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

^*Corresponding author for this work

Biomechatronics & Human-Machine Control

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

63 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	Proceedings of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005
Subtitle of host publication	5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
Publisher	American Society of Mechanical Engineers
Pages	1341-1349
Volume	6B
ISBN (Print)	0791847438, 9780791847435
DOIs	https://doi.org/10.1115/detc2005-85104
Publication status	Published - 2005
Event	DETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Long Beach, CA, United States Duration: 24 Sept 2005 → 28 Sept 2005

Conference

Conference	DETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Country/Territory	United States
City	Long Beach, CA
Period	24/09/05 → 28/09/05

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10.1115/detc2005-85104

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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 Proceedings of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (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. Proceedings of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Vol. 6B American Society of Mechanical Engineers, 2005. pp. 1341-1349

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

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.",

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

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doi = "10.1115/detc2005-85104",

language = "English",

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booktitle = "Proceedings of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005",

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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 Proceedings of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. vol. 6B, American Society of Mechanical Engineers, pp. 1341-1349, DETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 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.
Proceedings of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Vol. 6B American Society of Mechanical Engineers, 2005. p. 1341-1349.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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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.

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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 Proceedings of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. 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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