Vibrations of Pinned–Pinned Heterogeneous Circular Beams Subjected to a Radial Force at the Crown Point

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.

Keywords:

• Circular beam
• Free vibrations
• Green function matrix. Heterogeneous material
• Loaded vibrations

Notes

#Communicated by Wei-Chau Xie.

Dedicated to Professor Barna Szabó on the occasion of his eightieth birthday.

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