Acta Mechanica Solida Sinica

, Volume 25, Issue 1, pp 61–72 | Cite as

Vibrations of Two Beams Elastically Coupled Together at an Arbitrary Angle

Article

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.

Key words

coupled beams beams free vibrations 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2012

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringWayne State UniversityDetroitUSA
  2. 2.United Technologies Research CenterEast HartfordUSA

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