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Constrained Motion. / Polyakhov, N. N.; Soltakhanov, Shervani Khusainovich; Yushkov, M. P.; Zegzhda, S. A.

Foundations in Engineering Mechanics. Springer Nature, 2021. p. 167-291 (Foundations in Engineering Mechanics).

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

Harvard

Polyakhov, NN, Soltakhanov, SK, Yushkov, MP & Zegzhda, SA 2021, Constrained Motion. in Foundations in Engineering Mechanics. Foundations in Engineering Mechanics, Springer Nature, pp. 167-291. https://doi.org/10.1007/978-3-030-64061-3_6

APA

Polyakhov, N. N., Soltakhanov, S. K., Yushkov, M. P., & Zegzhda, S. A. (2021). Constrained Motion. In Foundations in Engineering Mechanics (pp. 167-291). (Foundations in Engineering Mechanics). Springer Nature. https://doi.org/10.1007/978-3-030-64061-3_6

Vancouver

Polyakhov NN, Soltakhanov SK, Yushkov MP, Zegzhda SA. Constrained Motion. In Foundations in Engineering Mechanics. Springer Nature. 2021. p. 167-291. (Foundations in Engineering Mechanics). https://doi.org/10.1007/978-3-030-64061-3_6

Author

Polyakhov, N. N. ; Soltakhanov, Shervani Khusainovich ; Yushkov, M. P. ; Zegzhda, S. A. / Constrained Motion. Foundations in Engineering Mechanics. Springer Nature, 2021. pp. 167-291 (Foundations in Engineering Mechanics).

BibTeX

@inbook{5289e264c60d4968ad558886e77951a1,
title = "Constrained Motion",
abstract = "In the present chapter, the motion equations of mechanical systems subject to either holonomic or nonholonomic constraints are derived not from variational principles, as is customary, but directly from the analysis of the restrictions imposed by the constraint equations on the acceleration of points in the system. We first consider in detail the constrained motion of one material point. Next, using the concept of a representative point, the above results are extended in a natural way to the problem of motion of a system of material points. They are further extended to mechanical systems consisting of material bodies. For this extension, we employ the concepts of a differentiable manifold and the tangent space to it.",
author = "Polyakhov, {N. N.} and Soltakhanov, {Shervani Khusainovich} and Yushkov, {M. P.} and Zegzhda, {S. A.}",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.",
year = "2021",
month = jan,
day = "1",
doi = "10.1007/978-3-030-64061-3_6",
language = "English",
series = "Foundations in Engineering Mechanics",
publisher = "Springer Nature",
pages = "167--291",
booktitle = "Foundations in Engineering Mechanics",
address = "Germany",

}

RIS

TY - CHAP

T1 - Constrained Motion

AU - Polyakhov, N. N.

AU - Soltakhanov, Shervani Khusainovich

AU - Yushkov, M. P.

AU - Zegzhda, S. A.

N1 - Publisher Copyright: © 2021, Springer Nature Switzerland AG.

PY - 2021/1/1

Y1 - 2021/1/1

N2 - In the present chapter, the motion equations of mechanical systems subject to either holonomic or nonholonomic constraints are derived not from variational principles, as is customary, but directly from the analysis of the restrictions imposed by the constraint equations on the acceleration of points in the system. We first consider in detail the constrained motion of one material point. Next, using the concept of a representative point, the above results are extended in a natural way to the problem of motion of a system of material points. They are further extended to mechanical systems consisting of material bodies. For this extension, we employ the concepts of a differentiable manifold and the tangent space to it.

AB - In the present chapter, the motion equations of mechanical systems subject to either holonomic or nonholonomic constraints are derived not from variational principles, as is customary, but directly from the analysis of the restrictions imposed by the constraint equations on the acceleration of points in the system. We first consider in detail the constrained motion of one material point. Next, using the concept of a representative point, the above results are extended in a natural way to the problem of motion of a system of material points. They are further extended to mechanical systems consisting of material bodies. For this extension, we employ the concepts of a differentiable manifold and the tangent space to it.

UR - http://www.scopus.com/inward/record.url?scp=85114319935&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/9fb31b58-f71f-3c7c-b9fe-d7871da1bf07/

U2 - 10.1007/978-3-030-64061-3_6

DO - 10.1007/978-3-030-64061-3_6

M3 - Chapter

AN - SCOPUS:85114319935

T3 - Foundations in Engineering Mechanics

SP - 167

EP - 291

BT - Foundations in Engineering Mechanics

PB - Springer Nature

ER -

ID: 87274251