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

Marijn Nijenhuis*, Ben Jonker, Dannis Brouwer

*Corresponding author for this work

    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

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  • 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