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Statics and Dynamics of Thin Rod. / Belyaev, Alexander Konstantinovich; Morozov, Nikita Fedorovich; Tovstik, Petr Evgenievich; Tovstik, Tatiana Petrovna.

Foundations in Engineering Mechanics. Springer Nature, 2021. p. 413-435 (Foundations in Engineering Mechanics).

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

Harvard

Belyaev, AK, Morozov, NF, Tovstik, PE & Tovstik, TP 2021, Statics and Dynamics of Thin Rod. in Foundations in Engineering Mechanics. Foundations in Engineering Mechanics, Springer Nature, pp. 413-435. https://doi.org/10.1007/978-3-030-64118-4_9

APA

Belyaev, A. K., Morozov, N. F., Tovstik, P. E., & Tovstik, T. P. (2021). Statics and Dynamics of Thin Rod. In Foundations in Engineering Mechanics (pp. 413-435). (Foundations in Engineering Mechanics). Springer Nature. https://doi.org/10.1007/978-3-030-64118-4_9

Vancouver

Belyaev AK, Morozov NF, Tovstik PE, Tovstik TP. Statics and Dynamics of Thin Rod. In Foundations in Engineering Mechanics. Springer Nature. 2021. p. 413-435. (Foundations in Engineering Mechanics). https://doi.org/10.1007/978-3-030-64118-4_9

Author

Belyaev, Alexander Konstantinovich ; Morozov, Nikita Fedorovich ; Tovstik, Petr Evgenievich ; Tovstik, Tatiana Petrovna. / Statics and Dynamics of Thin Rod. Foundations in Engineering Mechanics. Springer Nature, 2021. pp. 413-435 (Foundations in Engineering Mechanics).

BibTeX

@inbook{75951513a5124a8f9e8c18b83a8b22f6,
title = "Statics and Dynamics of Thin Rod",
abstract = "This chapter presents the classic results by Euler on nonlinear static deformation of the axially compressed rod, the results of the work by M.A. Lavrentiev and A.Yu. Ishlinsky on rod buckling under dynamic axial compression and the recent results mainly related to the study of interaction of longitudinal and transverse vibrations. The chapter introduces readers to the basic research methods which are the D{\textquoteright}Alembert and Fourier methods, the methods of studying parametric resonances, the asymptotic method of two-scale expansion.",
author = "Belyaev, {Alexander Konstantinovich} and Morozov, {Nikita Fedorovich} and Tovstik, {Petr Evgenievich} and Tovstik, {Tatiana Petrovna}",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.",
year = "2021",
doi = "10.1007/978-3-030-64118-4_9",
language = "English",
series = "Foundations in Engineering Mechanics",
publisher = "Springer Nature",
pages = "413--435",
booktitle = "Foundations in Engineering Mechanics",
address = "Germany",

}

RIS

TY - CHAP

T1 - Statics and Dynamics of Thin Rod

AU - Belyaev, Alexander Konstantinovich

AU - Morozov, Nikita Fedorovich

AU - Tovstik, Petr Evgenievich

AU - Tovstik, Tatiana Petrovna

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

PY - 2021

Y1 - 2021

N2 - This chapter presents the classic results by Euler on nonlinear static deformation of the axially compressed rod, the results of the work by M.A. Lavrentiev and A.Yu. Ishlinsky on rod buckling under dynamic axial compression and the recent results mainly related to the study of interaction of longitudinal and transverse vibrations. The chapter introduces readers to the basic research methods which are the D’Alembert and Fourier methods, the methods of studying parametric resonances, the asymptotic method of two-scale expansion.

AB - This chapter presents the classic results by Euler on nonlinear static deformation of the axially compressed rod, the results of the work by M.A. Lavrentiev and A.Yu. Ishlinsky on rod buckling under dynamic axial compression and the recent results mainly related to the study of interaction of longitudinal and transverse vibrations. The chapter introduces readers to the basic research methods which are the D’Alembert and Fourier methods, the methods of studying parametric resonances, the asymptotic method of two-scale expansion.

UR - http://www.scopus.com/inward/record.url?scp=85120888290&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-64118-4_9

DO - 10.1007/978-3-030-64118-4_9

M3 - Chapter

AN - SCOPUS:85120888290

T3 - Foundations in Engineering Mechanics

SP - 413

EP - 435

BT - Foundations in Engineering Mechanics

PB - Springer Nature

ER -

ID: 91855048