Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Mukhomodyarov R. R., Parfenova Y. A. Wave Propagation in Fibre-Reinforced Cylinders. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, vol. 10, iss. 1, pp. 58-62. DOI: 10.18500/1816-9791-2010-10-1-58-62

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
18.01.2010
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Language: 
Russian
Heading: 
Mechanics
UDC: 
539.3
DOI: 
10.18500/1816-9791-2010-10-1-58-62

Wave Propagation in Fibre-Reinforced Cylinders

Autors: 
Mukhomodyarov Rinat Ravilyevich, Saratov State University
Parfenova Ya. A., Saratov State University
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
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