Coupled longitudinal and transverse vibrations of tensioned Euler-Bernoulli beams with general linear boundary conditions

Vladislav S. Sorokin*, Jon Juel Thomsen, Marie Brøns

*Corresponding author for this work

    Research output: Contribution to journalJournal articleResearchpeer-review

    12 Downloads (Pure)

    Abstract

    The paper concerns coupling between longitudinal and transverse vibrations of tensioned Euler-Bernoulli beams with general linear boundary conditions of arbitrary elastic stiffness. The beams are assumed to be perfectly straight with symmetric boundary conditions, and excitation aligned with the longitudinal axis. Two types of excitation, harmonic and impact, are considered. A relatively simple approach is proposed to predict and qualitatively describe the coupling, allowing approximate explicit analytical expressions for the key parameters affecting the phenomenon. The beam model considered, with both ends supported by longitudinal, translational and rotational springs, can be used in particular to model tensioned bolts used in engineering. The effects of beam tension on the coupling phenomenon are revealed. A series of physical experiments is carried out to illustrate application of the obtained theoretical predictions. Numerical solution of the full nonlinear equations governing coupled transverse-longitudinal vibrations has been conducted to validate the theoretical predictions.

    Original languageEnglish
    Article number107244
    JournalMechanical Systems and Signal Processing
    Volume150
    Number of pages21
    ISSN0888-3270
    DOIs
    Publication statusPublished - 2021

    Keywords

    • Coupled transverse-longitudinal vibrations
    • General boundary conditions
    • Nonlinear Euler-Bernoulli beam
    • Parametric resonance
    • Tensioned bolts

    Fingerprint

    Dive into the research topics of 'Coupled longitudinal and transverse vibrations of tensioned Euler-Bernoulli beams with general linear boundary conditions'. Together they form a unique fingerprint.

    Cite this