The Motion of a Nonholonomic Chaplygin Sphere in a Magnetic Field, the Grioli Problem, and the Barnett-London Effect

被引：1

作者：

Borisov, A., V ^{[1
]}

Tsiganov, A., V ^{[2
]}

机构：

[1] Moscow Inst Phys & Technol, Dolgoprudnyi, Moscow Oblast, Russia

[2] Russian Acad Sci, Steklov Math Inst, Moscow, Russia

来源：

DOKLADY PHYSICS | 2020年 / 65卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

magnetic field; nonholonomic mechanics; Chaplygin sphere; Grioli's problem; Barnett-London effect; BALL;

D O I：

10.1134/S1028335820030052

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, we consider the motion of a nonholonomic Chaplygin sphere on a plane in a constant magnetic field under the assumption that the sphere has dielectric and ferromagnetic properties. We also obtain a generalization of the integrable case thanks to V.V. Kozlov in the problem of the motion of a symmetric rigid body about a fixed point in a constant magnetic field and present a new particular integrable case of such motion.

引用

页码：90 / 93

页数：4

共 50 条

[1] The Motion of a Nonholonomic Chaplygin Sphere in a Magnetic Field, the Grioli Problem, and the Barnett–London Effect
A. V. Borisov
A. V. Tsiganov
[J]. Doklady Physics, 2020, 65 : 90 - 93
[2] Influence of the Barnett-London effect on the motion of a superconducting rotor in a nonuniform magnetic field
Yu. M. Urman
[J]. Technical Physics, 1998, 43 : 885 - 889
[3] Influence of the Barnett-London effect on the motion of a superconducting rotor in a nonuniform magnetic field
Urman, YM
[J]. TECHNICAL PHYSICS, 1998, 43 (08) : 885 - 889
[4] BARNETT-LONDON EFFECT AND ITS INFLUENCE ON ANGULAR MOVEMENTS OF SOLIDS IN THE MAGNETIC-FIELD
URMAN, YM
[J]. ZHURNAL TEKHNICHESKOI FIZIKI, 1986, 56 (11): : 2081 - 2086
[5] ON GENERALIZED NONHOLONOMIC CHAPLYGIN SPHERE PROBLEM
Tsiganov, A. V.
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2013, 10 (06)
[6] A Discretization of the Nonholonomic Chaplygin Sphere Problem
Fedorov, Yuri N.
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2007, 3
[7] On the Chaplygin Sphere in a Magnetic Field
Alexey V. Borisov
Andrey V. Tsiganov
[J]. Regular and Chaotic Dynamics, 2019, 24 : 739 - 754
[8] On the Chaplygin Sphere in a Magnetic Field
Borisov, Alexey V.
Tsiganov, Andrey V.
[J]. REGULAR & CHAOTIC DYNAMICS, 2019, 24 (06): : 739 - 754
[9] On the Nonholonomic Routh Sphere in a Magnetic Field
Alexey V. Borisov
Andrey V. Tsiganov
[J]. Regular and Chaotic Dynamics, 2020, 25 : 18 - 32
[10] On the Nonholonomic Routh Sphere in a Magnetic Field
Borisov, Alexey V.
Tsiganov, Andrey V.
[J]. REGULAR & CHAOTIC DYNAMICS, 2020, 25 (01): : 18 - 32

← 1 2 3 4 5 →