Natural frequencies of radial rotating beams

✍ Scribed by S. Putter; H. Manor

• Publisher: Elsevier Science
• Year: 1978
• Tongue: English
• Weight: 451 KB
• Volume: 56
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(78)80013-3

✦ Synopsis

Lead-lag natural frequencies and mode shapes of a radial beam mounted on a rotating disc at a 90 ~ setting angle are determined. The solution was obtained by means of the finite element technique, a high precision beam element based on a fifth degree polynomial being used as displacement function, with deflection and slope at the ends as common nodal degrees of freedom, and two integrals over the element length as nodeless additional degrees of freedom. Effects such as shearing force, rotary inertia and varying centrifugal forces are taken into consideration. Results found in the literature for a cantilever beam are in good agreement with present results. The case of a beam blade with shroud mass is also considered.