DYNAMIC ANALYSIS OF A ROTATING CANTILEVER BEAM BY USING THE FINITE ELEMENT METHOD

✍ Scribed by J. CHUNG; H.H. YOO

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 381 KB
• Volume: 249
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2001.3856

✦ Synopsis

A "nite element analysis for a rotating cantilever beam is presented in this study. Based on a dynamic modelling method using the stretch deformation instead of the conventional axial deformation, three linear partial di!erential equations are derived from Hamilton's principle. Two of the linear di!erential equations are coupled through the stretch and chordwise deformations. The other equation is an uncoupled one for the #apwise deformation. From these partial di!erential equations and the associated boundary conditions, are derived two weak forms: one is for the chordwise motion and the other is for the #apwise motion. The weak forms are spatially discretized with newly de"ned two-node beam elements. With the discretized equations, the behaviours of the natural frequencies are investigated for the variation of the rotating speed. In addition, the time responses and distributions of the deformations and stresses are computed when the rotating speed is prescribed. The e!ects of the rotating speed pro"le on the vibrations of the beam are also investigated.

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