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Proceedings of the YSU, Physics & Mathematics, 2018, Volume 52, Issue 2, Pages 101–108 (Mi uzeru465)  

Mechanics

Non-classical problem of an elastically clamped orthotropic beam of variable thickness under the combined action of compressive forces and transverse load

R. M. Kirakosyana, S. P. Stepanyanb

a Institute of Mechanics, National Academy of Sciences of Armenia
b Chair of Numerical Analysis and Mathematical Modelling YSU, Armenia

Abstract: On the basis of the refined theory of orthotropic plates of variable thickness, the equations of the beam bending problem are obtained with the simultaneous action of compressive forces and transverse load. It is accepted that the edges of the beam have an elastically clamped support and the reduction of the compressive force by the support due to friction is taking into account. Passing to dimensionless quantities, a certain problem is solved. The stability of a beam is discussed. Based on the results obtained, conclusions are drawn.

Keywords: orthotropic plates of variable thickness, clamped supports.

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Document Type: Article
MSC: 74K20
Received: 22.12.2017
Language: English

Citation: R. M. Kirakosyan, S. P. Stepanyan, “Non-classical problem of an elastically clamped orthotropic beam of variable thickness under the combined action of compressive forces and transverse load”, Proceedings of the YSU, Physics & Mathematics, 52:2 (2018), 101–108

Citation in format AMSBIB
\Bibitem{KirSte18}
\by R.~M.~Kirakosyan, S.~P.~Stepanyan
\paper Non-classical problem of an elastically clamped orthotropic beam of variable thickness under the combined action of compressive forces and transverse load
\jour Proceedings of the YSU, Physics {\&} Mathematics
\yr 2018
\vol 52
\issue 2
\pages 101--108
\mathnet{http://mi.mathnet.ru/uzeru465}


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