Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

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

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Prikazchikov D. A. NEAR-RESONANT REGIMES OF A STEADY-STATE MOVING LOAD ON A TRANSVERSELY ISOTROPIC ELASTIC HALF-PLANE. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2015, vol. 15, iss. 2, pp. 215-221. DOI: 10.18500/1816-9791-2015-15-2-215-221, EDN: TXMFTV

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
11.06.2015
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Language: 
Russian
Heading: 
Mechanics
UDC: 
539.3
DOI: 
10.18500/1816-9791-2015-15-2-215-221
EDN: 
TXMFTV

NEAR-RESONANT REGIMES OF A STEADY-STATE MOVING LOAD ON A TRANSVERSELY ISOTROPIC ELASTIC HALF-PLANE

Autors: 
Prikazchikov D. A., Keele University
Abstract: 

A moving load problem on a transversely isotropic elastic half-plane is considered under steady-state assumption. The approach relies on the hyperbolic-elliptic asymptotic model for surface wave, allowing drastic simplifications. In particular, the formulation is reduced to a Dirichlet problem for a scaled Laplace equation having a straightforward solution in terms of elementary functions. The obtained approximate solutions are valid for loads travelling at speeds close to surface wave speed.

Key words: 
moving load
transversely isotropic
near-resonant
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Received: 
24.01.2015
Accepted: 
27.05.2015
Published: 
30.06.2015
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