Modeling beam-like planar structures by a one-dimensional continuum: an analytical-numerical method

In this paper, beam-like structures, macroscopically behaving as planar Timoshenko beams, are considered. Planar frames, made by periodic assemblies of micro-beams and columns, are taken as examples of these structures and the effectiveness of the equivalent beam model in describing their mechanical...
Ausführliche Beschreibung

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Autor*in:	Manuel Ferretti [verfasserIn] Francesco D’Annibale [verfasserIn] Angelo Luongo [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	beam-like structures equivalent beam model timoshenko beam homogenization procedure

Übergeordnetes Werk:	In: Journal of Applied and Computational Mechanics - Shahid Chamran University of Ahvaz, 2016, 7(2021), Special Issue, Seite 1020-1033
Übergeordnetes Werk:	volume:7 ; year:2021 ; number:Special Issue ; pages:1020-1033

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc Journal toc

DOI / URN:	10.22055/jacm.2020.33100.2150

Katalog-ID:	DOAJ06880203X

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allfields	10.22055/jacm.2020.33100.2150 doi (DE-627)DOAJ06880203X (DE-599)DOAJ6125e412f08f4bceb49abde478181ec2 DE-627 ger DE-627 rakwb eng TA349-359 Manuel Ferretti verfasserin aut Modeling beam-like planar structures by a one-dimensional continuum: an analytical-numerical method 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, beam-like structures, macroscopically behaving as planar Timoshenko beams, are considered. Planar frames, made by periodic assemblies of micro-beams and columns, are taken as examples of these structures and the effectiveness of the equivalent beam model in describing their mechanical behavior, is investigated. The Timoshenko beam (coarse model) is formulated via the direct one-dimensional approach, by considering rigid cross-sections and flexible axis-line, while its constitutive laws is determined through a homogenization procedure. An identification algorithm for evaluation of the constitutive constants is illustrated, based on Finite Element analyses of the cell of the periodic system. The inertial properties of the equivalent model are instead analytically identified under the hypothesis the masses are lumped at the joints. The advantages in using the equivalent model are discussed with reference to the linear static and dynamic responses of some planar frames, taken as case-studies, for which both analytical and numerical tools are used. Numerical results, obtained by the equivalent model, are compared with Finite Element analyses on planar frames (fine models), considering both symmetric and not-symmetric layouts, in order to show to effectiveness of the proposed algorithm. A comparison with analytical results is carried out to validate the limits of applicability of the method. beam-like structures equivalent beam model timoshenko beam homogenization procedure Mechanics of engineering. Applied mechanics Francesco D’Annibale verfasserin aut Angelo Luongo verfasserin aut In Journal of Applied and Computational Mechanics Shahid Chamran University of Ahvaz, 2016 7(2021), Special Issue, Seite 1020-1033 (DE-627)893737488 (DE-600)2900043-9 23834536 nnns volume:7 year:2021 number:Special Issue pages:1020-1033 https://doi.org/10.22055/jacm.2020.33100.2150 kostenfrei https://doaj.org/article/6125e412f08f4bceb49abde478181ec2 kostenfrei https://jacm.scu.ac.ir/article_15523_0a281329cdcce2d625b8eb5748e182e6.pdf kostenfrei https://doaj.org/toc/2383-4536 Journal toc kostenfrei https://doaj.org/toc/2383-4536 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2021 Special Issue 1020-1033
spelling	10.22055/jacm.2020.33100.2150 doi (DE-627)DOAJ06880203X (DE-599)DOAJ6125e412f08f4bceb49abde478181ec2 DE-627 ger DE-627 rakwb eng TA349-359 Manuel Ferretti verfasserin aut Modeling beam-like planar structures by a one-dimensional continuum: an analytical-numerical method 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, beam-like structures, macroscopically behaving as planar Timoshenko beams, are considered. Planar frames, made by periodic assemblies of micro-beams and columns, are taken as examples of these structures and the effectiveness of the equivalent beam model in describing their mechanical behavior, is investigated. The Timoshenko beam (coarse model) is formulated via the direct one-dimensional approach, by considering rigid cross-sections and flexible axis-line, while its constitutive laws is determined through a homogenization procedure. An identification algorithm for evaluation of the constitutive constants is illustrated, based on Finite Element analyses of the cell of the periodic system. The inertial properties of the equivalent model are instead analytically identified under the hypothesis the masses are lumped at the joints. The advantages in using the equivalent model are discussed with reference to the linear static and dynamic responses of some planar frames, taken as case-studies, for which both analytical and numerical tools are used. Numerical results, obtained by the equivalent model, are compared with Finite Element analyses on planar frames (fine models), considering both symmetric and not-symmetric layouts, in order to show to effectiveness of the proposed algorithm. A comparison with analytical results is carried out to validate the limits of applicability of the method. beam-like structures equivalent beam model timoshenko beam homogenization procedure Mechanics of engineering. Applied mechanics Francesco D’Annibale verfasserin aut Angelo Luongo verfasserin aut In Journal of Applied and Computational Mechanics Shahid Chamran University of Ahvaz, 2016 7(2021), Special Issue, Seite 1020-1033 (DE-627)893737488 (DE-600)2900043-9 23834536 nnns volume:7 year:2021 number:Special Issue pages:1020-1033 https://doi.org/10.22055/jacm.2020.33100.2150 kostenfrei https://doaj.org/article/6125e412f08f4bceb49abde478181ec2 kostenfrei https://jacm.scu.ac.ir/article_15523_0a281329cdcce2d625b8eb5748e182e6.pdf kostenfrei https://doaj.org/toc/2383-4536 Journal toc kostenfrei https://doaj.org/toc/2383-4536 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2021 Special Issue 1020-1033
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allfieldsSound	10.22055/jacm.2020.33100.2150 doi (DE-627)DOAJ06880203X (DE-599)DOAJ6125e412f08f4bceb49abde478181ec2 DE-627 ger DE-627 rakwb eng TA349-359 Manuel Ferretti verfasserin aut Modeling beam-like planar structures by a one-dimensional continuum: an analytical-numerical method 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, beam-like structures, macroscopically behaving as planar Timoshenko beams, are considered. Planar frames, made by periodic assemblies of micro-beams and columns, are taken as examples of these structures and the effectiveness of the equivalent beam model in describing their mechanical behavior, is investigated. The Timoshenko beam (coarse model) is formulated via the direct one-dimensional approach, by considering rigid cross-sections and flexible axis-line, while its constitutive laws is determined through a homogenization procedure. An identification algorithm for evaluation of the constitutive constants is illustrated, based on Finite Element analyses of the cell of the periodic system. The inertial properties of the equivalent model are instead analytically identified under the hypothesis the masses are lumped at the joints. The advantages in using the equivalent model are discussed with reference to the linear static and dynamic responses of some planar frames, taken as case-studies, for which both analytical and numerical tools are used. Numerical results, obtained by the equivalent model, are compared with Finite Element analyses on planar frames (fine models), considering both symmetric and not-symmetric layouts, in order to show to effectiveness of the proposed algorithm. A comparison with analytical results is carried out to validate the limits of applicability of the method. beam-like structures equivalent beam model timoshenko beam homogenization procedure Mechanics of engineering. Applied mechanics Francesco D’Annibale verfasserin aut Angelo Luongo verfasserin aut In Journal of Applied and Computational Mechanics Shahid Chamran University of Ahvaz, 2016 7(2021), Special Issue, Seite 1020-1033 (DE-627)893737488 (DE-600)2900043-9 23834536 nnns volume:7 year:2021 number:Special Issue pages:1020-1033 https://doi.org/10.22055/jacm.2020.33100.2150 kostenfrei https://doaj.org/article/6125e412f08f4bceb49abde478181ec2 kostenfrei https://jacm.scu.ac.ir/article_15523_0a281329cdcce2d625b8eb5748e182e6.pdf kostenfrei https://doaj.org/toc/2383-4536 Journal toc kostenfrei https://doaj.org/toc/2383-4536 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2021 Special Issue 1020-1033
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callnumber-first	T - Technology
author	Manuel Ferretti
spellingShingle	Manuel Ferretti misc TA349-359 misc beam-like structures misc equivalent beam model misc timoshenko beam misc homogenization procedure misc Mechanics of engineering. Applied mechanics Modeling beam-like planar structures by a one-dimensional continuum: an analytical-numerical method
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topic_title	TA349-359 Modeling beam-like planar structures by a one-dimensional continuum: an analytical-numerical method beam-like structures equivalent beam model timoshenko beam homogenization procedure
topic	misc TA349-359 misc beam-like structures misc equivalent beam model misc timoshenko beam misc homogenization procedure misc Mechanics of engineering. Applied mechanics
topic_unstemmed	misc TA349-359 misc beam-like structures misc equivalent beam model misc timoshenko beam misc homogenization procedure misc Mechanics of engineering. Applied mechanics
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title	Modeling beam-like planar structures by a one-dimensional continuum: an analytical-numerical method
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title_sort	modeling beam-like planar structures by a one-dimensional continuum: an analytical-numerical method
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title_auth	Modeling beam-like planar structures by a one-dimensional continuum: an analytical-numerical method
abstract	In this paper, beam-like structures, macroscopically behaving as planar Timoshenko beams, are considered. Planar frames, made by periodic assemblies of micro-beams and columns, are taken as examples of these structures and the effectiveness of the equivalent beam model in describing their mechanical behavior, is investigated. The Timoshenko beam (coarse model) is formulated via the direct one-dimensional approach, by considering rigid cross-sections and flexible axis-line, while its constitutive laws is determined through a homogenization procedure. An identification algorithm for evaluation of the constitutive constants is illustrated, based on Finite Element analyses of the cell of the periodic system. The inertial properties of the equivalent model are instead analytically identified under the hypothesis the masses are lumped at the joints. The advantages in using the equivalent model are discussed with reference to the linear static and dynamic responses of some planar frames, taken as case-studies, for which both analytical and numerical tools are used. Numerical results, obtained by the equivalent model, are compared with Finite Element analyses on planar frames (fine models), considering both symmetric and not-symmetric layouts, in order to show to effectiveness of the proposed algorithm. A comparison with analytical results is carried out to validate the limits of applicability of the method.
abstractGer	In this paper, beam-like structures, macroscopically behaving as planar Timoshenko beams, are considered. Planar frames, made by periodic assemblies of micro-beams and columns, are taken as examples of these structures and the effectiveness of the equivalent beam model in describing their mechanical behavior, is investigated. The Timoshenko beam (coarse model) is formulated via the direct one-dimensional approach, by considering rigid cross-sections and flexible axis-line, while its constitutive laws is determined through a homogenization procedure. An identification algorithm for evaluation of the constitutive constants is illustrated, based on Finite Element analyses of the cell of the periodic system. The inertial properties of the equivalent model are instead analytically identified under the hypothesis the masses are lumped at the joints. The advantages in using the equivalent model are discussed with reference to the linear static and dynamic responses of some planar frames, taken as case-studies, for which both analytical and numerical tools are used. Numerical results, obtained by the equivalent model, are compared with Finite Element analyses on planar frames (fine models), considering both symmetric and not-symmetric layouts, in order to show to effectiveness of the proposed algorithm. A comparison with analytical results is carried out to validate the limits of applicability of the method.
abstract_unstemmed	In this paper, beam-like structures, macroscopically behaving as planar Timoshenko beams, are considered. Planar frames, made by periodic assemblies of micro-beams and columns, are taken as examples of these structures and the effectiveness of the equivalent beam model in describing their mechanical behavior, is investigated. The Timoshenko beam (coarse model) is formulated via the direct one-dimensional approach, by considering rigid cross-sections and flexible axis-line, while its constitutive laws is determined through a homogenization procedure. An identification algorithm for evaluation of the constitutive constants is illustrated, based on Finite Element analyses of the cell of the periodic system. The inertial properties of the equivalent model are instead analytically identified under the hypothesis the masses are lumped at the joints. The advantages in using the equivalent model are discussed with reference to the linear static and dynamic responses of some planar frames, taken as case-studies, for which both analytical and numerical tools are used. Numerical results, obtained by the equivalent model, are compared with Finite Element analyses on planar frames (fine models), considering both symmetric and not-symmetric layouts, in order to show to effectiveness of the proposed algorithm. A comparison with analytical results is carried out to validate the limits of applicability of the method.
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container_issue	Special Issue
title_short	Modeling beam-like planar structures by a one-dimensional continuum: an analytical-numerical method
url	https://doi.org/10.22055/jacm.2020.33100.2150 https://doaj.org/article/6125e412f08f4bceb49abde478181ec2 https://jacm.scu.ac.ir/article_15523_0a281329cdcce2d625b8eb5748e182e6.pdf https://doaj.org/toc/2383-4536
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Modeling beam-like planar structures by a one-dimensional continuum: an analytical-numerical method

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