Vibration Modes of a Hollow Cylinder

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Model Data

Type: structural mechanics

Physics Modes: axisymmetric stress strain

Keywords: linear elasticity axisymmetry resonance frequencies validation

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].

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Reference

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