The stability in a strict non-linear sense of a trivial relative equilibrium position in the classical and generalized versions of Sitnikov's problem

Zhuravlev, S. G.; Perepelkina, Yu. V.

doi:10.1016/j.jappmathmech.2013.07.007

Cited by 3 publications

(2 citation statements)

References 2 publications

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“…Several works have been devoted to studying the rigidity of ball bearings. R.V.Atstupinas‚ V.S.Bochkov, V.F.Zhuravlev‚ M.P.Kovalev‚ S.A.Kharlamov, A.K.Yavlensky [13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Shafts of technological machines with combined supports

Yunusov,

Kenjayev,

Makhmudova

2023

E3S Web of Conf.

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This article discusses experimental studies of a saw cylinder (SC) composite shaft with combined support. We proposed a new design of the support that provides a reduction in the shaft. The article considers the influence of changing the parameters of the elastic element of the support of the composite shaft (CS) of the SC using the ANSYS software, calculates and analyzes the reaction forces of the supports for different parameters of the elastic elements, and also considers the effect on the stresses of the system, as well as the results of experimental and comparative tests in production conditions on the SC of the cotton gin machines with a composite bearing, where the parameters of the elastic element differ from each other by different elasticity. The fiberization process took place according to the established technological parameters. The experimental and standard SC models were compared during the experiment.

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Section: Introductionmentioning

confidence: 99%

Shafts of technological machines with combined supports

Yunusov,

Kenjayev,

Makhmudova

2023

E3S Web of Conf.

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“…Отметим, что случай малых e исследован. В работе [3] показано отсутствие резонансов второго, третьего и четвертого порядков, доказана устой-чивость равновесия по Ляпунову.…”

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On the investigation of stability of equilibrium in Sitnikov problem in nonlinear formulation

Kalas¹,

Krasilnikov²

2015

Nelin. Dinam.

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Исследуется устойчивость тривиального равновесия в задаче Ситникова с учетом нели-нейных членов в уравнениях движения. Для гамильтоновых уравнений задачи построено, с точностью до членов третьего порядка малости включительно, отображение фазового пространства на себя в момент времени t = 2π; на основе метода точечных отображений сделаны выводы об устойчивости равновесия. Показано, что всюду в области значений экс-центриситета e из интервала [0, 1) имеет место устойчивость по Ляпунову, если исключить из рассмотрения дискретную последовательность значений {e j }, для которых след матрицы монодромии равен ±2.Исследованы первое и второе значения эксцентриситета из указанной последователь-ности. Равновесие устойчиво для первого значения e = e 1 . Второе значение эксцентрисите-та e = e 2 отвечает вырождению теорем устойчивости, поэтому требует привлечения членов порядка выше третьего. Оставшиеся значения дискретной последовательности значений эксцентриситета в работе не рассматривались.Ключевые слова: задача Ситникова, устойчивость, точечные отображения

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Equilibrium State of Football Players Affected by Disturbance

Dong

2014

AMR

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Strategies of human balance when standing up from static equilibrium strategy began. The paper use bio-mechanical principles study human balance strategies, we will first discuss the stability of the human body measurement problems, and then discuss the footballer walking process disturbed the balance of input recovery strategy, and the results of this study provide enhancements for the body to balance the theoretical support.

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The stability in a strict non-linear sense of a trivial relative equilibrium position in the classical and generalized versions of Sitnikov's problem

Cited by 3 publications

References 2 publications

Shafts of technological machines with combined supports

Shafts of technological machines with combined supports

On the investigation of stability of equilibrium in Sitnikov problem in nonlinear formulation

Equilibrium State of Football Players Affected by Disturbance

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