Papers Published

1. Wilson, James F. and Lee, Byoung Koo and Oh, Sang Jin, Free vibrations of circular arches with variable cross-section, Structural Engineering and Mechanics, vol. 2 no. 4 (1994), pp. 345 - 357 .
   (last updated on 2007/04/09)

   Abstract:
   The differential equations governing free, in-plane vibrations of linearly elastic circular arches with variable cross-sections are derived and solved numerically for quadratic arches with three types of rectangular cross sections. Frequencies, mode shapes, cross-sectional load distributions, and the effects of rotary inertia on frequencies are reported. Experimental measurements of frequencies and their corresponding mode shapes agree closely with those predicted by theory. The numerical methods presented here for computing frequencies and mode shapes are efficient and reliable.

   Keywords:
   Mathematical models;Vibrations (Mechanical);Elasticity;Numerical analysis;