P. F. Nedorezov, A. V. Aristambekova, “Static bending and vibrations of multilayer orthotropic rectangular plate with simply supported edges”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, Issue 1(22),Pages <nobr>244

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Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mechanics

Static bending and vibrations of multilayer orthotropic rectangular plate with simply supported edges

P. F. Nedorezov, A. V. Aristambekova

Dept. of Mathematical Theory of Elasticity and Biomechanics, N. G. Chernyshevsky Saratov State University (National Research University), Faculty of Mathematics and Mechanics, Saratov

Abstract: Bending and vibrations of multilayer rectangular plate are considered. The plate is composed from $N$ orthotropic layers of arbitrary thickness. Edges of the plate are simply supported. Possibility of closed-form solution is discussed. Numerical solution method is developed and implemented. Results are presented in table.

Keywords: orthotropic plate, bending, vibration, numerical solution, discrete orthogonalization.

UDC: 539.3

MSC: 74K20

Original article submitted 30/XII/2010
revision submitted – 28/II/2011

DOI: 10.14498/vsgtu926