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Nonholonomic systems. / Soltakhanov, Shervani Kh; Yushkov, Mikhail P.; Zegzhda, Sergei A.

Mechanics of non-holonomic systems: A New Class of control systems. ed. / Shervani Soltakhanov; Sergei Zegzhda; Mikhail Yushkov. 2009. p. 25-76 (Foundations in Engineering Mechanics).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Harvard

Soltakhanov, SK, Yushkov, MP & Zegzhda, SA 2009, Nonholonomic systems. in S Soltakhanov, S Zegzhda & M Yushkov (eds), Mechanics of non-holonomic systems: A New Class of control systems. Foundations in Engineering Mechanics, pp. 25-76. https://doi.org/10.1007/978-3-540-85847-8_2

APA

Soltakhanov, S. K., Yushkov, M. P., & Zegzhda, S. A. (2009). Nonholonomic systems. In S. Soltakhanov, S. Zegzhda, & M. Yushkov (Eds.), Mechanics of non-holonomic systems: A New Class of control systems (pp. 25-76). (Foundations in Engineering Mechanics). https://doi.org/10.1007/978-3-540-85847-8_2

Vancouver

Soltakhanov SK, Yushkov MP, Zegzhda SA. Nonholonomic systems. In Soltakhanov S, Zegzhda S, Yushkov M, editors, Mechanics of non-holonomic systems: A New Class of control systems. 2009. p. 25-76. (Foundations in Engineering Mechanics). https://doi.org/10.1007/978-3-540-85847-8_2

Author

Soltakhanov, Shervani Kh ; Yushkov, Mikhail P. ; Zegzhda, Sergei A. / Nonholonomic systems. Mechanics of non-holonomic systems: A New Class of control systems. editor / Shervani Soltakhanov ; Sergei Zegzhda ; Mikhail Yushkov. 2009. pp. 25-76 (Foundations in Engineering Mechanics).

BibTeX

@inbook{ed436a0c76e143cb871e07addb595b85,
title = "Nonholonomic systems",
abstract = "From the analog of Newton's law, Maggi's equations are deduced which are the most convenient equations of the nonholonomic mechanics. From Maggi's equations the most useful forms of equations of motion of nonholonomic systems are obtained. The connection between Maggi's equations and the Suslov - Jourdain principle is considered. The notion of ideal nonholonomic constraints is discussed. In studying nonholonomic systems the approach, applied in Chapter I to analysis of the motion of holonomic systems, is employed. The role of of Chetaev's type constraints for the development of nonholonomic mechanics is considered. For the solution of a number of nonholonomic problems, the different methods are applied.",
author = "Soltakhanov, {Shervani Kh} and Yushkov, {Mikhail P.} and Zegzhda, {Sergei A.}",
note = "Copyright: Copyright 2009 Elsevier B.V., All rights reserved.",
year = "2009",
doi = "10.1007/978-3-540-85847-8_2",
language = "English",
isbn = "9783540858461",
series = "Foundations in Engineering Mechanics",
pages = "25--76",
editor = "Shervani Soltakhanov and Sergei Zegzhda and Mikhail Yushkov",
booktitle = "Mechanics of non-holonomic systems",

}

RIS

TY - CHAP

T1 - Nonholonomic systems

AU - Soltakhanov, Shervani Kh

AU - Yushkov, Mikhail P.

AU - Zegzhda, Sergei A.

N1 - Copyright: Copyright 2009 Elsevier B.V., All rights reserved.

PY - 2009

Y1 - 2009

N2 - From the analog of Newton's law, Maggi's equations are deduced which are the most convenient equations of the nonholonomic mechanics. From Maggi's equations the most useful forms of equations of motion of nonholonomic systems are obtained. The connection between Maggi's equations and the Suslov - Jourdain principle is considered. The notion of ideal nonholonomic constraints is discussed. In studying nonholonomic systems the approach, applied in Chapter I to analysis of the motion of holonomic systems, is employed. The role of of Chetaev's type constraints for the development of nonholonomic mechanics is considered. For the solution of a number of nonholonomic problems, the different methods are applied.

AB - From the analog of Newton's law, Maggi's equations are deduced which are the most convenient equations of the nonholonomic mechanics. From Maggi's equations the most useful forms of equations of motion of nonholonomic systems are obtained. The connection between Maggi's equations and the Suslov - Jourdain principle is considered. The notion of ideal nonholonomic constraints is discussed. In studying nonholonomic systems the approach, applied in Chapter I to analysis of the motion of holonomic systems, is employed. The role of of Chetaev's type constraints for the development of nonholonomic mechanics is considered. For the solution of a number of nonholonomic problems, the different methods are applied.

UR - http://www.scopus.com/inward/record.url?scp=67049095543&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-85847-8_2

DO - 10.1007/978-3-540-85847-8_2

M3 - Chapter

AN - SCOPUS:67049095543

SN - 9783540858461

T3 - Foundations in Engineering Mechanics

SP - 25

EP - 76

BT - Mechanics of non-holonomic systems

A2 - Soltakhanov, Shervani

A2 - Zegzhda, Sergei

A2 - Yushkov, Mikhail

ER -

ID: 71885283