On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk
Abstract This is the first research on the nonlinear frequency analysis of a multi-scale hybrid nanocomposite (MHC) disk (MHCD) resting on an elastic foundation subjected to nonlinear temperature gradient and mechanical loading is investigated. The matrix material is reinforced with carbon nanotubes...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Safarpour, Mehran [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
Nonlinear frequency characteristics Nonlinear temperature gradient Multi-scale hybrid nanocomposites |
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| Anmerkung: |
© Springer-Verlag London Ltd., part of Springer Nature 2020 |
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| Übergeordnetes Werk: |
Enthalten in: Engineering with computers - Springer London, 1985, 37(2020), 3 vom: 22. Feb., Seite 2369-2388 |
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| Übergeordnetes Werk: |
volume:37 ; year:2020 ; number:3 ; day:22 ; month:02 ; pages:2369-2388 |
| Links: |
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| DOI / URN: |
10.1007/s00366-020-00949-5 |
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| Katalog-ID: |
OLC2126475603 |
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| 520 | |a Abstract This is the first research on the nonlinear frequency analysis of a multi-scale hybrid nanocomposite (MHC) disk (MHCD) resting on an elastic foundation subjected to nonlinear temperature gradient and mechanical loading is investigated. The matrix material is reinforced with carbon nanotubes (CNTs) or carbon fibers (CF) at the nano- or macroscale, respectively. We present a modified Halpin–Tsai model to predict the effective properties of the MHCD. The displacement–strain of nonlinear vibration of multi-scale laminated disk via third-order shear deformation theory (TSDT) and using Von Karman nonlinear shell theory is obtained. Hamilton’s principle is employed to establish the governing equations of motion, which is finally solved by generalized differential quadrature method (GDQM) and perturbation method (PM). Finally, the results show that FG patterns, different orientation angle of the fiber, the VF and WCNT parameters, axial load, nonlinear temperature gradient, and applied temperature of the top surface play an essential impact on the linear and nonlinear dynamic responses of the MHCD. The more significant outcome of this research is that the effects of the VF, WCNT, $$\theta$$, and β parameters on the nonlinear frequency of the MHCD can be considered at the higher value of the large deflection parameter and the effect of negative axial load on the dynamic responses of the structure is more intensive. As an applicable result show that the best functionally graded (FG) pattern for serving the highest nonlinear dynamic response of an MHC reinforced annular plate is FG-A. | ||
| 650 | 4 | |a Nonlinear frequency characteristics | |
| 650 | 4 | |a Nonlinear temperature gradient | |
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| 650 | 4 | |a Perturbation method | |
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| 700 | 1 | |a Safarpour, Hamed |4 aut | |
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10.1007/s00366-020-00949-5 doi (DE-627)OLC2126475603 (DE-He213)s00366-020-00949-5-p DE-627 ger DE-627 rakwb eng 004 600 VZ Safarpour, Mehran verfasserin aut On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag London Ltd., part of Springer Nature 2020 Abstract This is the first research on the nonlinear frequency analysis of a multi-scale hybrid nanocomposite (MHC) disk (MHCD) resting on an elastic foundation subjected to nonlinear temperature gradient and mechanical loading is investigated. The matrix material is reinforced with carbon nanotubes (CNTs) or carbon fibers (CF) at the nano- or macroscale, respectively. We present a modified Halpin–Tsai model to predict the effective properties of the MHCD. The displacement–strain of nonlinear vibration of multi-scale laminated disk via third-order shear deformation theory (TSDT) and using Von Karman nonlinear shell theory is obtained. Hamilton’s principle is employed to establish the governing equations of motion, which is finally solved by generalized differential quadrature method (GDQM) and perturbation method (PM). Finally, the results show that FG patterns, different orientation angle of the fiber, the VF and WCNT parameters, axial load, nonlinear temperature gradient, and applied temperature of the top surface play an essential impact on the linear and nonlinear dynamic responses of the MHCD. The more significant outcome of this research is that the effects of the VF, WCNT, $$\theta$$, and β parameters on the nonlinear frequency of the MHCD can be considered at the higher value of the large deflection parameter and the effect of negative axial load on the dynamic responses of the structure is more intensive. As an applicable result show that the best functionally graded (FG) pattern for serving the highest nonlinear dynamic response of an MHC reinforced annular plate is FG-A. Nonlinear frequency characteristics Nonlinear temperature gradient Multi-scale hybrid nanocomposites von Karman-type geometry nonlinearity Perturbation method Uncertainty analysis Ebrahimi, Farzad (orcid)0000-0001-9091-4647 aut Habibi, Mostafa aut Safarpour, Hamed aut Enthalten in Engineering with computers Springer London, 1985 37(2020), 3 vom: 22. Feb., Seite 2369-2388 (DE-627)129175404 (DE-600)51529-2 (DE-576)014455536 0177-0667 nnns volume:37 year:2020 number:3 day:22 month:02 pages:2369-2388 https://doi.org/10.1007/s00366-020-00949-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 37 2020 3 22 02 2369-2388 |
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10.1007/s00366-020-00949-5 doi (DE-627)OLC2126475603 (DE-He213)s00366-020-00949-5-p DE-627 ger DE-627 rakwb eng 004 600 VZ Safarpour, Mehran verfasserin aut On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag London Ltd., part of Springer Nature 2020 Abstract This is the first research on the nonlinear frequency analysis of a multi-scale hybrid nanocomposite (MHC) disk (MHCD) resting on an elastic foundation subjected to nonlinear temperature gradient and mechanical loading is investigated. The matrix material is reinforced with carbon nanotubes (CNTs) or carbon fibers (CF) at the nano- or macroscale, respectively. We present a modified Halpin–Tsai model to predict the effective properties of the MHCD. The displacement–strain of nonlinear vibration of multi-scale laminated disk via third-order shear deformation theory (TSDT) and using Von Karman nonlinear shell theory is obtained. Hamilton’s principle is employed to establish the governing equations of motion, which is finally solved by generalized differential quadrature method (GDQM) and perturbation method (PM). Finally, the results show that FG patterns, different orientation angle of the fiber, the VF and WCNT parameters, axial load, nonlinear temperature gradient, and applied temperature of the top surface play an essential impact on the linear and nonlinear dynamic responses of the MHCD. The more significant outcome of this research is that the effects of the VF, WCNT, $$\theta$$, and β parameters on the nonlinear frequency of the MHCD can be considered at the higher value of the large deflection parameter and the effect of negative axial load on the dynamic responses of the structure is more intensive. As an applicable result show that the best functionally graded (FG) pattern for serving the highest nonlinear dynamic response of an MHC reinforced annular plate is FG-A. Nonlinear frequency characteristics Nonlinear temperature gradient Multi-scale hybrid nanocomposites von Karman-type geometry nonlinearity Perturbation method Uncertainty analysis Ebrahimi, Farzad (orcid)0000-0001-9091-4647 aut Habibi, Mostafa aut Safarpour, Hamed aut Enthalten in Engineering with computers Springer London, 1985 37(2020), 3 vom: 22. Feb., Seite 2369-2388 (DE-627)129175404 (DE-600)51529-2 (DE-576)014455536 0177-0667 nnns volume:37 year:2020 number:3 day:22 month:02 pages:2369-2388 https://doi.org/10.1007/s00366-020-00949-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 37 2020 3 22 02 2369-2388 |
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10.1007/s00366-020-00949-5 doi (DE-627)OLC2126475603 (DE-He213)s00366-020-00949-5-p DE-627 ger DE-627 rakwb eng 004 600 VZ Safarpour, Mehran verfasserin aut On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag London Ltd., part of Springer Nature 2020 Abstract This is the first research on the nonlinear frequency analysis of a multi-scale hybrid nanocomposite (MHC) disk (MHCD) resting on an elastic foundation subjected to nonlinear temperature gradient and mechanical loading is investigated. The matrix material is reinforced with carbon nanotubes (CNTs) or carbon fibers (CF) at the nano- or macroscale, respectively. We present a modified Halpin–Tsai model to predict the effective properties of the MHCD. The displacement–strain of nonlinear vibration of multi-scale laminated disk via third-order shear deformation theory (TSDT) and using Von Karman nonlinear shell theory is obtained. Hamilton’s principle is employed to establish the governing equations of motion, which is finally solved by generalized differential quadrature method (GDQM) and perturbation method (PM). Finally, the results show that FG patterns, different orientation angle of the fiber, the VF and WCNT parameters, axial load, nonlinear temperature gradient, and applied temperature of the top surface play an essential impact on the linear and nonlinear dynamic responses of the MHCD. The more significant outcome of this research is that the effects of the VF, WCNT, $$\theta$$, and β parameters on the nonlinear frequency of the MHCD can be considered at the higher value of the large deflection parameter and the effect of negative axial load on the dynamic responses of the structure is more intensive. As an applicable result show that the best functionally graded (FG) pattern for serving the highest nonlinear dynamic response of an MHC reinforced annular plate is FG-A. Nonlinear frequency characteristics Nonlinear temperature gradient Multi-scale hybrid nanocomposites von Karman-type geometry nonlinearity Perturbation method Uncertainty analysis Ebrahimi, Farzad (orcid)0000-0001-9091-4647 aut Habibi, Mostafa aut Safarpour, Hamed aut Enthalten in Engineering with computers Springer London, 1985 37(2020), 3 vom: 22. Feb., Seite 2369-2388 (DE-627)129175404 (DE-600)51529-2 (DE-576)014455536 0177-0667 nnns volume:37 year:2020 number:3 day:22 month:02 pages:2369-2388 https://doi.org/10.1007/s00366-020-00949-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 37 2020 3 22 02 2369-2388 |
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10.1007/s00366-020-00949-5 doi (DE-627)OLC2126475603 (DE-He213)s00366-020-00949-5-p DE-627 ger DE-627 rakwb eng 004 600 VZ Safarpour, Mehran verfasserin aut On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag London Ltd., part of Springer Nature 2020 Abstract This is the first research on the nonlinear frequency analysis of a multi-scale hybrid nanocomposite (MHC) disk (MHCD) resting on an elastic foundation subjected to nonlinear temperature gradient and mechanical loading is investigated. The matrix material is reinforced with carbon nanotubes (CNTs) or carbon fibers (CF) at the nano- or macroscale, respectively. We present a modified Halpin–Tsai model to predict the effective properties of the MHCD. The displacement–strain of nonlinear vibration of multi-scale laminated disk via third-order shear deformation theory (TSDT) and using Von Karman nonlinear shell theory is obtained. Hamilton’s principle is employed to establish the governing equations of motion, which is finally solved by generalized differential quadrature method (GDQM) and perturbation method (PM). Finally, the results show that FG patterns, different orientation angle of the fiber, the VF and WCNT parameters, axial load, nonlinear temperature gradient, and applied temperature of the top surface play an essential impact on the linear and nonlinear dynamic responses of the MHCD. The more significant outcome of this research is that the effects of the VF, WCNT, $$\theta$$, and β parameters on the nonlinear frequency of the MHCD can be considered at the higher value of the large deflection parameter and the effect of negative axial load on the dynamic responses of the structure is more intensive. As an applicable result show that the best functionally graded (FG) pattern for serving the highest nonlinear dynamic response of an MHC reinforced annular plate is FG-A. Nonlinear frequency characteristics Nonlinear temperature gradient Multi-scale hybrid nanocomposites von Karman-type geometry nonlinearity Perturbation method Uncertainty analysis Ebrahimi, Farzad (orcid)0000-0001-9091-4647 aut Habibi, Mostafa aut Safarpour, Hamed aut Enthalten in Engineering with computers Springer London, 1985 37(2020), 3 vom: 22. Feb., Seite 2369-2388 (DE-627)129175404 (DE-600)51529-2 (DE-576)014455536 0177-0667 nnns volume:37 year:2020 number:3 day:22 month:02 pages:2369-2388 https://doi.org/10.1007/s00366-020-00949-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 37 2020 3 22 02 2369-2388 |
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10.1007/s00366-020-00949-5 doi (DE-627)OLC2126475603 (DE-He213)s00366-020-00949-5-p DE-627 ger DE-627 rakwb eng 004 600 VZ Safarpour, Mehran verfasserin aut On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag London Ltd., part of Springer Nature 2020 Abstract This is the first research on the nonlinear frequency analysis of a multi-scale hybrid nanocomposite (MHC) disk (MHCD) resting on an elastic foundation subjected to nonlinear temperature gradient and mechanical loading is investigated. The matrix material is reinforced with carbon nanotubes (CNTs) or carbon fibers (CF) at the nano- or macroscale, respectively. We present a modified Halpin–Tsai model to predict the effective properties of the MHCD. The displacement–strain of nonlinear vibration of multi-scale laminated disk via third-order shear deformation theory (TSDT) and using Von Karman nonlinear shell theory is obtained. Hamilton’s principle is employed to establish the governing equations of motion, which is finally solved by generalized differential quadrature method (GDQM) and perturbation method (PM). Finally, the results show that FG patterns, different orientation angle of the fiber, the VF and WCNT parameters, axial load, nonlinear temperature gradient, and applied temperature of the top surface play an essential impact on the linear and nonlinear dynamic responses of the MHCD. The more significant outcome of this research is that the effects of the VF, WCNT, $$\theta$$, and β parameters on the nonlinear frequency of the MHCD can be considered at the higher value of the large deflection parameter and the effect of negative axial load on the dynamic responses of the structure is more intensive. As an applicable result show that the best functionally graded (FG) pattern for serving the highest nonlinear dynamic response of an MHC reinforced annular plate is FG-A. Nonlinear frequency characteristics Nonlinear temperature gradient Multi-scale hybrid nanocomposites von Karman-type geometry nonlinearity Perturbation method Uncertainty analysis Ebrahimi, Farzad (orcid)0000-0001-9091-4647 aut Habibi, Mostafa aut Safarpour, Hamed aut Enthalten in Engineering with computers Springer London, 1985 37(2020), 3 vom: 22. Feb., Seite 2369-2388 (DE-627)129175404 (DE-600)51529-2 (DE-576)014455536 0177-0667 nnns volume:37 year:2020 number:3 day:22 month:02 pages:2369-2388 https://doi.org/10.1007/s00366-020-00949-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 37 2020 3 22 02 2369-2388 |
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ddc 004 misc Nonlinear frequency characteristics misc Nonlinear temperature gradient misc Multi-scale hybrid nanocomposites misc von Karman-type geometry nonlinearity misc Perturbation method misc Uncertainty analysis |
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On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk |
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On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk |
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Safarpour, Mehran |
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Safarpour, Mehran Ebrahimi, Farzad Habibi, Mostafa Safarpour, Hamed |
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on the nonlinear dynamics of a multi-scale hybrid nanocomposite disk |
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On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk |
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Abstract This is the first research on the nonlinear frequency analysis of a multi-scale hybrid nanocomposite (MHC) disk (MHCD) resting on an elastic foundation subjected to nonlinear temperature gradient and mechanical loading is investigated. The matrix material is reinforced with carbon nanotubes (CNTs) or carbon fibers (CF) at the nano- or macroscale, respectively. We present a modified Halpin–Tsai model to predict the effective properties of the MHCD. The displacement–strain of nonlinear vibration of multi-scale laminated disk via third-order shear deformation theory (TSDT) and using Von Karman nonlinear shell theory is obtained. Hamilton’s principle is employed to establish the governing equations of motion, which is finally solved by generalized differential quadrature method (GDQM) and perturbation method (PM). Finally, the results show that FG patterns, different orientation angle of the fiber, the VF and WCNT parameters, axial load, nonlinear temperature gradient, and applied temperature of the top surface play an essential impact on the linear and nonlinear dynamic responses of the MHCD. The more significant outcome of this research is that the effects of the VF, WCNT, $$\theta$$, and β parameters on the nonlinear frequency of the MHCD can be considered at the higher value of the large deflection parameter and the effect of negative axial load on the dynamic responses of the structure is more intensive. As an applicable result show that the best functionally graded (FG) pattern for serving the highest nonlinear dynamic response of an MHC reinforced annular plate is FG-A. © Springer-Verlag London Ltd., part of Springer Nature 2020 |
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Abstract This is the first research on the nonlinear frequency analysis of a multi-scale hybrid nanocomposite (MHC) disk (MHCD) resting on an elastic foundation subjected to nonlinear temperature gradient and mechanical loading is investigated. The matrix material is reinforced with carbon nanotubes (CNTs) or carbon fibers (CF) at the nano- or macroscale, respectively. We present a modified Halpin–Tsai model to predict the effective properties of the MHCD. The displacement–strain of nonlinear vibration of multi-scale laminated disk via third-order shear deformation theory (TSDT) and using Von Karman nonlinear shell theory is obtained. Hamilton’s principle is employed to establish the governing equations of motion, which is finally solved by generalized differential quadrature method (GDQM) and perturbation method (PM). Finally, the results show that FG patterns, different orientation angle of the fiber, the VF and WCNT parameters, axial load, nonlinear temperature gradient, and applied temperature of the top surface play an essential impact on the linear and nonlinear dynamic responses of the MHCD. The more significant outcome of this research is that the effects of the VF, WCNT, $$\theta$$, and β parameters on the nonlinear frequency of the MHCD can be considered at the higher value of the large deflection parameter and the effect of negative axial load on the dynamic responses of the structure is more intensive. As an applicable result show that the best functionally graded (FG) pattern for serving the highest nonlinear dynamic response of an MHC reinforced annular plate is FG-A. © Springer-Verlag London Ltd., part of Springer Nature 2020 |
| abstract_unstemmed |
Abstract This is the first research on the nonlinear frequency analysis of a multi-scale hybrid nanocomposite (MHC) disk (MHCD) resting on an elastic foundation subjected to nonlinear temperature gradient and mechanical loading is investigated. The matrix material is reinforced with carbon nanotubes (CNTs) or carbon fibers (CF) at the nano- or macroscale, respectively. We present a modified Halpin–Tsai model to predict the effective properties of the MHCD. The displacement–strain of nonlinear vibration of multi-scale laminated disk via third-order shear deformation theory (TSDT) and using Von Karman nonlinear shell theory is obtained. Hamilton’s principle is employed to establish the governing equations of motion, which is finally solved by generalized differential quadrature method (GDQM) and perturbation method (PM). Finally, the results show that FG patterns, different orientation angle of the fiber, the VF and WCNT parameters, axial load, nonlinear temperature gradient, and applied temperature of the top surface play an essential impact on the linear and nonlinear dynamic responses of the MHCD. The more significant outcome of this research is that the effects of the VF, WCNT, $$\theta$$, and β parameters on the nonlinear frequency of the MHCD can be considered at the higher value of the large deflection parameter and the effect of negative axial load on the dynamic responses of the structure is more intensive. As an applicable result show that the best functionally graded (FG) pattern for serving the highest nonlinear dynamic response of an MHC reinforced annular plate is FG-A. © Springer-Verlag London Ltd., part of Springer Nature 2020 |
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On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk |
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