This model studies the vibration modes of a free and hollow cylinder
using an axisymmetric approximation. No loads or constrains are
applied as the free modes are sought. The cylinder is 10 m long, has
a center diameter of 2 m, and is 0.4 m thick. Moreover, the
material of the cylinder is considered to be steel with E =
2·1011 Pa, density 8000 km/m3, and a
Poisson’s ratio of 0.3. Target free vibration frequencies are given
This model is available as an automated tutorial by selecting Model
Examples and Tutorials… > Structural Mechanics > Vibration
Modes of a Hollow Cylinder from the File menu. Or alternatively,
follow the linked step-by-step instructions.
 Abbassian F, Dawswell DJ, Knowles NC. Free Vibration Benchmarks, NAFEMS,
Test 41, 1987.