Identification of the Fractional Zener Model Parameters for a Viscoelastic Material over a Wide Range of Frequencies and Temperatures

The paper presents an analysis of the rheological properties of a selected viscoelastic material, which is dedicated to the reduction of vibrations in structures subjected to dynamic loads. A four-parameter, fractional Zener model was used to describe the dynamic behavior of the tested material. The...

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Autores principales:	Zdzisław M. Pawlak, Arkadiusz Denisiewicz
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	viscoelastic materials fractional derivatives frequency and temperature dependence identification of rheological parameters Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
Acceso en línea:	https://doaj.org/article/75cb8ea6276342ed936b9c19abc2257b
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spelling	oai:doaj.org-article:75cb8ea6276342ed936b9c19abc2257b2021-11-25T18:15:45ZIdentification of the Fractional Zener Model Parameters for a Viscoelastic Material over a Wide Range of Frequencies and Temperatures10.3390/ma142270241996-1944https://doaj.org/article/75cb8ea6276342ed936b9c19abc2257b2021-11-01T00:00:00Zhttps://www.mdpi.com/1996-1944/14/22/7024https://doaj.org/toc/1996-1944The paper presents an analysis of the rheological properties of a selected viscoelastic material, which is dedicated to the reduction of vibrations in structures subjected to dynamic loads. A four-parameter, fractional Zener model was used to describe the dynamic behavior of the tested material. The model parameters were identified on the basis of laboratory tests performed at different temperatures and for different vibration frequencies. After proving that the material is thermoreologically simple, the so-called master curves were created using a horizontal shift factor. The Williams–Landel–Ferry formula was applied to create graphs of the master curves, the constants of which were determined for the selected temperature. The resulting storage and loss module functions spanned several decades in the frequency domain. The parameters of the fractional Zener model were identified by fitting the entire range of the master curves with the gradientless method (i.e., Particle Swarm Optimization), consisting in searching for the best-fitted solution in a set of feasible solutions. The parametric analysis of the obtained solutions allowed for the formulation of conclusions regarding the effectiveness of the applied rheological model.Zdzisław M. PawlakArkadiusz DenisiewiczMDPI AGarticleviscoelastic materialsfractional derivativesfrequency and temperature dependenceidentification of rheological parametersTechnologyTElectrical engineering. Electronics. Nuclear engineeringTK1-9971Engineering (General). Civil engineering (General)TA1-2040MicroscopyQH201-278.5Descriptive and experimental mechanicsQC120-168.85ENMaterials, Vol 14, Iss 7024, p 7024 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	viscoelastic materials fractional derivatives frequency and temperature dependence identification of rheological parameters Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
spellingShingle	viscoelastic materials fractional derivatives frequency and temperature dependence identification of rheological parameters Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85 Zdzisław M. Pawlak Arkadiusz Denisiewicz Identification of the Fractional Zener Model Parameters for a Viscoelastic Material over a Wide Range of Frequencies and Temperatures
description	The paper presents an analysis of the rheological properties of a selected viscoelastic material, which is dedicated to the reduction of vibrations in structures subjected to dynamic loads. A four-parameter, fractional Zener model was used to describe the dynamic behavior of the tested material. The model parameters were identified on the basis of laboratory tests performed at different temperatures and for different vibration frequencies. After proving that the material is thermoreologically simple, the so-called master curves were created using a horizontal shift factor. The Williams–Landel–Ferry formula was applied to create graphs of the master curves, the constants of which were determined for the selected temperature. The resulting storage and loss module functions spanned several decades in the frequency domain. The parameters of the fractional Zener model were identified by fitting the entire range of the master curves with the gradientless method (i.e., Particle Swarm Optimization), consisting in searching for the best-fitted solution in a set of feasible solutions. The parametric analysis of the obtained solutions allowed for the formulation of conclusions regarding the effectiveness of the applied rheological model.
format	article
author	Zdzisław M. Pawlak Arkadiusz Denisiewicz
author_facet	Zdzisław M. Pawlak Arkadiusz Denisiewicz
author_sort	Zdzisław M. Pawlak
title	Identification of the Fractional Zener Model Parameters for a Viscoelastic Material over a Wide Range of Frequencies and Temperatures
title_short	Identification of the Fractional Zener Model Parameters for a Viscoelastic Material over a Wide Range of Frequencies and Temperatures
title_full	Identification of the Fractional Zener Model Parameters for a Viscoelastic Material over a Wide Range of Frequencies and Temperatures
title_fullStr	Identification of the Fractional Zener Model Parameters for a Viscoelastic Material over a Wide Range of Frequencies and Temperatures
title_full_unstemmed	Identification of the Fractional Zener Model Parameters for a Viscoelastic Material over a Wide Range of Frequencies and Temperatures
title_sort	identification of the fractional zener model parameters for a viscoelastic material over a wide range of frequencies and temperatures
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/75cb8ea6276342ed936b9c19abc2257b
work_keys_str_mv	AT zdzisławmpawlak identificationofthefractionalzenermodelparametersforaviscoelasticmaterialoverawiderangeoffrequenciesandtemperatures AT arkadiuszdenisiewicz identificationofthefractionalzenermodelparametersforaviscoelasticmaterialoverawiderangeoffrequenciesandtemperatures
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Identification of the Fractional Zener Model Parameters for a Viscoelastic Material over a Wide Range of Frequencies and Temperatures

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