Free vibration of non-uniform Euler-Bernoulli beams with general elastically end constraints using Adomian modified decomposition method

A study of vibration of geometrically segmented beams with and without crack

Wave propagation, reflection and transmission in non-uniform one-dimensional waveguides

Modelling of transverse vibration of beam of linearly variable depth with edge crack

Free vibrations of tapered beams with flexible ends

Free vibrations of nonuniform cantilever beams with an end support have been investigated, using the equations of Bernoulli‐Euler. Two configurations of interest are treated: (a) constant width and linearly variable thickness, and (b) constant thickness and linearly variable width. Charts have been plotted for each case from which the fundamental frequency, the second harmonic, and the third harmonic can be easily determined for various taper ratios. The Tables from which these charts were plotted are also included.

C. B. Rogers

Papers

Transverse Vibrations of Tapered Cantilever Beams with End Support