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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Main Authors: M. Dehestani, N. R. Malidarreh, A. J. Choobbasti, A. Vafai
Format: Article
Language:English
Published: Marcílio Alves
Series:Latin American Journal of Solids and Structures
Subjects:
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.
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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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AT nrmalidarreh farfielddynamicbehaviorofahalfspaceunderaninertialstripfoundationsubjectedtoatimeharmonicforce
AT ajchoobbasti farfielddynamicbehaviorofahalfspaceunderaninertialstripfoundationsubjectedtoatimeharmonicforce
AT avafai farfielddynamicbehaviorofahalfspaceunderaninertialstripfoundationsubjectedtoatimeharmonicforce