期刊
ACTA MECHANICA SOLIDA SINICA
卷 25, 期 1, 页码 61-72出版社
SPRINGER
DOI: 10.1016/S0894-9166(12)60007-X
关键词
coupled beams; beams; free vibrations
A general analytical method is developed for the vibrations of two beams coupled together at an arbitrary angle. The stiffness of a joint can take any value from zero to infinity to better model many real-world coupling conditions. Both flexural and longitudinal waves are included to account for the cross-coupling effects at the junctions. Each displacement component is here invariantly expressed, regardless of the coupling or boundary conditions, as a Fourier series supplemented by several closed-form functions to ensure the uniform convergence of the series expansions. Examples are presented to compare the current solution with finite element and experimental results.
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