Effect of support flexibility on the fundamental frequency of vibrating beams

✍ Scribed by J.C. MacBain; Joseph Genin

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 911 KB
• Volume: 296
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(73)90797-7

✦ Synopsis

The effect of rotational and translational support jlexibility on the fundamental frequency of both an almost-clamped-clamped beam and aJexibly supported cantilever beam is considered. In each case the effect of a rotatiomzlly jlexible support becomes more pronounced for decreasing values of the le?zgth-to-depth ratio. It is shown that the effect of end-jixity on the fundamental frequency can be of a magnitude equal to or greater than that due to the effect of shear deformation or rotatory inertia. Results using Bernoulli-Euler beam theory and Timoshenko beam theory are compared. Expressions are formulated that give the fundamental frequency aa a function of the support jiexibility, length to depth ratio and fundamental frequency for a rigid support.