A Note on the Coupled Free Bending and Torsional Vibrations of Beams

概要

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In discussing lateral vibrations of beams it is always assumed that the beam vibrates in its plane of symmetry. If it is not the case, the lateral vibrations will usually be coupled with torsional vibrations. This paper deals with the natural vibrations of beams in which the shear-center axis is not collinear with the centroidal axis. Fundamental expressions are derived from energy considerations which, in turn, are based upon assumed normal elastic deflection curves in bending and torsion. The Rayleigh-Ritz method is employed to determine the natural circular frequencies. Frequency equations thus obtained involve some dimensionless values which depend upon the various physical characteristics and the end conditions of the beam under consideration.
信州大学工学部の論文
1957-11-30