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
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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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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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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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2051103402</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503230220.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2014 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11071-014-1360-y</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2051103402</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11071-014-1360-y-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Shen, Zhenxing</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A finite element beam model including cross-section distortion in the absolute nodal coordinate formulation</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media Dordrecht 2014</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Cross-section distortion</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Higher-order beam models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Warping displacement</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Absolute nodal coordinate formulation</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Li, Pei</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Liu, Cheng</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hu, Gengkai</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Nonlinear dynamics</subfield><subfield code="d">Springer Netherlands, 1990</subfield><subfield code="g">77(2014), 3 vom: 02. 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