Far-field dynamic behavior of a half-space under an inertial strip foundation subjected to a time-harmonic force
Recent research works demonstrated that the interaction between the loads and the carrying structure's boundary which is related to the inertia of the load is an influential factor on the dynamic response of the structure. Although effects of the inertia in moving loads were considered in many...
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Format: | Article |
Language: | English |
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Marcílio Alves
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Series: | Latin American Journal of Solids and Structures |
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Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000300001&lng=en&tlng=en |
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author | M. Dehestani N. R. Malidarreh A. J. Choobbasti A. Vafai |
author_facet | M. Dehestani N. R. Malidarreh A. J. Choobbasti A. Vafai |
author_sort | M. Dehestani |
collection | DOAJ |
description | Recent research works demonstrated that the interaction between the loads and the carrying structure's boundary which is related to the inertia of the load is an influential factor on the dynamic response of the structure. Although effects of the inertia in moving loads were considered in many works, very few papers can be found on the inertial effects of the stationary loads on structures. In this paper, an elastodynamic formulation was employed to investigate the dynamic response of a homogeneous isotropic elastic half-space under an inertial strip foundation subjected to a time-harmonic force. Fourier integral transformation was used to solve the system of Poisson-type partial differential equation considering the boundary conditions and the inertial effects. Steepest descent method was employed to obtain the approximate far-field displacements and stresses. A numerical example is presented to illustrate the methodology and typical results. |
first_indexed | 2024-12-22T19:07:53Z |
format | Article |
id | doaj.art-15908033c1b74e7eba650ee43f522e5b |
institution | Directory Open Access Journal |
issn | 1679-7825 |
language | English |
last_indexed | 2024-12-22T19:07:53Z |
publisher | Marcílio Alves |
record_format | Article |
series | Latin American Journal of Solids and Structures |
spelling | doaj.art-15908033c1b74e7eba650ee43f522e5b2022-12-21T18:15:45ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782510345347110.1590/S1679-78252013000300001S1679-78252013000300001Far-field dynamic behavior of a half-space under an inertial strip foundation subjected to a time-harmonic forceM. Dehestani0N. R. Malidarreh1A. J. Choobbasti2A. Vafai3Babol Noshirvani University of TechnologyIslamic Azad UniversityBabol Noshirvani University of TechnologySharif University of TechnologyRecent research works demonstrated that the interaction between the loads and the carrying structure's boundary which is related to the inertia of the load is an influential factor on the dynamic response of the structure. Although effects of the inertia in moving loads were considered in many works, very few papers can be found on the inertial effects of the stationary loads on structures. In this paper, an elastodynamic formulation was employed to investigate the dynamic response of a homogeneous isotropic elastic half-space under an inertial strip foundation subjected to a time-harmonic force. Fourier integral transformation was used to solve the system of Poisson-type partial differential equation considering the boundary conditions and the inertial effects. Steepest descent method was employed to obtain the approximate far-field displacements and stresses. A numerical example is presented to illustrate the methodology and typical results.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000300001&lng=en&tlng=enInertial FoundationPoisson-type partial differential equationWave PropagationElasticity |
spellingShingle | M. Dehestani N. R. Malidarreh A. J. Choobbasti A. Vafai Far-field dynamic behavior of a half-space under an inertial strip foundation subjected to a time-harmonic force Latin American Journal of Solids and Structures Inertial Foundation Poisson-type partial differential equation Wave Propagation Elasticity |
title | Far-field dynamic behavior of a half-space under an inertial strip foundation subjected to a time-harmonic force |
title_full | Far-field dynamic behavior of a half-space under an inertial strip foundation subjected to a time-harmonic force |
title_fullStr | Far-field dynamic behavior of a half-space under an inertial strip foundation subjected to a time-harmonic force |
title_full_unstemmed | Far-field dynamic behavior of a half-space under an inertial strip foundation subjected to a time-harmonic force |
title_short | Far-field dynamic behavior of a half-space under an inertial strip foundation subjected to a time-harmonic force |
title_sort | far field dynamic behavior of a half space under an inertial strip foundation subjected to a time harmonic force |
topic | Inertial Foundation Poisson-type partial differential equation Wave Propagation Elasticity |
url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000300001&lng=en&tlng=en |
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