Thermoelastic damping in a thin circular transversely isotropic Kirchhoff–Love plate due to GN theory of type III
Abstract This research deals with the study of thermoelastic damping in transversely isotropic thin circular Kirchhoff–Love plate. Mathematical model is formed for time-harmonic displacement and temperature fields due to the GN theory of thermoelasticity of type III. The model is solved to obtain th...
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| Autor*in: |
Kaur, Iqbal [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Archive of applied mechanics - Springer Berlin Heidelberg, 1991, 91(2021), 5 vom: 05. Feb., Seite 2143-2157 |
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| Übergeordnetes Werk: |
volume:91 ; year:2021 ; number:5 ; day:05 ; month:02 ; pages:2143-2157 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00419-020-01874-1 |
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OLC2125307219 |
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| 520 | |a Abstract This research deals with the study of thermoelastic damping in transversely isotropic thin circular Kirchhoff–Love plate. Mathematical model is formed for time-harmonic displacement and temperature fields due to the GN theory of thermoelasticity of type III. The model is solved to obtain the expressions for thermoelastic damping, displacement, and temperature fields for circumferential surface wave modes for simply supported and clamped plate resonators. The numerical results for both the simply supported and clamped boundary conditions for an axisymmetric circular plate are illustrated. It is observed that the damping of vibrations is considerably influenced by surface wave modes. The thickness of the plate also has major effects on the vibrations of resonators. The computer-simulated results to illustrate the effect of circumferential surface wave modes on thermoelastic damping for the GN III theory of thermoelasticity have been depicted graphically. | ||
| 650 | 4 | |a Thin circular plate | |
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10.1007/s00419-020-01874-1 doi (DE-627)OLC2125307219 (DE-He213)s00419-020-01874-1-p DE-627 ger DE-627 rakwb eng 690 VZ Kaur, Iqbal verfasserin (orcid)0000-0002-2210-7701 aut Thermoelastic damping in a thin circular transversely isotropic Kirchhoff–Love plate due to GN theory of type III 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature 2021 Abstract This research deals with the study of thermoelastic damping in transversely isotropic thin circular Kirchhoff–Love plate. Mathematical model is formed for time-harmonic displacement and temperature fields due to the GN theory of thermoelasticity of type III. The model is solved to obtain the expressions for thermoelastic damping, displacement, and temperature fields for circumferential surface wave modes for simply supported and clamped plate resonators. The numerical results for both the simply supported and clamped boundary conditions for an axisymmetric circular plate are illustrated. It is observed that the damping of vibrations is considerably influenced by surface wave modes. The thickness of the plate also has major effects on the vibrations of resonators. The computer-simulated results to illustrate the effect of circumferential surface wave modes on thermoelastic damping for the GN III theory of thermoelasticity have been depicted graphically. Thin circular plate Lateral deflection Thermal moment Transversely isotropic thermoelastic Singh, Kulvinder aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2021), 5 vom: 05. Feb., Seite 2143-2157 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2021 number:5 day:05 month:02 pages:2143-2157 https://doi.org/10.1007/s00419-020-01874-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2021 5 05 02 2143-2157 |
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10.1007/s00419-020-01874-1 doi (DE-627)OLC2125307219 (DE-He213)s00419-020-01874-1-p DE-627 ger DE-627 rakwb eng 690 VZ Kaur, Iqbal verfasserin (orcid)0000-0002-2210-7701 aut Thermoelastic damping in a thin circular transversely isotropic Kirchhoff–Love plate due to GN theory of type III 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature 2021 Abstract This research deals with the study of thermoelastic damping in transversely isotropic thin circular Kirchhoff–Love plate. Mathematical model is formed for time-harmonic displacement and temperature fields due to the GN theory of thermoelasticity of type III. The model is solved to obtain the expressions for thermoelastic damping, displacement, and temperature fields for circumferential surface wave modes for simply supported and clamped plate resonators. The numerical results for both the simply supported and clamped boundary conditions for an axisymmetric circular plate are illustrated. It is observed that the damping of vibrations is considerably influenced by surface wave modes. The thickness of the plate also has major effects on the vibrations of resonators. The computer-simulated results to illustrate the effect of circumferential surface wave modes on thermoelastic damping for the GN III theory of thermoelasticity have been depicted graphically. Thin circular plate Lateral deflection Thermal moment Transversely isotropic thermoelastic Singh, Kulvinder aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2021), 5 vom: 05. Feb., Seite 2143-2157 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2021 number:5 day:05 month:02 pages:2143-2157 https://doi.org/10.1007/s00419-020-01874-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2021 5 05 02 2143-2157 |
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10.1007/s00419-020-01874-1 doi (DE-627)OLC2125307219 (DE-He213)s00419-020-01874-1-p DE-627 ger DE-627 rakwb eng 690 VZ Kaur, Iqbal verfasserin (orcid)0000-0002-2210-7701 aut Thermoelastic damping in a thin circular transversely isotropic Kirchhoff–Love plate due to GN theory of type III 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature 2021 Abstract This research deals with the study of thermoelastic damping in transversely isotropic thin circular Kirchhoff–Love plate. Mathematical model is formed for time-harmonic displacement and temperature fields due to the GN theory of thermoelasticity of type III. The model is solved to obtain the expressions for thermoelastic damping, displacement, and temperature fields for circumferential surface wave modes for simply supported and clamped plate resonators. The numerical results for both the simply supported and clamped boundary conditions for an axisymmetric circular plate are illustrated. It is observed that the damping of vibrations is considerably influenced by surface wave modes. The thickness of the plate also has major effects on the vibrations of resonators. The computer-simulated results to illustrate the effect of circumferential surface wave modes on thermoelastic damping for the GN III theory of thermoelasticity have been depicted graphically. Thin circular plate Lateral deflection Thermal moment Transversely isotropic thermoelastic Singh, Kulvinder aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2021), 5 vom: 05. Feb., Seite 2143-2157 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2021 number:5 day:05 month:02 pages:2143-2157 https://doi.org/10.1007/s00419-020-01874-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2021 5 05 02 2143-2157 |
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10.1007/s00419-020-01874-1 doi (DE-627)OLC2125307219 (DE-He213)s00419-020-01874-1-p DE-627 ger DE-627 rakwb eng 690 VZ Kaur, Iqbal verfasserin (orcid)0000-0002-2210-7701 aut Thermoelastic damping in a thin circular transversely isotropic Kirchhoff–Love plate due to GN theory of type III 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature 2021 Abstract This research deals with the study of thermoelastic damping in transversely isotropic thin circular Kirchhoff–Love plate. Mathematical model is formed for time-harmonic displacement and temperature fields due to the GN theory of thermoelasticity of type III. The model is solved to obtain the expressions for thermoelastic damping, displacement, and temperature fields for circumferential surface wave modes for simply supported and clamped plate resonators. The numerical results for both the simply supported and clamped boundary conditions for an axisymmetric circular plate are illustrated. It is observed that the damping of vibrations is considerably influenced by surface wave modes. The thickness of the plate also has major effects on the vibrations of resonators. The computer-simulated results to illustrate the effect of circumferential surface wave modes on thermoelastic damping for the GN III theory of thermoelasticity have been depicted graphically. Thin circular plate Lateral deflection Thermal moment Transversely isotropic thermoelastic Singh, Kulvinder aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2021), 5 vom: 05. Feb., Seite 2143-2157 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2021 number:5 day:05 month:02 pages:2143-2157 https://doi.org/10.1007/s00419-020-01874-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2021 5 05 02 2143-2157 |
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10.1007/s00419-020-01874-1 doi (DE-627)OLC2125307219 (DE-He213)s00419-020-01874-1-p DE-627 ger DE-627 rakwb eng 690 VZ Kaur, Iqbal verfasserin (orcid)0000-0002-2210-7701 aut Thermoelastic damping in a thin circular transversely isotropic Kirchhoff–Love plate due to GN theory of type III 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature 2021 Abstract This research deals with the study of thermoelastic damping in transversely isotropic thin circular Kirchhoff–Love plate. Mathematical model is formed for time-harmonic displacement and temperature fields due to the GN theory of thermoelasticity of type III. The model is solved to obtain the expressions for thermoelastic damping, displacement, and temperature fields for circumferential surface wave modes for simply supported and clamped plate resonators. The numerical results for both the simply supported and clamped boundary conditions for an axisymmetric circular plate are illustrated. It is observed that the damping of vibrations is considerably influenced by surface wave modes. The thickness of the plate also has major effects on the vibrations of resonators. The computer-simulated results to illustrate the effect of circumferential surface wave modes on thermoelastic damping for the GN III theory of thermoelasticity have been depicted graphically. Thin circular plate Lateral deflection Thermal moment Transversely isotropic thermoelastic Singh, Kulvinder aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2021), 5 vom: 05. Feb., Seite 2143-2157 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2021 number:5 day:05 month:02 pages:2143-2157 https://doi.org/10.1007/s00419-020-01874-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2021 5 05 02 2143-2157 |
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Thermoelastic damping in a thin circular transversely isotropic Kirchhoff–Love plate due to GN theory of type III |
| abstract |
Abstract This research deals with the study of thermoelastic damping in transversely isotropic thin circular Kirchhoff–Love plate. Mathematical model is formed for time-harmonic displacement and temperature fields due to the GN theory of thermoelasticity of type III. The model is solved to obtain the expressions for thermoelastic damping, displacement, and temperature fields for circumferential surface wave modes for simply supported and clamped plate resonators. The numerical results for both the simply supported and clamped boundary conditions for an axisymmetric circular plate are illustrated. It is observed that the damping of vibrations is considerably influenced by surface wave modes. The thickness of the plate also has major effects on the vibrations of resonators. The computer-simulated results to illustrate the effect of circumferential surface wave modes on thermoelastic damping for the GN III theory of thermoelasticity have been depicted graphically. © The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature 2021 |
| abstractGer |
Abstract This research deals with the study of thermoelastic damping in transversely isotropic thin circular Kirchhoff–Love plate. Mathematical model is formed for time-harmonic displacement and temperature fields due to the GN theory of thermoelasticity of type III. The model is solved to obtain the expressions for thermoelastic damping, displacement, and temperature fields for circumferential surface wave modes for simply supported and clamped plate resonators. The numerical results for both the simply supported and clamped boundary conditions for an axisymmetric circular plate are illustrated. It is observed that the damping of vibrations is considerably influenced by surface wave modes. The thickness of the plate also has major effects on the vibrations of resonators. The computer-simulated results to illustrate the effect of circumferential surface wave modes on thermoelastic damping for the GN III theory of thermoelasticity have been depicted graphically. © The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature 2021 |
| abstract_unstemmed |
Abstract This research deals with the study of thermoelastic damping in transversely isotropic thin circular Kirchhoff–Love plate. Mathematical model is formed for time-harmonic displacement and temperature fields due to the GN theory of thermoelasticity of type III. The model is solved to obtain the expressions for thermoelastic damping, displacement, and temperature fields for circumferential surface wave modes for simply supported and clamped plate resonators. The numerical results for both the simply supported and clamped boundary conditions for an axisymmetric circular plate are illustrated. It is observed that the damping of vibrations is considerably influenced by surface wave modes. The thickness of the plate also has major effects on the vibrations of resonators. The computer-simulated results to illustrate the effect of circumferential surface wave modes on thermoelastic damping for the GN III theory of thermoelasticity have been depicted graphically. © The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature 2021 |
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| title_short |
Thermoelastic damping in a thin circular transversely isotropic Kirchhoff–Love plate due to GN theory of type III |
| url |
https://doi.org/10.1007/s00419-020-01874-1 |
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| author2 |
Singh, Kulvinder |
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Singh, Kulvinder |
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| doi_str |
10.1007/s00419-020-01874-1 |
| up_date |
2024-07-04T03:15:40.178Z |
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