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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 4, Pages 74–85 (Mi pmtf1159)  

This article is cited in 13 scientific papers (total in 13 papers)

Nonlinear flutter of viscoelastic rectangular plates and cylindrical panels of a composite with a concentrated masses

B. Kh. Eshmatova, Kh. Eshmatova, D. A. Khodzhaevb

a University of Buffalo, New York, 14260-4400, USA
b Tashkent Institute of Irrigation and Reclamation, Tashkent, 100000, Uzbekistan
Abstract: The problem of flutter of viscoelastic rectangular plates and cylindrical panels with concentrated masses is studied in a geometrically nonlinear formulation. In the equation of motion of the plate and panel, the effect of concentrated masses is accounted for using the $\delta$-Dirac function. The problem is reduced to a system of nonlinear ordinary integrodifferential equations by using the Bubnov–Galerkin method. The resulting system with a weakly singular Koltunov–Rzhanitsyn kernel is solved by employing a numerical method based on quadrature formulas. The behavior of viscoelastic rectangular plates and cylindrical panels is studied and the critical flow velocities are determined for real composite materials over wide ranges of physicomechanical and geometrical parameters.
Keywords: Kirchhoff–Love hypothesis, composite materials, viscoelastic rectangular plate, viscoelastic cylindrical panel, concentrated mass, Bubnov–Galerkin method, nonlinear flutter.
Received: 21.04.2009
Revised: 26.11.2012
English version:
Journal of Applied Mechanics and Technical Physics, 2013, Volume 54, Issue 4, Pages 578–587
DOI: https://doi.org/10.1134/S0021894413040081
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: B. Kh. Eshmatov, Kh. Eshmatov, D. A. Khodzhaev, “Nonlinear flutter of viscoelastic rectangular plates and cylindrical panels of a composite with a concentrated masses”, Prikl. Mekh. Tekh. Fiz., 54:4 (2013), 74–85; J. Appl. Mech. Tech. Phys., 54:4 (2013), 578–587
Citation in format AMSBIB
\Bibitem{EshEshKho13}
\by B.~Kh.~Eshmatov, Kh.~Eshmatov, D.~A.~Khodzhaev
\paper Nonlinear flutter of viscoelastic rectangular plates and cylindrical panels of a composite with a concentrated masses
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 4
\pages 74--85
\mathnet{http://mi.mathnet.ru/pmtf1159}
\elib{https://elibrary.ru/item.asp?id=20181191}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 4
\pages 578--587
\crossref{https://doi.org/10.1134/S0021894413040081}
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  • https://www.mathnet.ru/eng/pmtf/v54/i4/p74
  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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