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Impulsive dirac-delta forces in the rocking motion

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Summary:In this work the classical theory of one block rocking motion is revisited. A Dirac-delta type interaction as impact mechanism is found to be an alternative for the traditional model. Numerical computations with this new formulation have shown that the agreement with the classical theory is excellent for the case of slender blocks and small displacements. Good agreement with experimental data has also been found for the case of arbitrary angles and slenderness. A probabilistic study of the variations in the coe cient of restitution due to the cyclic degradation at corners during seismic action is also performed. The approach presented in this paper opens new lines for further theoretical developments and computational applications.
Main Authors:Prieto, Francisco
Other Authors:Lourenço, Paulo B.; Oliveira, C. S.
Subject:Rocking Block motion Dirac delta force rocking block motion
Year:2004
Country:Portugal
Document type:article
Access type:open access
Associated institution:Universidade do Minho
Language:English
Origin:RepositóriUM - Universidade do Minho
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author Prieto, Francisco
author2 Lourenço, Paulo B.
Oliveira, C. S.
author2_role author
author
author_facet Prieto, Francisco
Lourenço, Paulo B.
Oliveira, C. S.
author_role author
contributor_name_str_mv RepositóriUM - Universidade do Minho
country_str PT
creators_json_txt [{\"Person.name\":\"Prieto, Francisco\"},{\"Person.name\":\"Lourenço, Paulo B.\"},{\"Person.name\":\"Oliveira, C. S.\"}]
datacite.contributors.contributor.contributorName.fl_str_mv RepositóriUM - Universidade do Minho
datacite.creators.creator.creatorName.fl_str_mv Prieto, Francisco
Lourenço, Paulo B.
Oliveira, C. S.
datacite.date.Accepted.fl_str_mv 2004-06-01T00:00:00Z
datacite.date.available.fl_str_mv 2011-11-29T15:23:56Z
datacite.date.embargoed.fl_str_mv 2011-11-29T15:23:56Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Rocking
Block motion
Dirac delta force
rocking block motion
datacite.titles.title.fl_str_mv Impulsive dirac-delta forces in the rocking motion
dc.contributor.none.fl_str_mv RepositóriUM - Universidade do Minho
dc.creator.none.fl_str_mv Prieto, Francisco
Lourenço, Paulo B.
Oliveira, C. S.
dc.date.Accepted.fl_str_mv 2004-06-01T00:00:00Z
dc.date.available.fl_str_mv 2011-11-29T15:23:56Z
dc.date.embargoed.fl_str_mv 2011-11-29T15:23:56Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv https://hdl.handle.net/1822/14636
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv John Wiley & Sons Ltd
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.subject.none.fl_str_mv Rocking
Block motion
Dirac delta force
rocking block motion
dc.title.fl_str_mv Impulsive dirac-delta forces in the rocking motion
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_6501
description In this work the classical theory of one block rocking motion is revisited. A Dirac-delta type interaction as impact mechanism is found to be an alternative for the traditional model. Numerical computations with this new formulation have shown that the agreement with the classical theory is excellent for the case of slender blocks and small displacements. Good agreement with experimental data has also been found for the case of arbitrary angles and slenderness. A probabilistic study of the variations in the coe cient of restitution due to the cyclic degradation at corners during seismic action is also performed. The approach presented in this paper opens new lines for further theoretical developments and computational applications.
dirty 0
eu_rights_str_mv openAccess
format article
fulltext.url.fl_str_mv https://repositorium.uminho.pt/bitstreams/d68e7122-9aa2-4934-9ce2-c74f1dbd486a/download
id rum_aad2db2e7bd7a941ff66329d91ccb005
identifier.url.fl_str_mv https://hdl.handle.net/1822/14636
instacron_str repositorium
institution Universidade do Minho
instname_str Universidade do Minho
language eng
network_acronym_str rum
network_name_str RepositóriUM - Universidade do Minho
oai_identifier_str oai:repositorium.uminho.pt:1822/14636
organization_str_mv urn:organizationAcronym:repositorium
person_str_mv Prieto, Francisco
Lourenço, Paulo B.
Oliveira, C. S.
publishDate 2004
publisher.none.fl_str_mv John Wiley & Sons Ltd
reponame_str RepositóriUM - Universidade do Minho
repository_id_str urn:repositoryAcronym:rum
service_str_mv urn:repositoryAcronym:rum
spelling engJohn Wiley & Sons LtdporIn this work the classical theory of one block rocking motion is revisited. A Dirac-delta type interaction as impact mechanism is found to be an alternative for the traditional model. Numerical computations with this new formulation have shown that the agreement with the classical theory is excellent for the case of slender blocks and small displacements. Good agreement with experimental data has also been found for the case of arbitrary angles and slenderness. A probabilistic study of the variations in the coe cient of restitution due to the cyclic degradation at corners during seismic action is also performed. The approach presented in this paper opens new lines for further theoretical developments and computational applications.application/pdfporImpulsive dirac-delta forces in the rocking motionPrieto, FranciscoLourenço, Paulo B.Oliveira, C. S.HostingInstitutionOrganizationalRepositóriUM - Universidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptISSNIsPartOf1096-9845DOIIsPartOf10.1002/eqe.3812011-11-29T15:23:56Z2004-062004-06-01T00:00:00ZHandlehttps://hdl.handle.net/1822/14636http://purl.org/coar/access_right/c_abf2open accessRockingBlock motionDirac delta forcerocking block motion283836 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorium.uminho.pt/bitstreams/d68e7122-9aa2-4934-9ce2-c74f1dbd486a/download
spellingShingle Impulsive dirac-delta forces in the rocking motion
Prieto, Francisco
Rocking
Block motion
Dirac delta force
rocking block motion
status SINGLETON
subject.fl_str_mv Rocking
Block motion
Dirac delta force
rocking block motion
title Impulsive dirac-delta forces in the rocking motion
title_full Impulsive dirac-delta forces in the rocking motion
title_fullStr Impulsive dirac-delta forces in the rocking motion
title_full_unstemmed Impulsive dirac-delta forces in the rocking motion
title_short Impulsive dirac-delta forces in the rocking motion
title_sort Impulsive dirac-delta forces in the rocking motion
topic Rocking
Block motion
Dirac delta force
rocking block motion
topic_facet Rocking
Block motion
Dirac delta force
rocking block motion
url https://hdl.handle.net/1822/14636
visible 1