Abstract
This article is concerned with the vibrations of heterogeneous circular beams under the assumption that the load of the beam is a dead one and is perpendicular to the centerline. It is assumed that (a) the radius of curvature is constant and (b) Young's modulus and the Poisson ratio depend on the cross-sectional coordinates. We have the following objectives: (1) to determine the Green function matrix for pinned–pinned beams provided that the beam is subjected to a radial load; (2) to develop such a numerical model which makes it possible to determine how the natural frequencies are related to a central concentrated load. We present some computational results in graphical format.
Notes
#Communicated by Wei-Chau Xie.
Dedicated to Professor Barna Szabó on the occasion of his eightieth birthday.
Color versions of one or more of the figures in the article can be found online at www.tandfonline. com/lmbd.