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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, Volume 10, Issue 1, Pages 58–62
DOI: https://doi.org/10.18500/1816-9791-2010-10-1-58-62 (Mi isu10) 		 
Mechanics

Wave propagation in fibre-reinforced cylinders

R. R. Mukhomodyarov, Ya. A. Parfenova

Saratov State University, Chair of Mathematical Theory of Elasticity and Biomechanics
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DOI: https://doi.org/10.18500/1816-9791-2010-10-1-58-62
Abstract: Non-stationary wave propagation in cylindrical composite shell is considered. The shell consists of isotropic matrix reinforced by two families of symmetrically wound spiral fibres. These families have the same mechanical properties and the cylinder is considered to be incompressible. Solutions of coupled equations of motion are represented in the form of Frobenius power series. Approximate dispersion relation derived is analyzed numerically for different shell thicknesses and fibre winding angles.
Key words: non-stationary waves, fibre-reinforced composites, Frobenius series, dispersion relation.
Document Type: Article
UDC: 539.3
Language: Russian
Citation: R. R. Mukhomodyarov, Ya. A. Parfenova, “Wave propagation in fibre-reinforced cylinders”, Izv. Saratov Univ. Math. Mech. Inform., 10:1 (2010), 58–62
Citation in format AMSBIB
\Bibitem{MukPar10}
\by R.~R.~Mukhomodyarov, Ya.~A.~Parfenova
\paper Wave propagation in fibre-reinforced cylinders
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2010
\vol 10
\issue 1
\pages 58--62
\mathnet{http://mi.mathnet.ru/isu10}
\crossref{https://doi.org/10.18500/1816-9791-2010-10-1-58-62}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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