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Asymptotics of Natural Oscillations of Elastic Junctions with Readily Movable Elements. / Nazarov, S. A.; Slutskii, A. S.

In: Mechanics of Solids, Vol. 53, 01.07.2018, p. 101-115.

Research output: Contribution to journal › Article › peer-review

Harvard

Nazarov, SA & Slutskii, AS 2018, 'Asymptotics of Natural Oscillations of Elastic Junctions with Readily Movable Elements', Mechanics of Solids, vol. 53, pp. 101-115. https://doi.org/10.3103/S002565441803010X

APA

Nazarov, S. A., & Slutskii, A. S. (2018). Asymptotics of Natural Oscillations of Elastic Junctions with Readily Movable Elements. Mechanics of Solids, 53, 101-115. https://doi.org/10.3103/S002565441803010X

Vancouver

Nazarov SA, Slutskii AS. Asymptotics of Natural Oscillations of Elastic Junctions with Readily Movable Elements. Mechanics of Solids. 2018 Jul 1;53:101-115. https://doi.org/10.3103/S002565441803010X

Author

Nazarov, S. A. ; Slutskii, A. S. / Asymptotics of Natural Oscillations of Elastic Junctions with Readily Movable Elements. In: Mechanics of Solids. 2018 ; Vol. 53. pp. 101-115.

BibTeX

@article{3ff2f968e1754cd795d7ea6987c7d497,
title = "Asymptotics of Natural Oscillations of Elastic Junctions with Readily Movable Elements",
abstract = "A one-dimensional model of harmonic oscillations of a junction of several thin elastic rods has been developed. In contrast to the classical model of a single rod, the constructed model of the junction is not purely differential but includes new algebraic unknowns and algebraic equations evoked by the so-called readily movable elements of the structure. The asymptotic representations have been found for frequencies and natural modes of the elastic body oscillations and estimates of asymptotic residues have been obtained.",
keywords = "asymptotics, elastic structure, frequencies of natural oscillations, one-dimensional model, thin rods",
author = "Nazarov, {S. A.} and Slutskii, {A. S.}",
year = "2018",
month = jul,
day = "1",
doi = "10.3103/S002565441803010X",
language = "English",
volume = "53",
pages = "101--115",
journal = "Mechanics of Solids",
issn = "0025-6544",
publisher = "Allerton Press, Inc.",

}

RIS

TY - JOUR

T1 - Asymptotics of Natural Oscillations of Elastic Junctions with Readily Movable Elements

AU - Nazarov, S. A.

AU - Slutskii, A. S.

PY - 2018/7/1

Y1 - 2018/7/1

N2 - A one-dimensional model of harmonic oscillations of a junction of several thin elastic rods has been developed. In contrast to the classical model of a single rod, the constructed model of the junction is not purely differential but includes new algebraic unknowns and algebraic equations evoked by the so-called readily movable elements of the structure. The asymptotic representations have been found for frequencies and natural modes of the elastic body oscillations and estimates of asymptotic residues have been obtained.

AB - A one-dimensional model of harmonic oscillations of a junction of several thin elastic rods has been developed. In contrast to the classical model of a single rod, the constructed model of the junction is not purely differential but includes new algebraic unknowns and algebraic equations evoked by the so-called readily movable elements of the structure. The asymptotic representations have been found for frequencies and natural modes of the elastic body oscillations and estimates of asymptotic residues have been obtained.

KW - asymptotics

KW - elastic structure

KW - frequencies of natural oscillations

KW - one-dimensional model

KW - thin rods

UR - http://www.scopus.com/inward/record.url?scp=85062276788&partnerID=8YFLogxK

U2 - 10.3103/S002565441803010X

DO - 10.3103/S002565441803010X

M3 - Article

AN - SCOPUS:85062276788

VL - 53

SP - 101

EP - 115

JO - Mechanics of Solids

JF - Mechanics of Solids

SN - 0025-6544

ER -

ID: 40973271