Vibrations of two beams elastically coupled together at an arbitrary angle

doi:10.1016/S0894-9166(12)60007-X

Acta Mechanica Solida Sinica

Volume 25, Issue 1, February 2012, Pages 61-72

https://doi.org/10.1016/S0894-9166(12)60007-X Get rights and content

Abstract

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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: The authors would like to thank Dr. Dino Alves at United Technologies Research Center and Dr. Vijay Jayachandran at Otis Elevator Company for their valuable discussions and supports throughout this work.

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Vibrations of two beams elastically coupled together at an arbitrary angle

Abstract

Journal of Sound and Vibration

Journal of Sound and Vibration

Journal of Sound and Vibration

Computers and Structures

Journal of Sound and Vibration

Journal of Sound and Vibration

International Journal of Solids and Structures

Journal of Sound and Vibration

Journal of Sound and Vibration

Journal of Sound and Vibration