Vibration Modes of a Hollow Cylinder

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 in [1].

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, and also as the MATLAB simulation m-script example ex_axistressstrain1. Step-by-step tutorial instructions to set up and run this model are linked below.

Reference

[1] Abbassian F, Dawswell DJ, Knowles NC. Free Vibration Benchmarks, NAFEMS, Test 41, 1987.