Asymptotics of Natural Oscillations of Elastic Junctions with Readily Movable Elements

Research output: Contribution to journalArticleResearchpeer-review

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.

Original languageEnglish
Pages (from-to)101-115
Number of pages15
JournalMechanics of Solids
Volume53
DOIs
StatePublished - 1 Jul 2018

Keywords

  • asymptotics
  • elastic structure
  • frequencies of natural oscillations
  • one-dimensional model
  • thin rods

Scopus subject areas

  • Mechanics of Materials
  • Physics and Astronomy(all)

Cite this

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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.",
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author = "Nazarov, {S. A.} and Slutskii, {A. S.}",
year = "2018",
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journal = "Mechanics of Solids",
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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 journalArticleResearchpeer-review

TY - JOUR

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AU - Slutskii, A. S.

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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.

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