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Bulletin of National University of Architectur and Construction of Armenia, 2019, Issue 4, Pages 72–78 (Mi nuaca254)  

Structural Mechanics

Stability of a continuous round plate with intermediate fixed outline subjected to action of compressive forces uniformly distributed along perimeter

M. Z. Poghosyana, H.P. Tarverdyanb, M.Z. Sargsyana, A.L. Grigoryana

a National university of architecture and construction of Armenia
b Military aviation university named after Marshal Armenak Khanperyants (Ministry of defence of the RA), Yerevan

Abstract: The problem of stability of a continuous round plate located on supports limiting intermediate circular turn, when it is subjected to action of uniformly distributed radial pressure P along the outline is considered in this article. The solution is presented in the form of a combination of two simple problems. Hermite fifth-degree polynomials have been used in the present study, which will enable to completely satisfy the bboundary conditions. The location of supports has been determined at which the plate shows the greatest stability. It is proved and experimentally established that the same result is obtained for a compressed rod located on two intermediate supports, limiting rotation.

Keywords: continuous round plate, approximate method, stability, kinematic conditions, critical force, Hermite polynomials

Full text: PDF file (533 kB)
References: PDF file   HTML file
UDC: 531/ 539
Received: 24.06.2019
Accepted:30.12.2019
Language:

Citation: M. Z. Poghosyan, H.P. Tarverdyan, M.Z. Sargsyan, A.L. Grigoryan, “Stability of a continuous round plate with intermediate fixed outline subjected to action of compressive forces uniformly distributed along perimeter”, Bulletin of National University of Architectur and Construction of Armenia, 2019, no. 4, 72–78

Citation in format AMSBIB
\Bibitem{PogTarSar19}
\by M.~Z.~Poghosyan, H.P.~Tarverdyan, M.Z.~Sargsyan, A.L.~Grigoryan
\paper Stability of a continuous round plate with intermediate fixed outline subjected to action of compressive forces uniformly distributed along perimeter
\jour Bulletin of National University of Architectur and Construction of Armenia
\yr 2019
\issue 4
\pages 72--78
\mathnet{http://mi.mathnet.ru/nuaca254}


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