Application of the boundary integral equation method to the coupled bending-torsional vibrations of elastic beams

摘要

There have been many investigations on the elastic deformation of uniform beams with one-axis or two-axes symmetrical cross-section, but few for the more general cases of an arbitrary cross-section. As is well known, in these general cases, bending vibrations in two perpendicular directions are coupled with torsional vibrations. To deal with the coupled vibration problem, we have to find the fundamental solutions which are not available in the literature. In applying the Fourier transform and its inverse to derive the fundamental solutions, we have to evaluate a special integral which determines the detailed expressions of the fundamental solutions.