Cite this article as:

Приказчиков Д. А. Околорезонансные режимы в стационарной задаче о подвижной нагрузке в случае трансверсально изотропной упругой полуплоскости . Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2015, vol. 15, iss. 2, pp. 215-221. DOI: https://doi.org/10.18500/1816-9791-2015-15-2-215-221

Language: 
Russian
Heading: 
Mechanics
UDC: 
539.3

Околорезонансные режимы в стационарной задаче о подвижной нагрузке в случае трансверсально изотропной упругой полуплоскости

Authors: 
Prikazchikov D. A., Keele University, Keele, Staffordshire, United Kingdom, ST5 5BG , d.prikazchikov@keele.ac.uk
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
DOI: 
https://doi.org/10.18500/1816-9791-2015-15-2-215-221
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