On dynamic quasi-bifurcation of simple shell-like systems under impulsive loads

Autores
Ameijeiras, Mariano Pablo; Godoy, Luis Augusto
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The nonlinear dynamic response and buckling of a simple, two degree of freedom system is investigated in this work under an impulsive load that simulates a nearby detonation-like explosion. The model considered in this work was originally studied by other researchers to explore static buckling. The system includes force and moment springs in much the same way as membrane and bending effects develop in shell structures. The static response is first obtained to evaluate bifurcation states and nonlinear equilibrium paths including geometric imperfections. The dynamic problem is modeled using Lagrange equation of motion involving the total potential and kinetic energies. The nonlinear dynamic response under impulsive load is next computed for the perfect configuration under increasing load levels. The presence of quasi-bifurcations is detected using stability coefficients based on second order derivatives of the total potential energy. For a given load level, it is found that one stability coefficient vanishes at the first maximum in the displacement versus time trajectory, at which the system passes through a state of zero velocity. This occurs for the same displacement configuration as in the static buckling mode. The results show that quasi-bifurcation loads thus obtained are independent of the amplitude of the geometric imperfection considered but display high sensitivity to changes in the membrane to bending stiffness ratio. Extensions of the present model to account for the behavior of oil storage tanks under loads due to nearby explosions are suggested.
Fil: Ameijeiras, Mariano Pablo. Universidad Nacional de Córdoba; Argentina
Fil: Godoy, Luis Augusto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Estudios Avanzados en Ingeniería y Tecnología. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas Físicas y Naturales. Instituto de Estudios Avanzados en Ingeniería y Tecnología; Argentina
Materia
BLAST LOADS
DYNAMIC BUCKLING
NONLINEAR DYNAMICS
STRUCTURAL STABILITY
VIBRATIONS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/134111

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network_name_str CONICET Digital (CONICET)
spelling On dynamic quasi-bifurcation of simple shell-like systems under impulsive loadsAmeijeiras, Mariano PabloGodoy, Luis AugustoBLAST LOADSDYNAMIC BUCKLINGNONLINEAR DYNAMICSSTRUCTURAL STABILITYVIBRATIONShttps://purl.org/becyt/ford/2.1https://purl.org/becyt/ford/2The nonlinear dynamic response and buckling of a simple, two degree of freedom system is investigated in this work under an impulsive load that simulates a nearby detonation-like explosion. The model considered in this work was originally studied by other researchers to explore static buckling. The system includes force and moment springs in much the same way as membrane and bending effects develop in shell structures. The static response is first obtained to evaluate bifurcation states and nonlinear equilibrium paths including geometric imperfections. The dynamic problem is modeled using Lagrange equation of motion involving the total potential and kinetic energies. The nonlinear dynamic response under impulsive load is next computed for the perfect configuration under increasing load levels. The presence of quasi-bifurcations is detected using stability coefficients based on second order derivatives of the total potential energy. For a given load level, it is found that one stability coefficient vanishes at the first maximum in the displacement versus time trajectory, at which the system passes through a state of zero velocity. This occurs for the same displacement configuration as in the static buckling mode. The results show that quasi-bifurcation loads thus obtained are independent of the amplitude of the geometric imperfection considered but display high sensitivity to changes in the membrane to bending stiffness ratio. Extensions of the present model to account for the behavior of oil storage tanks under loads due to nearby explosions are suggested.Fil: Ameijeiras, Mariano Pablo. Universidad Nacional de Córdoba; ArgentinaFil: Godoy, Luis Augusto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Estudios Avanzados en Ingeniería y Tecnología. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas Físicas y Naturales. Instituto de Estudios Avanzados en Ingeniería y Tecnología; ArgentinaUniversidad de Puerto Rico2018-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/134111Ameijeiras, Mariano Pablo; Godoy, Luis Augusto; On dynamic quasi-bifurcation of simple shell-like systems under impulsive loads; Universidad de Puerto Rico; Revista Internacional de Desastres Naturales, Accidentes e Infraestructura Civil; 18; 2; 6-2018; 41-541535-0088CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.scipedia.com/public/Ameijeiras_Godoy_2019ainfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:04:43Zoai:ri.conicet.gov.ar:11336/134111instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:04:43.335CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On dynamic quasi-bifurcation of simple shell-like systems under impulsive loads
title On dynamic quasi-bifurcation of simple shell-like systems under impulsive loads
spellingShingle On dynamic quasi-bifurcation of simple shell-like systems under impulsive loads
Ameijeiras, Mariano Pablo
BLAST LOADS
DYNAMIC BUCKLING
NONLINEAR DYNAMICS
STRUCTURAL STABILITY
VIBRATIONS
title_short On dynamic quasi-bifurcation of simple shell-like systems under impulsive loads
title_full On dynamic quasi-bifurcation of simple shell-like systems under impulsive loads
title_fullStr On dynamic quasi-bifurcation of simple shell-like systems under impulsive loads
title_full_unstemmed On dynamic quasi-bifurcation of simple shell-like systems under impulsive loads
title_sort On dynamic quasi-bifurcation of simple shell-like systems under impulsive loads
dc.creator.none.fl_str_mv Ameijeiras, Mariano Pablo
Godoy, Luis Augusto
author Ameijeiras, Mariano Pablo
author_facet Ameijeiras, Mariano Pablo
Godoy, Luis Augusto
author_role author
author2 Godoy, Luis Augusto
author2_role author
dc.subject.none.fl_str_mv BLAST LOADS
DYNAMIC BUCKLING
NONLINEAR DYNAMICS
STRUCTURAL STABILITY
VIBRATIONS
topic BLAST LOADS
DYNAMIC BUCKLING
NONLINEAR DYNAMICS
STRUCTURAL STABILITY
VIBRATIONS
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.1
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv The nonlinear dynamic response and buckling of a simple, two degree of freedom system is investigated in this work under an impulsive load that simulates a nearby detonation-like explosion. The model considered in this work was originally studied by other researchers to explore static buckling. The system includes force and moment springs in much the same way as membrane and bending effects develop in shell structures. The static response is first obtained to evaluate bifurcation states and nonlinear equilibrium paths including geometric imperfections. The dynamic problem is modeled using Lagrange equation of motion involving the total potential and kinetic energies. The nonlinear dynamic response under impulsive load is next computed for the perfect configuration under increasing load levels. The presence of quasi-bifurcations is detected using stability coefficients based on second order derivatives of the total potential energy. For a given load level, it is found that one stability coefficient vanishes at the first maximum in the displacement versus time trajectory, at which the system passes through a state of zero velocity. This occurs for the same displacement configuration as in the static buckling mode. The results show that quasi-bifurcation loads thus obtained are independent of the amplitude of the geometric imperfection considered but display high sensitivity to changes in the membrane to bending stiffness ratio. Extensions of the present model to account for the behavior of oil storage tanks under loads due to nearby explosions are suggested.
Fil: Ameijeiras, Mariano Pablo. Universidad Nacional de Córdoba; Argentina
Fil: Godoy, Luis Augusto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Estudios Avanzados en Ingeniería y Tecnología. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas Físicas y Naturales. Instituto de Estudios Avanzados en Ingeniería y Tecnología; Argentina
description The nonlinear dynamic response and buckling of a simple, two degree of freedom system is investigated in this work under an impulsive load that simulates a nearby detonation-like explosion. The model considered in this work was originally studied by other researchers to explore static buckling. The system includes force and moment springs in much the same way as membrane and bending effects develop in shell structures. The static response is first obtained to evaluate bifurcation states and nonlinear equilibrium paths including geometric imperfections. The dynamic problem is modeled using Lagrange equation of motion involving the total potential and kinetic energies. The nonlinear dynamic response under impulsive load is next computed for the perfect configuration under increasing load levels. The presence of quasi-bifurcations is detected using stability coefficients based on second order derivatives of the total potential energy. For a given load level, it is found that one stability coefficient vanishes at the first maximum in the displacement versus time trajectory, at which the system passes through a state of zero velocity. This occurs for the same displacement configuration as in the static buckling mode. The results show that quasi-bifurcation loads thus obtained are independent of the amplitude of the geometric imperfection considered but display high sensitivity to changes in the membrane to bending stiffness ratio. Extensions of the present model to account for the behavior of oil storage tanks under loads due to nearby explosions are suggested.
publishDate 2018
dc.date.none.fl_str_mv 2018-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/134111
Ameijeiras, Mariano Pablo; Godoy, Luis Augusto; On dynamic quasi-bifurcation of simple shell-like systems under impulsive loads; Universidad de Puerto Rico; Revista Internacional de Desastres Naturales, Accidentes e Infraestructura Civil; 18; 2; 6-2018; 41-54
1535-0088
CONICET Digital
CONICET
url http://hdl.handle.net/11336/134111
identifier_str_mv Ameijeiras, Mariano Pablo; Godoy, Luis Augusto; On dynamic quasi-bifurcation of simple shell-like systems under impulsive loads; Universidad de Puerto Rico; Revista Internacional de Desastres Naturales, Accidentes e Infraestructura Civil; 18; 2; 6-2018; 41-54
1535-0088
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.scipedia.com/public/Ameijeiras_Godoy_2019a
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universidad de Puerto Rico
publisher.none.fl_str_mv Universidad de Puerto Rico
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397