.3:534.1

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