The Dynamics of a Bead Sliding on a Freely Rotating Horizontal Wire: An Analytical Solution

被引：1

作者：

Kouba, Omran ^{[1
]}

Bernstein, Dennis S. ^{[2
]}

机构：

[1] Higher Inst Appl Sci & Technol, Dept Math, POB 31983, Damascus, Syria

[2] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 USA

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2024年 / 32卷 / 02期

关键词：

MOTION;

D O I：

10.1007/s12591-021-00574-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper analyzes the dynamics of a bead sliding along a rotating horizontal wire whose rate of rotation varies due to the motion of the bead. Legendre's elliptic integrals are used to obtain an analytical solution of the equation of motion given by a nonlinear second-order differential equation. The analytical solution is used to determine the terminal velocity of the bead and the asymptotic angle of the wire.

引用

页码：363 / 375

页数：13

共 50 条

[1] The Dynamics of a Bead Sliding on a Freely Rotating Horizontal Wire: An Analytical Solution
Omran Kouba
Dennis S. Bernstein
Differential Equations and Dynamical Systems, 2024, 32 : 363 - 375
[2] On the Dynamics of a Bead Sliding on a Freely Rotating Slanted Wire
Kouba, Omran
Bernstein, Dennis S.
JOURNAL OF NONLINEAR SCIENCE, 2024, 34 (03)
[3] CLASSICAL FEATURES OF THE MOTION OF A HEAVY BEAD SLIDING ON A ROTATING WIRE
Abu-As'ad, Ata
Shanak, Hussein
Asad, Jihad
JOURNAL OF THEORETICAL AND APPLIED MECHANICS-BULGARIA, 2019, 49 (03): : 224 - 232
[4] On the motion of a heavy bead sliding on a rotating wire - Fractional treatment
Baleanu, Dumitru
Asad, Jihad H.
Alipour, Mohsen
RESULTS IN PHYSICS, 2018, 11 : 579 - 583
[5] Brownian dynamics simulation of freely rotating bead-rod chain model
Zhejiang Univ, Hangzhou, China
Huagong Xuebao, 4 (395-400):
[6] Applications of the Lie symmetries to complete solution of a bead on a rotating wire hoop
Cláudio H. C. Costa Basquerotto
Edison Righetto
Samuel da Silva
Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2018, 40
[7] Applications of the Lie symmetries to complete solution of a bead on a rotating wire hoop
Basquerotto, Claudio H. C. Costa
Righetto, Edison
da Silva, Samuel
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2018, 40 (02)
[8] A closed form solution of the run-time of a sliding bead along a freely hanging slinky
Sarafian, H
COMPUTATIONAL SCIENCE - ICCS 2004, PROCEEDINGS, 2004, 3039 : 319 - 326
[9] The Motion of a Bead Sliding on a Wire in Fractional Sense
Baleanu, D.
Jajarmi, A.
Asad, J. H.
Blaszczyk, T.
ACTA PHYSICA POLONICA A, 2017, 131 (06) : 1561 - 1564
[10] Dynamics of two freely rotating dipoles
Haugen, Peter T.
Edwards, Boyd F.
AMERICAN JOURNAL OF PHYSICS, 2020, 88 (05) : 365 - 370

← 1 2 3 4 5 →