A finite element beam model including cross-section distortion in the absolute nodal coordinate formulation
Abstract A new class of beam finite elements is proposed in a three-dimensional fully parameterized absolute nodal coordinate formulation, in which the distortion of the beam cross section can be characterized. The linear, second-order, third-order, and fourth-order models of beam cross section are...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Shen, Zhenxing [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media Dordrecht 2014 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 77(2014), 3 vom: 02. Apr., Seite 1019-1033 |
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| Übergeordnetes Werk: |
volume:77 ; year:2014 ; number:3 ; day:02 ; month:04 ; pages:1019-1033 |
| Links: |
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| DOI / URN: |
10.1007/s11071-014-1360-y |
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| Katalog-ID: |
OLC2051103402 |
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| 520 | |a Abstract A new class of beam finite elements is proposed in a three-dimensional fully parameterized absolute nodal coordinate formulation, in which the distortion of the beam cross section can be characterized. The linear, second-order, third-order, and fourth-order models of beam cross section are proposed based on the Pascal triangle polynomials. It is shown that Poisson locking can be eliminated with the proposed higher-order beam models, and the warping displacement of a square beam is well described in the fourth-order beam model. The accuracy of the proposed beam elements and the influence of cross-section distortion on structure deformation and dynamics are examined through several numerical examples. We find that the proposed higher-order models can capture more accurately the structure deformation such as cross-section distortion including warping, compared to the existing beam models in the absolute nodal coordinate formulation. | ||
| 650 | 4 | |a Cross-section distortion | |
| 650 | 4 | |a Higher-order beam models | |
| 650 | 4 | |a Warping displacement | |
| 650 | 4 | |a Absolute nodal coordinate formulation | |
| 700 | 1 | |a Li, Pei |4 aut | |
| 700 | 1 | |a Liu, Cheng |4 aut | |
| 700 | 1 | |a Hu, Gengkai |4 aut | |
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10.1007/s11071-014-1360-y doi (DE-627)OLC2051103402 (DE-He213)s11071-014-1360-y-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Shen, Zhenxing verfasserin aut A finite element beam model including cross-section distortion in the absolute nodal coordinate formulation 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2014 Abstract A new class of beam finite elements is proposed in a three-dimensional fully parameterized absolute nodal coordinate formulation, in which the distortion of the beam cross section can be characterized. The linear, second-order, third-order, and fourth-order models of beam cross section are proposed based on the Pascal triangle polynomials. It is shown that Poisson locking can be eliminated with the proposed higher-order beam models, and the warping displacement of a square beam is well described in the fourth-order beam model. The accuracy of the proposed beam elements and the influence of cross-section distortion on structure deformation and dynamics are examined through several numerical examples. We find that the proposed higher-order models can capture more accurately the structure deformation such as cross-section distortion including warping, compared to the existing beam models in the absolute nodal coordinate formulation. Cross-section distortion Higher-order beam models Warping displacement Absolute nodal coordinate formulation Li, Pei aut Liu, Cheng aut Hu, Gengkai aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 77(2014), 3 vom: 02. Apr., Seite 1019-1033 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:77 year:2014 number:3 day:02 month:04 pages:1019-1033 https://doi.org/10.1007/s11071-014-1360-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 77 2014 3 02 04 1019-1033 |
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10.1007/s11071-014-1360-y doi (DE-627)OLC2051103402 (DE-He213)s11071-014-1360-y-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Shen, Zhenxing verfasserin aut A finite element beam model including cross-section distortion in the absolute nodal coordinate formulation 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2014 Abstract A new class of beam finite elements is proposed in a three-dimensional fully parameterized absolute nodal coordinate formulation, in which the distortion of the beam cross section can be characterized. The linear, second-order, third-order, and fourth-order models of beam cross section are proposed based on the Pascal triangle polynomials. It is shown that Poisson locking can be eliminated with the proposed higher-order beam models, and the warping displacement of a square beam is well described in the fourth-order beam model. The accuracy of the proposed beam elements and the influence of cross-section distortion on structure deformation and dynamics are examined through several numerical examples. We find that the proposed higher-order models can capture more accurately the structure deformation such as cross-section distortion including warping, compared to the existing beam models in the absolute nodal coordinate formulation. Cross-section distortion Higher-order beam models Warping displacement Absolute nodal coordinate formulation Li, Pei aut Liu, Cheng aut Hu, Gengkai aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 77(2014), 3 vom: 02. Apr., Seite 1019-1033 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:77 year:2014 number:3 day:02 month:04 pages:1019-1033 https://doi.org/10.1007/s11071-014-1360-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 77 2014 3 02 04 1019-1033 |
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10.1007/s11071-014-1360-y doi (DE-627)OLC2051103402 (DE-He213)s11071-014-1360-y-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Shen, Zhenxing verfasserin aut A finite element beam model including cross-section distortion in the absolute nodal coordinate formulation 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2014 Abstract A new class of beam finite elements is proposed in a three-dimensional fully parameterized absolute nodal coordinate formulation, in which the distortion of the beam cross section can be characterized. The linear, second-order, third-order, and fourth-order models of beam cross section are proposed based on the Pascal triangle polynomials. It is shown that Poisson locking can be eliminated with the proposed higher-order beam models, and the warping displacement of a square beam is well described in the fourth-order beam model. The accuracy of the proposed beam elements and the influence of cross-section distortion on structure deformation and dynamics are examined through several numerical examples. We find that the proposed higher-order models can capture more accurately the structure deformation such as cross-section distortion including warping, compared to the existing beam models in the absolute nodal coordinate formulation. Cross-section distortion Higher-order beam models Warping displacement Absolute nodal coordinate formulation Li, Pei aut Liu, Cheng aut Hu, Gengkai aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 77(2014), 3 vom: 02. Apr., Seite 1019-1033 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:77 year:2014 number:3 day:02 month:04 pages:1019-1033 https://doi.org/10.1007/s11071-014-1360-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 77 2014 3 02 04 1019-1033 |
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10.1007/s11071-014-1360-y doi (DE-627)OLC2051103402 (DE-He213)s11071-014-1360-y-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Shen, Zhenxing verfasserin aut A finite element beam model including cross-section distortion in the absolute nodal coordinate formulation 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2014 Abstract A new class of beam finite elements is proposed in a three-dimensional fully parameterized absolute nodal coordinate formulation, in which the distortion of the beam cross section can be characterized. The linear, second-order, third-order, and fourth-order models of beam cross section are proposed based on the Pascal triangle polynomials. It is shown that Poisson locking can be eliminated with the proposed higher-order beam models, and the warping displacement of a square beam is well described in the fourth-order beam model. The accuracy of the proposed beam elements and the influence of cross-section distortion on structure deformation and dynamics are examined through several numerical examples. We find that the proposed higher-order models can capture more accurately the structure deformation such as cross-section distortion including warping, compared to the existing beam models in the absolute nodal coordinate formulation. Cross-section distortion Higher-order beam models Warping displacement Absolute nodal coordinate formulation Li, Pei aut Liu, Cheng aut Hu, Gengkai aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 77(2014), 3 vom: 02. Apr., Seite 1019-1033 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:77 year:2014 number:3 day:02 month:04 pages:1019-1033 https://doi.org/10.1007/s11071-014-1360-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 77 2014 3 02 04 1019-1033 |
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a finite element beam model including cross-section distortion in the absolute nodal coordinate formulation |
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A finite element beam model including cross-section distortion in the absolute nodal coordinate formulation |
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Abstract A new class of beam finite elements is proposed in a three-dimensional fully parameterized absolute nodal coordinate formulation, in which the distortion of the beam cross section can be characterized. The linear, second-order, third-order, and fourth-order models of beam cross section are proposed based on the Pascal triangle polynomials. It is shown that Poisson locking can be eliminated with the proposed higher-order beam models, and the warping displacement of a square beam is well described in the fourth-order beam model. The accuracy of the proposed beam elements and the influence of cross-section distortion on structure deformation and dynamics are examined through several numerical examples. We find that the proposed higher-order models can capture more accurately the structure deformation such as cross-section distortion including warping, compared to the existing beam models in the absolute nodal coordinate formulation. © Springer Science+Business Media Dordrecht 2014 |
| abstractGer |
Abstract A new class of beam finite elements is proposed in a three-dimensional fully parameterized absolute nodal coordinate formulation, in which the distortion of the beam cross section can be characterized. The linear, second-order, third-order, and fourth-order models of beam cross section are proposed based on the Pascal triangle polynomials. It is shown that Poisson locking can be eliminated with the proposed higher-order beam models, and the warping displacement of a square beam is well described in the fourth-order beam model. The accuracy of the proposed beam elements and the influence of cross-section distortion on structure deformation and dynamics are examined through several numerical examples. We find that the proposed higher-order models can capture more accurately the structure deformation such as cross-section distortion including warping, compared to the existing beam models in the absolute nodal coordinate formulation. © Springer Science+Business Media Dordrecht 2014 |
| abstract_unstemmed |
Abstract A new class of beam finite elements is proposed in a three-dimensional fully parameterized absolute nodal coordinate formulation, in which the distortion of the beam cross section can be characterized. The linear, second-order, third-order, and fourth-order models of beam cross section are proposed based on the Pascal triangle polynomials. It is shown that Poisson locking can be eliminated with the proposed higher-order beam models, and the warping displacement of a square beam is well described in the fourth-order beam model. The accuracy of the proposed beam elements and the influence of cross-section distortion on structure deformation and dynamics are examined through several numerical examples. We find that the proposed higher-order models can capture more accurately the structure deformation such as cross-section distortion including warping, compared to the existing beam models in the absolute nodal coordinate formulation. © Springer Science+Business Media Dordrecht 2014 |
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A finite element beam model including cross-section distortion in the absolute nodal coordinate formulation |
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https://doi.org/10.1007/s11071-014-1360-y |
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false |
| author2 |
Li, Pei Liu, Cheng Hu, Gengkai |
| author2Str |
Li, Pei Liu, Cheng Hu, Gengkai |
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130936782 |
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n |
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| doi_str |
10.1007/s11071-014-1360-y |
| up_date |
2024-07-04T03:35:24.418Z |
| _version_ |
1803617959334117376 |
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The linear, second-order, third-order, and fourth-order models of beam cross section are proposed based on the Pascal triangle polynomials. It is shown that Poisson locking can be eliminated with the proposed higher-order beam models, and the warping displacement of a square beam is well described in the fourth-order beam model. The accuracy of the proposed beam elements and the influence of cross-section distortion on structure deformation and dynamics are examined through several numerical examples. 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