VIBRATION ANALYSIS OF ROTATING CANTILEVER BEAMS

✍ Scribed by Yoo, H. H. (author);Shin, S. H. (author)

• Publisher: Academic Press
• Year: 1998
• Tongue: English
• Weight: 309 KB
• Volume: 212
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1997.1469

✦ Synopsis

Equations of motion of a rotating cantilever beam are derived based on a new dynamic modelling method in this paper. The derived equations (governing stretching and bending motions), which are coupled through gyroscopic coupling terms, are all linear, so they can be directly used for the vibration analysis including the coupling effect, which could not be considered in the conventional modelling method. With the coupling effect ignored, the analysis results are consistent with the results obtained by the conventional modelling method. With the coupling effect considered, eigenvalue loci veerings and mode shape variations could be observed through numerical study. Generally, when the rotating speed increases up to a certain value, the analysis results including the coupling effect show significant difference compared to the results ignoring the coupling effect. A modal formulation method is also introduced in this study to calculate the tuned angular speed of a rotating beam at which resonance occurs.