Аннотация:
This paper is concerned with the problem of a rigid body (tripod) moving with three points in contact with a horizontal plane under the action of dry friction forces.
It is shown that the regime of asymptotic motion (final dynamics) of the tripod can be pure rotation, pure sliding, or sliding and rotation can cease simultaneously, which is determined by the position of the tripod's supports relative to the radius of inertia.
In addition, the dependence of the trajectory of the center of mass on the system parameters is investigated.
A comparison is made with the well-known theoretical and experimental studies on the motion of bodies with a flat base.
The work was carried out within the framework of the state assignment for institutions of higher education and supported by the RFBR grant No 15-08-09261-a.
Поступила в редакцию: 30.11.2016 Исправленный вариант: 19.12.2016
Образец цитирования:
Alexey V. Borisov, Ivan S. Mamaev, Nadezhda N. Erdakova, “Dynamics of a body sliding on a rough plane and supported at three points”, Theor. Appl. Mech., 43:2 (2016), 169–190
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\by Alexey~V.~Borisov, Ivan~S.~Mamaev, Nadezhda~N.~Erdakova
\paper Dynamics of a body sliding on a rough plane and supported at three points
\jour Theor. Appl. Mech.
\yr 2016
\vol 43
\issue 2
\pages 169--190
\mathnet{http://mi.mathnet.ru/tam12}
\crossref{https://doi.org/10.2298/TAM161130013B}
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Эта публикация цитируется в следующих 7 статьяx:
Mate Antali, “Harmonic expansion and nonsmooth dynamics in a circular contact region with combined slip-spin motion”, Nonlinear Dyn, 112:9 (2024), 6785
Mate Antali, Peter L. Varkonyi, “The Nonsmooth Dynamics of Combined Slip and Spin Motion Under Dry Friction”, J Nonlinear Sci, 32:4 (2022)
Han Hu, Anas Batou, Huajiang Ouyang, “Coefficient of friction random field modelling and analysis in planar sliding”, Journal of Sound and Vibration, 508 (2021), 116197
A.V. Karapetyan, A.Y. Shamin, “On the movement of the Chaplygin sleigh on a horizontal plane with dry friction”, Acta Astronautica, 176 (2020), 733
A. V. Karapetyan, A. Yu. Shamin, “On Motion of Chaplygin Sleigh on a Horizontal Plane with Dry Friction”, Mech. Solids, 54:5 (2019), 632
G. M. Rozenblat, “Motion of a body sliding on a rough horizontal plane and supported at three points”, Dokl. Phys., 62:9 (2017), 430
Г. М. Розенблат, “О ДВИЖЕНИИ ТЕЛА, ОПИРАЮЩЕГОСЯ НА ШЕРОХОВАТУЮ ГОРИЗОНТАЛЬНУЮ ПЛОСКОСТЬ ТРЕМЯ ТОЧКАМИ, “Доклады Академии наук””, Доклады Академии Наук, 2017, № 1, 35
Цитирование в формате AMSBIB
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