Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory
The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Nguyen, Trung-Kien [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013transfer abstract |
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| Schlagwörter: |
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| Umfang: |
11 |
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| Übergeordnetes Werk: |
Enthalten in: O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome - Barisic, N ELSEVIER, 2013, an international journal, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:55 ; year:2013 ; pages:147-157 ; extent:11 |
| Links: |
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| DOI / URN: |
10.1016/j.compositesb.2013.06.011 |
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ELV022212574 |
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| 520 | |a The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. | ||
| 520 | |a The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. | ||
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| 700 | 1 | |a Thai, Huu-Tai |4 oth | |
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10.1016/j.compositesb.2013.06.011 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001960.pica (DE-627)ELV022212574 (ELSEVIER)S1359-8368(13)00322-3 DE-627 ger DE-627 rakwb eng 610 VZ 580 540 VZ BIODIV DE-30 fid 42.00 bkl Nguyen, Trung-Kien verfasserin aut Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory 2013transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. B. Buckling Elsevier C. Numerical analysis Elsevier B. Vibration Elsevier A. Hybrid Elsevier Vo, Thuc P. oth Thai, Huu-Tai oth Enthalten in Elsevier Barisic, N ELSEVIER O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome 2013 an international journal Amsterdam [u.a.] (DE-627)ELV011782439 volume:55 year:2013 pages:147-157 extent:11 https://doi.org/10.1016/j.compositesb.2013.06.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 42.00 Biologie: Allgemeines VZ AR 55 2013 147-157 11 |
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10.1016/j.compositesb.2013.06.011 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001960.pica (DE-627)ELV022212574 (ELSEVIER)S1359-8368(13)00322-3 DE-627 ger DE-627 rakwb eng 610 VZ 580 540 VZ BIODIV DE-30 fid 42.00 bkl Nguyen, Trung-Kien verfasserin aut Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory 2013transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. B. Buckling Elsevier C. Numerical analysis Elsevier B. Vibration Elsevier A. Hybrid Elsevier Vo, Thuc P. oth Thai, Huu-Tai oth Enthalten in Elsevier Barisic, N ELSEVIER O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome 2013 an international journal Amsterdam [u.a.] (DE-627)ELV011782439 volume:55 year:2013 pages:147-157 extent:11 https://doi.org/10.1016/j.compositesb.2013.06.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 42.00 Biologie: Allgemeines VZ AR 55 2013 147-157 11 |
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10.1016/j.compositesb.2013.06.011 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001960.pica (DE-627)ELV022212574 (ELSEVIER)S1359-8368(13)00322-3 DE-627 ger DE-627 rakwb eng 610 VZ 580 540 VZ BIODIV DE-30 fid 42.00 bkl Nguyen, Trung-Kien verfasserin aut Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory 2013transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. B. Buckling Elsevier C. Numerical analysis Elsevier B. Vibration Elsevier A. Hybrid Elsevier Vo, Thuc P. oth Thai, Huu-Tai oth Enthalten in Elsevier Barisic, N ELSEVIER O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome 2013 an international journal Amsterdam [u.a.] (DE-627)ELV011782439 volume:55 year:2013 pages:147-157 extent:11 https://doi.org/10.1016/j.compositesb.2013.06.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 42.00 Biologie: Allgemeines VZ AR 55 2013 147-157 11 |
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10.1016/j.compositesb.2013.06.011 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001960.pica (DE-627)ELV022212574 (ELSEVIER)S1359-8368(13)00322-3 DE-627 ger DE-627 rakwb eng 610 VZ 580 540 VZ BIODIV DE-30 fid 42.00 bkl Nguyen, Trung-Kien verfasserin aut Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory 2013transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. B. Buckling Elsevier C. Numerical analysis Elsevier B. Vibration Elsevier A. Hybrid Elsevier Vo, Thuc P. oth Thai, Huu-Tai oth Enthalten in Elsevier Barisic, N ELSEVIER O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome 2013 an international journal Amsterdam [u.a.] (DE-627)ELV011782439 volume:55 year:2013 pages:147-157 extent:11 https://doi.org/10.1016/j.compositesb.2013.06.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 42.00 Biologie: Allgemeines VZ AR 55 2013 147-157 11 |
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10.1016/j.compositesb.2013.06.011 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001960.pica (DE-627)ELV022212574 (ELSEVIER)S1359-8368(13)00322-3 DE-627 ger DE-627 rakwb eng 610 VZ 580 540 VZ BIODIV DE-30 fid 42.00 bkl Nguyen, Trung-Kien verfasserin aut Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory 2013transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. B. Buckling Elsevier C. Numerical analysis Elsevier B. Vibration Elsevier A. Hybrid Elsevier Vo, Thuc P. oth Thai, Huu-Tai oth Enthalten in Elsevier Barisic, N ELSEVIER O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome 2013 an international journal Amsterdam [u.a.] (DE-627)ELV011782439 volume:55 year:2013 pages:147-157 extent:11 https://doi.org/10.1016/j.compositesb.2013.06.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 42.00 Biologie: Allgemeines VZ AR 55 2013 147-157 11 |
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O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome |
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O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome |
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Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory |
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Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory |
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Nguyen, Trung-Kien |
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O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome |
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O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome |
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2013 |
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Nguyen, Trung-Kien |
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Nguyen, Trung-Kien |
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10.1016/j.compositesb.2013.06.011 |
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610 580 540 |
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static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory |
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Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory |
| abstract |
The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. |
| abstractGer |
The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. |
| abstract_unstemmed |
The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium equation and thus, associated shear correction factor is then obtained analytically. Equations of motion are derived from the Hamilton’s principle. Analytical solutions are presented for simply-supported functionally graded beams. The obtained results are compared with the existing solutions to verify the validity of the developed theory. Effects of the power-law index, material contrast and Poisson’s ratio on the displacements, natural frequencies, buckling loads and load–frequency curves as well as corresponding mode shapes are investigated. |
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Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory |
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https://doi.org/10.1016/j.compositesb.2013.06.011 |
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Vo, Thuc P. Thai, Huu-Tai |
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