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

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

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