Computation of internal stress resultants in beam elements with constrained torsional warping

Koen Dwarshuis; Marijn Nijenhuis; R.G.K.M. Aarts; Marcellinus Hermannus Maria Ellenbroek; Dannis Michel Brouwer

Computation of internal stress resultants in beam elements with constrained torsional warping

Koen Dwarshuis^*, Marijn Nijenhuis, R.G.K.M. Aarts, Marcellinus Hermannus Maria Ellenbroek, Dannis Michel Brouwer

^*Corresponding author for this work

Applied Mechanics

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

357 Downloads (Pure)

Abstract

The computation of stress in beam elements requires the internal stress resultants like axial force and bending moments. For displacement-based beam elements, these resultants can be obtained 1) based on equilibrium, 2) consistent to the constitutive law or 3) based on load interpolation functions. Although the methods give similar results in case of small deformation, the discrepancies in case of large deformation are significant. This paper shows that the method based on equilibrium gives the most accurate results.
Torsion of beam elements causes warping of the cross section. This warping is constrained at clamped ends of beam elements, causing extra stress. This paper shows a method to accurately obtain the corresponding internal stress resultants, i.e. the Saint-Venant torsion moment and bimoment.

Original language	English
Title of host publication	Proceedings of the10th ECCOMAS Thematic Conference on MULTIBODY DYNAMICS
Editors	József Kövecses, Gábor Stépán, Ambrus Zelei
Place of Publication	Budapest
Publisher	Budapest University of Technology and Economics
Pages	68-79
Number of pages	12
ISBN (Electronic)	978-963-421-870-8
Publication status	Published - 12 Dec 2021
Event	10th ECCOMAS Thematic Conference on Multibody Dynamics 2021 - Budapest, Hungary Duration: 12 Dec 2021 → 15 Dec 2021 Conference number: 10 https://eccomasmultibody2021.mm.bme.hu/

Conference

Conference	10th ECCOMAS Thematic Conference on Multibody Dynamics 2021
Country/Territory	Hungary
City	Budapest
Period	12/12/21 → 15/12/21
Internet address	https://eccomasmultibody2021.mm.bme.hu/

Keywords

Beam
Stress
Internal stress resultants
Vlasov beam theory
Flexures

Access to Document

Dwarshuis_Nijenhuis_Aarts_Ellenbroek_Brouwer_full_paper(PUBLISHED)Final published version, 1.08 MB

Cite this

Dwarshuis, K., Nijenhuis, M., Aarts, R. G. K. M., Ellenbroek, M. H. M., & Brouwer, D. M. (2021). Computation of internal stress resultants in beam elements with constrained torsional warping. In J. Kövecses, G. Stépán, & A. Zelei (Eds.), Proceedings of the10th ECCOMAS Thematic Conference on MULTIBODY DYNAMICS (pp. 68-79). Budapest University of Technology and Economics.

Dwarshuis, Koen ; Nijenhuis, Marijn ; Aarts, R.G.K.M. et al. / Computation of internal stress resultants in beam elements with constrained torsional warping. Proceedings of the10th ECCOMAS Thematic Conference on MULTIBODY DYNAMICS. editor / József Kövecses ; Gábor Stépán ; Ambrus Zelei. Budapest : Budapest University of Technology and Economics, 2021. pp. 68-79

@inproceedings{f57742bd8bad4166b171940857155a32,

title = "Computation of internal stress resultants in beam elements with constrained torsional warping",

abstract = "The computation of stress in beam elements requires the internal stress resultants like axial force and bending moments. For displacement-based beam elements, these resultants can be obtained 1) based on equilibrium, 2) consistent to the constitutive law or 3) based on load interpolation functions. Although the methods give similar results in case of small deformation, the discrepancies in case of large deformation are significant. This paper shows that the method based on equilibrium gives the most accurate results.Torsion of beam elements causes warping of the cross section. This warping is constrained at clamped ends of beam elements, causing extra stress. This paper shows a method to accurately obtain the corresponding internal stress resultants, i.e. the Saint-Venant torsion moment and bimoment.",

keywords = "Beam, Stress, Internal stress resultants, Vlasov beam theory, Flexures",

author = "Koen Dwarshuis and Marijn Nijenhuis and R.G.K.M. Aarts and Ellenbroek, {Marcellinus Hermannus Maria} and Brouwer, {Dannis Michel}",

year = "2021",

month = dec,

day = "12",

language = "English",

pages = "68--79",

editor = "J{\'o}zsef K{\"o}vecses and G{\'a}bor St{\'e}p{\'a}n and Ambrus Zelei",

booktitle = "Proceedings of the10th ECCOMAS Thematic Conference on MULTIBODY DYNAMICS",

publisher = "Budapest University of Technology and Economics",

address = "Hungary",

note = "10th ECCOMAS Thematic Conference on Multibody Dynamics 2021 ; Conference date: 12-12-2021 Through 15-12-2021",

url = "https://eccomasmultibody2021.mm.bme.hu/",

}

Dwarshuis, K, Nijenhuis, M , Aarts, RGKM , Ellenbroek, MHM & Brouwer, DM 2021, Computation of internal stress resultants in beam elements with constrained torsional warping. in J Kövecses, G Stépán & A Zelei (eds), Proceedings of the10th ECCOMAS Thematic Conference on MULTIBODY DYNAMICS. Budapest University of Technology and Economics, Budapest, pp. 68-79, 10th ECCOMAS Thematic Conference on Multibody Dynamics 2021, Budapest, Hungary, 12/12/21.

Computation of internal stress resultants in beam elements with constrained torsional warping. / Dwarshuis, Koen; Nijenhuis, Marijn ; Aarts, R.G.K.M. et al.
Proceedings of the10th ECCOMAS Thematic Conference on MULTIBODY DYNAMICS. ed. / József Kövecses; Gábor Stépán; Ambrus Zelei. Budapest: Budapest University of Technology and Economics, 2021. p. 68-79.

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

TY - GEN

T1 - Computation of internal stress resultants in beam elements with constrained torsional warping

AU - Dwarshuis, Koen

AU - Nijenhuis, Marijn

AU - Aarts, R.G.K.M.

AU - Ellenbroek, Marcellinus Hermannus Maria

AU - Brouwer, Dannis Michel

N1 - Conference code: 10

PY - 2021/12/12

Y1 - 2021/12/12

N2 - The computation of stress in beam elements requires the internal stress resultants like axial force and bending moments. For displacement-based beam elements, these resultants can be obtained 1) based on equilibrium, 2) consistent to the constitutive law or 3) based on load interpolation functions. Although the methods give similar results in case of small deformation, the discrepancies in case of large deformation are significant. This paper shows that the method based on equilibrium gives the most accurate results.Torsion of beam elements causes warping of the cross section. This warping is constrained at clamped ends of beam elements, causing extra stress. This paper shows a method to accurately obtain the corresponding internal stress resultants, i.e. the Saint-Venant torsion moment and bimoment.

AB - The computation of stress in beam elements requires the internal stress resultants like axial force and bending moments. For displacement-based beam elements, these resultants can be obtained 1) based on equilibrium, 2) consistent to the constitutive law or 3) based on load interpolation functions. Although the methods give similar results in case of small deformation, the discrepancies in case of large deformation are significant. This paper shows that the method based on equilibrium gives the most accurate results.Torsion of beam elements causes warping of the cross section. This warping is constrained at clamped ends of beam elements, causing extra stress. This paper shows a method to accurately obtain the corresponding internal stress resultants, i.e. the Saint-Venant torsion moment and bimoment.

KW - Beam

KW - Stress

KW - Internal stress resultants

KW - Vlasov beam theory

KW - Flexures

M3 - Conference contribution

SP - 68

EP - 79

BT - Proceedings of the10th ECCOMAS Thematic Conference on MULTIBODY DYNAMICS

A2 - Kövecses, József

A2 - Stépán, Gábor

A2 - Zelei, Ambrus

PB - Budapest University of Technology and Economics

CY - Budapest

T2 - 10th ECCOMAS Thematic Conference on Multibody Dynamics 2021

Y2 - 12 December 2021 through 15 December 2021

ER -

Computation of internal stress resultants in beam elements with constrained torsional warping

Abstract

Conference

Keywords

Access to Document

Fingerprint

Cite this