General theory of cylindrical vibrations tubes. Part V. Uncoupled flexural vibrations of open tubes

Abstract

Based on the simplicity in satisfying free-edge boundary condition, open tubes vibrating injlexural mode are classified as type C and type D. Compared to type D tubes, type C tubes have relatively simpler free-edge boundary condition. An alternate formulation is developed for type D tubes in which the satisfaction of the free-edge condition is as simple and direct as in type C tubes. Analysis of type C tubes is very similar to that of closed tubes. In this paper we study the flexural vibration characteristics of a simply-supported lipped-I-section which is a typical open tube of type D.