Comparison of three-dimensional flexible beam elements for dynamic analysis: Finite element method and absolute nodal coordinate formulation

A.L. Schwab; J.P. Meijaard

doi:10.1115/detc2005-85104

Comparison of three-dimensional flexible beam elements for dynamic analysis: Finite element method and absolute nodal coordinate formulation

A.L. Schwab^*
, J.P. Meijaard

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

71 Citations (Scopus)

Abstract

Three formulations for a flexible spatial beam element for dynamic analysis are compared: a finite element method (FEM) formulation, an absolute nodal coordinate (ANC) formulation with a continuum mechanics approach and an ANC formulation with an elastic line concept where the shear locking of the asymmetric bending mode is suppressed by the application of the Hellinger-Reissner principle. The comparison is made by means of an eigenfrequency analysis on two stylized problems. It is shown that the ANC continuum approach yields too large torsional and flexural rigidity and that shear locking suppresses the asymmetric bending mode. The presented ANC formulation with the elastic line concept resolves most of these problems.

Original language	English
Title of host publication	ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Subtitle of host publication	September 24–28, 2005 Long Beach, California, USA
Publisher	American Society of Mechanical Engineers
Pages	1341-1349
Number of pages	9
Volume	6B
ISBN (Print)	9780791847435
DOIs	https://doi.org/10.1115/detc2005-85104
Publication status	Published - 2005
Externally published	Yes
Event	5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control 2005 - Long Beach, CA, United States Duration: 24 Sept 2005 → 28 Sept 2005

Conference

Conference	5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control 2005
Country/Territory	United States
City	Long Beach, CA
Period	24/09/05 → 28/09/05

Keywords

n/a OA procedure

Access to Document

10.1115/detc2005-85104

Cite this

Schwab, A. L., & Meijaard, J. P. (2005). Comparison of three-dimensional flexible beam elements for dynamic analysis: Finite element method and absolute nodal coordinate formulation. In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: September 24–28, 2005 Long Beach, California, USA (Vol. 6B, pp. 1341-1349). American Society of Mechanical Engineers. https://doi.org/10.1115/detc2005-85104

Schwab, A.L. ; Meijaard, J.P. / Comparison of three-dimensional flexible beam elements for dynamic analysis : Finite element method and absolute nodal coordinate formulation. ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: September 24–28, 2005 Long Beach, California, USA. Vol. 6B American Society of Mechanical Engineers, 2005. pp. 1341-1349

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abstract = "Three formulations for a flexible spatial beam element for dynamic analysis are compared: a finite element method (FEM) formulation, an absolute nodal coordinate (ANC) formulation with a continuum mechanics approach and an ANC formulation with an elastic line concept where the shear locking of the asymmetric bending mode is suppressed by the application of the Hellinger-Reissner principle. The comparison is made by means of an eigenfrequency analysis on two stylized problems. It is shown that the ANC continuum approach yields too large torsional and flexural rigidity and that shear locking suppresses the asymmetric bending mode. The presented ANC formulation with the elastic line concept resolves most of these problems.",

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author = "A.L. Schwab and J.P. Meijaard",

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doi = "10.1115/detc2005-85104",

language = "English",

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booktitle = "ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference",

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note = "5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control 2005 ; Conference date: 24-09-2005 Through 28-09-2005",

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Schwab, AL & Meijaard, JP 2005, Comparison of three-dimensional flexible beam elements for dynamic analysis: Finite element method and absolute nodal coordinate formulation. in ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: September 24–28, 2005 Long Beach, California, USA. vol. 6B, American Society of Mechanical Engineers, pp. 1341-1349, 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control 2005, Long Beach, CA, United States, 24/09/05. https://doi.org/10.1115/detc2005-85104

Comparison of three-dimensional flexible beam elements for dynamic analysis: Finite element method and absolute nodal coordinate formulation. / Schwab, A.L.; Meijaard, J.P.
ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: September 24–28, 2005 Long Beach, California, USA. Vol. 6B American Society of Mechanical Engineers, 2005. p. 1341-1349.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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T2 - 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control 2005

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AU - Meijaard, J.P.

PY - 2005

Y1 - 2005

N2 - Three formulations for a flexible spatial beam element for dynamic analysis are compared: a finite element method (FEM) formulation, an absolute nodal coordinate (ANC) formulation with a continuum mechanics approach and an ANC formulation with an elastic line concept where the shear locking of the asymmetric bending mode is suppressed by the application of the Hellinger-Reissner principle. The comparison is made by means of an eigenfrequency analysis on two stylized problems. It is shown that the ANC continuum approach yields too large torsional and flexural rigidity and that shear locking suppresses the asymmetric bending mode. The presented ANC formulation with the elastic line concept resolves most of these problems.

AB - Three formulations for a flexible spatial beam element for dynamic analysis are compared: a finite element method (FEM) formulation, an absolute nodal coordinate (ANC) formulation with a continuum mechanics approach and an ANC formulation with an elastic line concept where the shear locking of the asymmetric bending mode is suppressed by the application of the Hellinger-Reissner principle. The comparison is made by means of an eigenfrequency analysis on two stylized problems. It is shown that the ANC continuum approach yields too large torsional and flexural rigidity and that shear locking suppresses the asymmetric bending mode. The presented ANC formulation with the elastic line concept resolves most of these problems.

KW - n/a OA procedure

UR - https://www.scopus.com/pages/publications/33244462428

U2 - 10.1115/detc2005-85104

DO - 10.1115/detc2005-85104

M3 - Conference contribution

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SN - 9780791847435

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BT - ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference

PB - American Society of Mechanical Engineers

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Schwab AL, Meijaard JP. Comparison of three-dimensional flexible beam elements for dynamic analysis: Finite element method and absolute nodal coordinate formulation. In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: September 24–28, 2005 Long Beach, California, USA. Vol. 6B. American Society of Mechanical Engineers. 2005. p. 1341-1349 doi: 10.1115/detc2005-85104

Comparison of three-dimensional flexible beam elements for dynamic analysis: Finite element method and absolute nodal coordinate formulation

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