A piezoelectric beam model with geometric, material and damping nonlinearities for energy harvesting

Autores
Machado, Sebastián Pablo; Febbo, Mariano; Gatti, Claudio David; Osinaga, Santiago Manuel
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
To predict electrical generation in piezoelectric small-scale beam energy harvesting devices, it is important to have a complete mathematical model that captures the different associated phenomena. In the literature, some authors propose several alternatives of non-linear mathematical formulations, with non-linearities coming from different physical aspects. All these formulations present good aptitudes to predict the nonlinear behavior of the system under different values of accelerations, geometry and boundary conditions. At the same time, they do not represent a unified general proposal for modeling multimodal energy harvesting devices of any type of mode generation and boundary conditions at large excitations. In this sense, this paper presents a mathematical description of inextensional nonlinear Euler-Bernoulli piezoelectric beams that combines the best contributions of the literature to the voltage generation of multimodal nonlinear piezoelectric energy harvesters (geometric, material and damping non-linearities). The developed analytical model yields a total set of N+ 1 ordinary differential equations for the first N modes and for the output voltage. However, direct solution of this ordinary nonlinear differential system of N equations is computationally costly. Instead, a reduced algebraic system of 2 algebraic equations is proposed applying the method of averaging. Its main advantage is that it makes more suitable and computationally economical for the implementation of a parameter identification process involving any number of piezoelectric inserts (unimorph or bimorph) and mode of generation (d33 or d31). Two types of validations are presented for some selected physical systems to test the validity of the assumptions: a numerical one, by the direct integration of the equations of motion and an experimental one. A final comparison between the results demonstrates the importance of the having a unified nonlinear model to predict the generated voltage in multimodal energy harvesters.
Fil: Machado, Sebastián Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnologica Nacional. Facultad Regional Bahia Blanca. Grupo de Investigacion En Multifisica Aplicada. - Comision de Investigaciones Cientificas de la Provincia de Buenos Aires. Grupo de Investigacion En Multifisica Aplicada.; Argentina
Fil: Febbo, Mariano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina
Fil: Gatti, Claudio David. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnologica Nacional. Facultad Regional Bahia Blanca. Grupo de Investigacion En Multifisica Aplicada. - Comision de Investigaciones Cientificas de la Provincia de Buenos Aires. Grupo de Investigacion En Multifisica Aplicada.; Argentina
Fil: Osinaga, Santiago Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnologica Nacional. Facultad Regional Bahia Blanca. Grupo de Investigacion En Multifisica Aplicada. - Comision de Investigaciones Cientificas de la Provincia de Buenos Aires. Grupo de Investigacion En Multifisica Aplicada.; Argentina
Materia
GEOMETRICAL AND DAMPING NON-LINEARITIES
MATERIAL
MULTIMODAL SYSTEMS
PIEZOELECTRIC ENERGY HARVESTING
REDUCED ALGEBRAIC EQUATIONS
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:11336/141221
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/141221
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A piezoelectric beam model with geometric, material and damping nonlinearities for energy harvestingMachado, Sebastián PabloFebbo, MarianoGatti, Claudio DavidOsinaga, Santiago ManuelGEOMETRICAL AND DAMPING NON-LINEARITIESMATERIALMULTIMODAL SYSTEMSPIEZOELECTRIC ENERGY HARVESTINGREDUCED ALGEBRAIC EQUATIONShttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2To predict electrical generation in piezoelectric small-scale beam energy harvesting devices, it is important to have a complete mathematical model that captures the different associated phenomena. In the literature, some authors propose several alternatives of non-linear mathematical formulations, with non-linearities coming from different physical aspects. All these formulations present good aptitudes to predict the nonlinear behavior of the system under different values of accelerations, geometry and boundary conditions. At the same time, they do not represent a unified general proposal for modeling multimodal energy harvesting devices of any type of mode generation and boundary conditions at large excitations. In this sense, this paper presents a mathematical description of inextensional nonlinear Euler-Bernoulli piezoelectric beams that combines the best contributions of the literature to the voltage generation of multimodal nonlinear piezoelectric energy harvesters (geometric, material and damping non-linearities). The developed analytical model yields a total set of N+ 1 ordinary differential equations for the first N modes and for the output voltage. However, direct solution of this ordinary nonlinear differential system of N equations is computationally costly. Instead, a reduced algebraic system of 2 algebraic equations is proposed applying the method of averaging. Its main advantage is that it makes more suitable and computationally economical for the implementation of a parameter identification process involving any number of piezoelectric inserts (unimorph or bimorph) and mode of generation (d33 or d31). Two types of validations are presented for some selected physical systems to test the validity of the assumptions: a numerical one, by the direct integration of the equations of motion and an experimental one. A final comparison between the results demonstrates the importance of the having a unified nonlinear model to predict the generated voltage in multimodal energy harvesters.Fil: Machado, Sebastián Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnologica Nacional. Facultad Regional Bahia Blanca. Grupo de Investigacion En Multifisica Aplicada. - Comision de Investigaciones Cientificas de la Provincia de Buenos Aires. Grupo de Investigacion En Multifisica Aplicada.; ArgentinaFil: Febbo, Mariano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; ArgentinaFil: Gatti, Claudio David. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnologica Nacional. Facultad Regional Bahia Blanca. Grupo de Investigacion En Multifisica Aplicada. - Comision de Investigaciones Cientificas de la Provincia de Buenos Aires. Grupo de Investigacion En Multifisica Aplicada.; ArgentinaFil: Osinaga, Santiago Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnologica Nacional. Facultad Regional Bahia Blanca. Grupo de Investigacion En Multifisica Aplicada. - Comision de Investigaciones Cientificas de la Provincia de Buenos Aires. Grupo de Investigacion En Multifisica Aplicada.; ArgentinaIOP Publishing2020-09-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/141221Machado, Sebastián Pablo; Febbo, Mariano; Gatti, Claudio David; Osinaga, Santiago Manuel; A piezoelectric beam model with geometric, material and damping nonlinearities for energy harvesting; IOP Publishing; Smart Materials & Structures; 29; 9; 10-9-2020; 1-150964-1726CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1361-665X/ab9ddbinfo:eu-repo/semantics/altIdentifier/doi/10.1088/1361-665X/ab9ddbinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:16:40Zoai:ri.conicet.gov.ar:11336/141221instacron: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:34982025-09-29 10:16:41.163CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A piezoelectric beam model with geometric, material and damping nonlinearities for energy harvesting
title A piezoelectric beam model with geometric, material and damping nonlinearities for energy harvesting
spellingShingle A piezoelectric beam model with geometric, material and damping nonlinearities for energy harvesting
Machado, Sebastián Pablo
GEOMETRICAL AND DAMPING NON-LINEARITIES
MATERIAL
MULTIMODAL SYSTEMS
PIEZOELECTRIC ENERGY HARVESTING
REDUCED ALGEBRAIC EQUATIONS
title_short A piezoelectric beam model with geometric, material and damping nonlinearities for energy harvesting
title_full A piezoelectric beam model with geometric, material and damping nonlinearities for energy harvesting
title_fullStr A piezoelectric beam model with geometric, material and damping nonlinearities for energy harvesting
title_full_unstemmed A piezoelectric beam model with geometric, material and damping nonlinearities for energy harvesting
title_sort A piezoelectric beam model with geometric, material and damping nonlinearities for energy harvesting
dc.creator.none.fl_str_mv Machado, Sebastián Pablo
Febbo, Mariano
Gatti, Claudio David
Osinaga, Santiago Manuel
author Machado, Sebastián Pablo
author_facet Machado, Sebastián Pablo
Febbo, Mariano
Gatti, Claudio David
Osinaga, Santiago Manuel
author_role author
author2 Febbo, Mariano
Gatti, Claudio David
Osinaga, Santiago Manuel
author2_role author
author
author
dc.subject.none.fl_str_mv GEOMETRICAL AND DAMPING NON-LINEARITIES
MATERIAL
MULTIMODAL SYSTEMS
PIEZOELECTRIC ENERGY HARVESTING
REDUCED ALGEBRAIC EQUATIONS
topic GEOMETRICAL AND DAMPING NON-LINEARITIES
MATERIAL
MULTIMODAL SYSTEMS
PIEZOELECTRIC ENERGY HARVESTING
REDUCED ALGEBRAIC EQUATIONS
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv To predict electrical generation in piezoelectric small-scale beam energy harvesting devices, it is important to have a complete mathematical model that captures the different associated phenomena. In the literature, some authors propose several alternatives of non-linear mathematical formulations, with non-linearities coming from different physical aspects. All these formulations present good aptitudes to predict the nonlinear behavior of the system under different values of accelerations, geometry and boundary conditions. At the same time, they do not represent a unified general proposal for modeling multimodal energy harvesting devices of any type of mode generation and boundary conditions at large excitations. In this sense, this paper presents a mathematical description of inextensional nonlinear Euler-Bernoulli piezoelectric beams that combines the best contributions of the literature to the voltage generation of multimodal nonlinear piezoelectric energy harvesters (geometric, material and damping non-linearities). The developed analytical model yields a total set of N+ 1 ordinary differential equations for the first N modes and for the output voltage. However, direct solution of this ordinary nonlinear differential system of N equations is computationally costly. Instead, a reduced algebraic system of 2 algebraic equations is proposed applying the method of averaging. Its main advantage is that it makes more suitable and computationally economical for the implementation of a parameter identification process involving any number of piezoelectric inserts (unimorph or bimorph) and mode of generation (d33 or d31). Two types of validations are presented for some selected physical systems to test the validity of the assumptions: a numerical one, by the direct integration of the equations of motion and an experimental one. A final comparison between the results demonstrates the importance of the having a unified nonlinear model to predict the generated voltage in multimodal energy harvesters.
Fil: Machado, Sebastián Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnologica Nacional. Facultad Regional Bahia Blanca. Grupo de Investigacion En Multifisica Aplicada. - Comision de Investigaciones Cientificas de la Provincia de Buenos Aires. Grupo de Investigacion En Multifisica Aplicada.; Argentina
Fil: Febbo, Mariano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina
Fil: Gatti, Claudio David. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnologica Nacional. Facultad Regional Bahia Blanca. Grupo de Investigacion En Multifisica Aplicada. - Comision de Investigaciones Cientificas de la Provincia de Buenos Aires. Grupo de Investigacion En Multifisica Aplicada.; Argentina
Fil: Osinaga, Santiago Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnologica Nacional. Facultad Regional Bahia Blanca. Grupo de Investigacion En Multifisica Aplicada. - Comision de Investigaciones Cientificas de la Provincia de Buenos Aires. Grupo de Investigacion En Multifisica Aplicada.; Argentina
description To predict electrical generation in piezoelectric small-scale beam energy harvesting devices, it is important to have a complete mathematical model that captures the different associated phenomena. In the literature, some authors propose several alternatives of non-linear mathematical formulations, with non-linearities coming from different physical aspects. All these formulations present good aptitudes to predict the nonlinear behavior of the system under different values of accelerations, geometry and boundary conditions. At the same time, they do not represent a unified general proposal for modeling multimodal energy harvesting devices of any type of mode generation and boundary conditions at large excitations. In this sense, this paper presents a mathematical description of inextensional nonlinear Euler-Bernoulli piezoelectric beams that combines the best contributions of the literature to the voltage generation of multimodal nonlinear piezoelectric energy harvesters (geometric, material and damping non-linearities). The developed analytical model yields a total set of N+ 1 ordinary differential equations for the first N modes and for the output voltage. However, direct solution of this ordinary nonlinear differential system of N equations is computationally costly. Instead, a reduced algebraic system of 2 algebraic equations is proposed applying the method of averaging. Its main advantage is that it makes more suitable and computationally economical for the implementation of a parameter identification process involving any number of piezoelectric inserts (unimorph or bimorph) and mode of generation (d33 or d31). Two types of validations are presented for some selected physical systems to test the validity of the assumptions: a numerical one, by the direct integration of the equations of motion and an experimental one. A final comparison between the results demonstrates the importance of the having a unified nonlinear model to predict the generated voltage in multimodal energy harvesters.
publishDate 2020
dc.date.none.fl_str_mv 2020-09-10
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/11336/141221
Machado, Sebastián Pablo; Febbo, Mariano; Gatti, Claudio David; Osinaga, Santiago Manuel; A piezoelectric beam model with geometric, material and damping nonlinearities for energy harvesting; IOP Publishing; Smart Materials & Structures; 29; 9; 10-9-2020; 1-15
0964-1726
CONICET Digital
CONICET
url http://hdl.handle.net/11336/141221
identifier_str_mv Machado, Sebastián Pablo; Febbo, Mariano; Gatti, Claudio David; Osinaga, Santiago Manuel; A piezoelectric beam model with geometric, material and damping nonlinearities for energy harvesting; IOP Publishing; Smart Materials & Structures; 29; 9; 10-9-2020; 1-15
0964-1726
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://iopscience.iop.org/article/10.1088/1361-665X/ab9ddb
info:eu-repo/semantics/altIdentifier/doi/10.1088/1361-665X/ab9ddb
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
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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 13.070432

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