Importance of Warping in Beams with Narrow Rectangular Cross-Sections: An Analytical, Numerical and Experimental Flexible Cross-Hinge Case Study

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

Abstract

This paper reports on the significance of warping deformation on the stability analysis of a flexible cross-hinge mechanism, which consists of two leaf springs with rectangular cross-section. The effect of misalignments in this mechanism is studied analytically, numerically and experimentally. An analytical buckling analysis is carried out to determine the theoretical critical load of a generalized cross-hinge mechanism on the basis of first principles. A geometrically nonlinear beam finite element with a non-uniform torsion description is used to model the leaf springs numerically. The change in natural mode frequencies and stiffness as a function of the misalignment is determined by a multibody program. Measurements from a dedicated experimental set-up confirm that the inclusion of warping effects is crucial, even for narrow rectangular cross-sections: it is found that the effects of warping increase the analytical critical buckling load of the system by 55%.

Original languageEnglish
Title of host publicationMultibody Dynamics 2019
Subtitle of host publicationProceedings of the 9th ECCOMAS Thematic Conference on Multibody Dynamics
EditorsAndrés Kecskeméthy, Francisco Geu Flores
Place of PublicationCham
PublisherSpringer
Pages199-206
Number of pages8
ISBN (Electronic)978-3-030-23132-3
ISBN (Print)978-3-030-23131-6
DOIs
Publication statusPublished - 1 Jan 2020
EventMultibody Dynamics 2019: 9th ECCOMAS Thematic Conference - University of Duisburg-Essen, Duisburg, Germany
Duration: 15 Jul 201918 Jul 2019

Publication series

NameComputational Methods in Applied Sciences
PublisherSpringer
Volume53
ISSN (Print)1871-3033

Conference

ConferenceMultibody Dynamics 2019
CountryGermany
CityDuisburg
Period15/07/1918/07/19

Fingerprint

Leaf springs
Warping
Hinges
Buckling
Cross section
Misalignment
Leaves
Torsional stress
Critical Load
Stiffness
First-principles
Torsion
Stability Analysis
Inclusion
Finite Element
Model

Cite this

Nijenhuis, M., Jonker, B., & Brouwer, D. (2020). Importance of Warping in Beams with Narrow Rectangular Cross-Sections: An Analytical, Numerical and Experimental Flexible Cross-Hinge Case Study. In A. Kecskeméthy, & F. Geu Flores (Eds.), Multibody Dynamics 2019: Proceedings of the 9th ECCOMAS Thematic Conference on Multibody Dynamics (pp. 199-206). (Computational Methods in Applied Sciences; Vol. 53). Cham: Springer. https://doi.org/10.1007/978-3-030-23132-3_24
Nijenhuis, Marijn ; Jonker, Ben ; Brouwer, Dannis. / Importance of Warping in Beams with Narrow Rectangular Cross-Sections : An Analytical, Numerical and Experimental Flexible Cross-Hinge Case Study. Multibody Dynamics 2019: Proceedings of the 9th ECCOMAS Thematic Conference on Multibody Dynamics. editor / Andrés Kecskeméthy ; Francisco Geu Flores. Cham : Springer, 2020. pp. 199-206 (Computational Methods in Applied Sciences).
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Nijenhuis, M, Jonker, B & Brouwer, D 2020, Importance of Warping in Beams with Narrow Rectangular Cross-Sections: An Analytical, Numerical and Experimental Flexible Cross-Hinge Case Study. in A Kecskeméthy & F Geu Flores (eds), Multibody Dynamics 2019: Proceedings of the 9th ECCOMAS Thematic Conference on Multibody Dynamics. Computational Methods in Applied Sciences, vol. 53, Springer, Cham, pp. 199-206, Multibody Dynamics 2019, Duisburg, Germany, 15/07/19. https://doi.org/10.1007/978-3-030-23132-3_24

Importance of Warping in Beams with Narrow Rectangular Cross-Sections : An Analytical, Numerical and Experimental Flexible Cross-Hinge Case Study. / Nijenhuis, Marijn; Jonker, Ben; Brouwer, Dannis.

Multibody Dynamics 2019: Proceedings of the 9th ECCOMAS Thematic Conference on Multibody Dynamics. ed. / Andrés Kecskeméthy; Francisco Geu Flores. Cham : Springer, 2020. p. 199-206 (Computational Methods in Applied Sciences; Vol. 53).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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Nijenhuis M, Jonker B, Brouwer D. Importance of Warping in Beams with Narrow Rectangular Cross-Sections: An Analytical, Numerical and Experimental Flexible Cross-Hinge Case Study. In Kecskeméthy A, Geu Flores F, editors, Multibody Dynamics 2019: Proceedings of the 9th ECCOMAS Thematic Conference on Multibody Dynamics. Cham: Springer. 2020. p. 199-206. (Computational Methods in Applied Sciences). https://doi.org/10.1007/978-3-030-23132-3_24