Free vibration of a cantilevered beam with multiple steps: Comparison of several theoretical methods with experiment

✍ Scribed by J.W. Jaworski; E.H. Dowell

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 249 KB
• Volume: 312
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/j.jsv.2007.11.010

✦ Synopsis

The flexural-free vibration of a cantilevered beam with multiple cross-section steps is investigated theoretically and experimentally. Experimental results are compared against Euler-Bernoulli beam theory solutions from Rayleigh-Ritz and component modal analyses, as well as finite element results using the commercial package ANSYS. Finite elements are also used to investigate a Timoshenko beam, a two-dimensional shell, and a three-dimensional solid element model. A detectable difference in the first in-plane bending natural frequency is noted between the beam theory results and those of the higher-dimensional finite element models and experimental observation. The convergence of the several theoretical approaches and their effectiveness as analysis and design methods for multiple-stepped beams are also discussed.