Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique
Abstract The current research is concerned with the small- and large-amplitude free vibrations of a composite beam made of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) media. It is assumed that the beam is operating in a uniform temperature field, which results in thermally pr...
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Gespeichert in:
| Autor*in: |
Babaei, Hadi [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer Vienna, 1965, 232(2021), 10 vom: 26. Juli, Seite 3897-3915 |
|---|---|
| Übergeordnetes Werk: |
volume:232 ; year:2021 ; number:10 ; day:26 ; month:07 ; pages:3897-3915 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00707-021-03027-z |
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OLC2077123583 |
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| 520 | |a Abstract The current research is concerned with the small- and large-amplitude free vibrations of a composite beam made of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) media. It is assumed that the beam is operating in a uniform temperature field, which results in thermally pre-buckled or post-buckled configurations. It is further assumed that a three-parameter nonlinear elastic foundation is in contact with the beam during deformation which acts in compression as well as in tension. The elastic material properties of the beam are evaluated by using a modified rule of mixtures scheme which contains efficiency parameters. The thermomechanical properties of the beam are assumed as temperature dependent. The motion equations of the beam are established using three different beam models, namely first-order, third-order, and sinusoidal beam theories. The obtained equations are reformulated using the fact that both ends of the beam are immovable in axial direction. The established equations are transformed into dimensionless presentation. After that, suitable for beams with both ends pinned, with the aid of the two-step perturbation technique, closed-form expressions are provided for small- and large-amplitude free vibrations of FG-CNTRC beams in thermally pre-buckled or post-buckled states. Results of this study are first validated with the available data in the open literature. After that, novel numerical results are provided to explore the effects of geometrical parameters of the beam, foundation stiffness, temperature variation, and different beam theories. | ||
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10.1007/s00707-021-03027-z doi (DE-627)OLC2077123583 (DE-He213)s00707-021-03027-z-p DE-627 ger DE-627 rakwb eng 530 VZ Babaei, Hadi verfasserin (orcid)0000-0002-5052-7025 aut Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2021 Abstract The current research is concerned with the small- and large-amplitude free vibrations of a composite beam made of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) media. It is assumed that the beam is operating in a uniform temperature field, which results in thermally pre-buckled or post-buckled configurations. It is further assumed that a three-parameter nonlinear elastic foundation is in contact with the beam during deformation which acts in compression as well as in tension. The elastic material properties of the beam are evaluated by using a modified rule of mixtures scheme which contains efficiency parameters. The thermomechanical properties of the beam are assumed as temperature dependent. The motion equations of the beam are established using three different beam models, namely first-order, third-order, and sinusoidal beam theories. The obtained equations are reformulated using the fact that both ends of the beam are immovable in axial direction. The established equations are transformed into dimensionless presentation. After that, suitable for beams with both ends pinned, with the aid of the two-step perturbation technique, closed-form expressions are provided for small- and large-amplitude free vibrations of FG-CNTRC beams in thermally pre-buckled or post-buckled states. Results of this study are first validated with the available data in the open literature. After that, novel numerical results are provided to explore the effects of geometrical parameters of the beam, foundation stiffness, temperature variation, and different beam theories. Kiani, Yaser aut Eslami, M. Reza aut Enthalten in Acta mechanica Springer Vienna, 1965 232(2021), 10 vom: 26. Juli, Seite 3897-3915 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:232 year:2021 number:10 day:26 month:07 pages:3897-3915 https://doi.org/10.1007/s00707-021-03027-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_59 AR 232 2021 10 26 07 3897-3915 |
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10.1007/s00707-021-03027-z doi (DE-627)OLC2077123583 (DE-He213)s00707-021-03027-z-p DE-627 ger DE-627 rakwb eng 530 VZ Babaei, Hadi verfasserin (orcid)0000-0002-5052-7025 aut Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2021 Abstract The current research is concerned with the small- and large-amplitude free vibrations of a composite beam made of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) media. It is assumed that the beam is operating in a uniform temperature field, which results in thermally pre-buckled or post-buckled configurations. It is further assumed that a three-parameter nonlinear elastic foundation is in contact with the beam during deformation which acts in compression as well as in tension. The elastic material properties of the beam are evaluated by using a modified rule of mixtures scheme which contains efficiency parameters. The thermomechanical properties of the beam are assumed as temperature dependent. The motion equations of the beam are established using three different beam models, namely first-order, third-order, and sinusoidal beam theories. The obtained equations are reformulated using the fact that both ends of the beam are immovable in axial direction. The established equations are transformed into dimensionless presentation. After that, suitable for beams with both ends pinned, with the aid of the two-step perturbation technique, closed-form expressions are provided for small- and large-amplitude free vibrations of FG-CNTRC beams in thermally pre-buckled or post-buckled states. Results of this study are first validated with the available data in the open literature. After that, novel numerical results are provided to explore the effects of geometrical parameters of the beam, foundation stiffness, temperature variation, and different beam theories. Kiani, Yaser aut Eslami, M. Reza aut Enthalten in Acta mechanica Springer Vienna, 1965 232(2021), 10 vom: 26. Juli, Seite 3897-3915 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:232 year:2021 number:10 day:26 month:07 pages:3897-3915 https://doi.org/10.1007/s00707-021-03027-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_59 AR 232 2021 10 26 07 3897-3915 |
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10.1007/s00707-021-03027-z doi (DE-627)OLC2077123583 (DE-He213)s00707-021-03027-z-p DE-627 ger DE-627 rakwb eng 530 VZ Babaei, Hadi verfasserin (orcid)0000-0002-5052-7025 aut Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2021 Abstract The current research is concerned with the small- and large-amplitude free vibrations of a composite beam made of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) media. It is assumed that the beam is operating in a uniform temperature field, which results in thermally pre-buckled or post-buckled configurations. It is further assumed that a three-parameter nonlinear elastic foundation is in contact with the beam during deformation which acts in compression as well as in tension. The elastic material properties of the beam are evaluated by using a modified rule of mixtures scheme which contains efficiency parameters. The thermomechanical properties of the beam are assumed as temperature dependent. The motion equations of the beam are established using three different beam models, namely first-order, third-order, and sinusoidal beam theories. The obtained equations are reformulated using the fact that both ends of the beam are immovable in axial direction. The established equations are transformed into dimensionless presentation. After that, suitable for beams with both ends pinned, with the aid of the two-step perturbation technique, closed-form expressions are provided for small- and large-amplitude free vibrations of FG-CNTRC beams in thermally pre-buckled or post-buckled states. Results of this study are first validated with the available data in the open literature. After that, novel numerical results are provided to explore the effects of geometrical parameters of the beam, foundation stiffness, temperature variation, and different beam theories. Kiani, Yaser aut Eslami, M. Reza aut Enthalten in Acta mechanica Springer Vienna, 1965 232(2021), 10 vom: 26. Juli, Seite 3897-3915 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:232 year:2021 number:10 day:26 month:07 pages:3897-3915 https://doi.org/10.1007/s00707-021-03027-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_59 AR 232 2021 10 26 07 3897-3915 |
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10.1007/s00707-021-03027-z doi (DE-627)OLC2077123583 (DE-He213)s00707-021-03027-z-p DE-627 ger DE-627 rakwb eng 530 VZ Babaei, Hadi verfasserin (orcid)0000-0002-5052-7025 aut Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2021 Abstract The current research is concerned with the small- and large-amplitude free vibrations of a composite beam made of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) media. It is assumed that the beam is operating in a uniform temperature field, which results in thermally pre-buckled or post-buckled configurations. It is further assumed that a three-parameter nonlinear elastic foundation is in contact with the beam during deformation which acts in compression as well as in tension. The elastic material properties of the beam are evaluated by using a modified rule of mixtures scheme which contains efficiency parameters. The thermomechanical properties of the beam are assumed as temperature dependent. The motion equations of the beam are established using three different beam models, namely first-order, third-order, and sinusoidal beam theories. The obtained equations are reformulated using the fact that both ends of the beam are immovable in axial direction. The established equations are transformed into dimensionless presentation. After that, suitable for beams with both ends pinned, with the aid of the two-step perturbation technique, closed-form expressions are provided for small- and large-amplitude free vibrations of FG-CNTRC beams in thermally pre-buckled or post-buckled states. Results of this study are first validated with the available data in the open literature. After that, novel numerical results are provided to explore the effects of geometrical parameters of the beam, foundation stiffness, temperature variation, and different beam theories. Kiani, Yaser aut Eslami, M. Reza aut Enthalten in Acta mechanica Springer Vienna, 1965 232(2021), 10 vom: 26. Juli, Seite 3897-3915 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:232 year:2021 number:10 day:26 month:07 pages:3897-3915 https://doi.org/10.1007/s00707-021-03027-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_59 AR 232 2021 10 26 07 3897-3915 |
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10.1007/s00707-021-03027-z doi (DE-627)OLC2077123583 (DE-He213)s00707-021-03027-z-p DE-627 ger DE-627 rakwb eng 530 VZ Babaei, Hadi verfasserin (orcid)0000-0002-5052-7025 aut Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2021 Abstract The current research is concerned with the small- and large-amplitude free vibrations of a composite beam made of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) media. It is assumed that the beam is operating in a uniform temperature field, which results in thermally pre-buckled or post-buckled configurations. It is further assumed that a three-parameter nonlinear elastic foundation is in contact with the beam during deformation which acts in compression as well as in tension. The elastic material properties of the beam are evaluated by using a modified rule of mixtures scheme which contains efficiency parameters. The thermomechanical properties of the beam are assumed as temperature dependent. The motion equations of the beam are established using three different beam models, namely first-order, third-order, and sinusoidal beam theories. The obtained equations are reformulated using the fact that both ends of the beam are immovable in axial direction. The established equations are transformed into dimensionless presentation. After that, suitable for beams with both ends pinned, with the aid of the two-step perturbation technique, closed-form expressions are provided for small- and large-amplitude free vibrations of FG-CNTRC beams in thermally pre-buckled or post-buckled states. Results of this study are first validated with the available data in the open literature. After that, novel numerical results are provided to explore the effects of geometrical parameters of the beam, foundation stiffness, temperature variation, and different beam theories. Kiani, Yaser aut Eslami, M. Reza aut Enthalten in Acta mechanica Springer Vienna, 1965 232(2021), 10 vom: 26. Juli, Seite 3897-3915 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:232 year:2021 number:10 day:26 month:07 pages:3897-3915 https://doi.org/10.1007/s00707-021-03027-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_59 AR 232 2021 10 26 07 3897-3915 |
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Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique |
| abstract |
Abstract The current research is concerned with the small- and large-amplitude free vibrations of a composite beam made of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) media. It is assumed that the beam is operating in a uniform temperature field, which results in thermally pre-buckled or post-buckled configurations. It is further assumed that a three-parameter nonlinear elastic foundation is in contact with the beam during deformation which acts in compression as well as in tension. The elastic material properties of the beam are evaluated by using a modified rule of mixtures scheme which contains efficiency parameters. The thermomechanical properties of the beam are assumed as temperature dependent. The motion equations of the beam are established using three different beam models, namely first-order, third-order, and sinusoidal beam theories. The obtained equations are reformulated using the fact that both ends of the beam are immovable in axial direction. The established equations are transformed into dimensionless presentation. After that, suitable for beams with both ends pinned, with the aid of the two-step perturbation technique, closed-form expressions are provided for small- and large-amplitude free vibrations of FG-CNTRC beams in thermally pre-buckled or post-buckled states. Results of this study are first validated with the available data in the open literature. After that, novel numerical results are provided to explore the effects of geometrical parameters of the beam, foundation stiffness, temperature variation, and different beam theories. © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2021 |
| abstractGer |
Abstract The current research is concerned with the small- and large-amplitude free vibrations of a composite beam made of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) media. It is assumed that the beam is operating in a uniform temperature field, which results in thermally pre-buckled or post-buckled configurations. It is further assumed that a three-parameter nonlinear elastic foundation is in contact with the beam during deformation which acts in compression as well as in tension. The elastic material properties of the beam are evaluated by using a modified rule of mixtures scheme which contains efficiency parameters. The thermomechanical properties of the beam are assumed as temperature dependent. The motion equations of the beam are established using three different beam models, namely first-order, third-order, and sinusoidal beam theories. The obtained equations are reformulated using the fact that both ends of the beam are immovable in axial direction. The established equations are transformed into dimensionless presentation. After that, suitable for beams with both ends pinned, with the aid of the two-step perturbation technique, closed-form expressions are provided for small- and large-amplitude free vibrations of FG-CNTRC beams in thermally pre-buckled or post-buckled states. Results of this study are first validated with the available data in the open literature. After that, novel numerical results are provided to explore the effects of geometrical parameters of the beam, foundation stiffness, temperature variation, and different beam theories. © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2021 |
| abstract_unstemmed |
Abstract The current research is concerned with the small- and large-amplitude free vibrations of a composite beam made of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) media. It is assumed that the beam is operating in a uniform temperature field, which results in thermally pre-buckled or post-buckled configurations. It is further assumed that a three-parameter nonlinear elastic foundation is in contact with the beam during deformation which acts in compression as well as in tension. The elastic material properties of the beam are evaluated by using a modified rule of mixtures scheme which contains efficiency parameters. The thermomechanical properties of the beam are assumed as temperature dependent. The motion equations of the beam are established using three different beam models, namely first-order, third-order, and sinusoidal beam theories. The obtained equations are reformulated using the fact that both ends of the beam are immovable in axial direction. The established equations are transformed into dimensionless presentation. After that, suitable for beams with both ends pinned, with the aid of the two-step perturbation technique, closed-form expressions are provided for small- and large-amplitude free vibrations of FG-CNTRC beams in thermally pre-buckled or post-buckled states. Results of this study are first validated with the available data in the open literature. After that, novel numerical results are provided to explore the effects of geometrical parameters of the beam, foundation stiffness, temperature variation, and different beam theories. © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2021 |
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| title_short |
Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique |
| url |
https://doi.org/10.1007/s00707-021-03027-z |
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| author2 |
Kiani, Yaser Eslami, M. Reza |
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Kiani, Yaser Eslami, M. Reza |
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| doi_str |
10.1007/s00707-021-03027-z |
| up_date |
2024-07-03T13:54:20.929Z |
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