Natural Frequencies of Coupled Beams:The Effect of Geometric Parameters
DOI:
https://doi.org/10.17072/1993-0550-2026-3-58-70Ключевые слова:
сопряженные стержни, собственные колебания, расхождение частотАннотация
The effect of geometric parameters on the planar free vibrations of a two-beam structure coupled at a fixed angle is studied. The total mass of the structure and the thickness parameter are kept constant, while the coupling angle, the beam-length ratio, and the cross-sectional radius ratio are varied. The study examines the effect of these parameters on the lower natural frequencies and vibration modes. It is shown that geometric asymmetry may lead to vibration localization; in such cases, the frequency curves veer rather than cross, accompanied by mode swapping. This effect becomes more pronounced as the coupling between the parts of the structure weakens; such weakening occurs, for example, with increasing coupling angle and length ratio. The relationship between the natural frequencies of the structure and the frequencies of the uncoupled beams, referred to as partial frequencies, is also examined. The analytical results obtained within the Euler–Bernoulli beam theory agree well with the numerical results from the finite element analysis.
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