Influence of Secondary Inertia Terms on Natural Frequencies of Rotating Beams

Author:

Bogdanoff J. L.1

Affiliation:

1. Purdue University, Lafayette, Ind.

Abstract

Abstract The equations of small motion of a straight cantilever beam attached to the rim of a rotating disk are determined assuming the Bernoulli-Euler theory of bending and the Saint Venant theory of torsion are valid, the mass and elastic axes coinciding and retaining all inertia terms. Influence of the secondary inertia terms on the fundamental torsional and lateral frequencies is then examined at two angular settings for a uniform beam having a length to disk-radius ratio in the range usually encountered in gas-turbine buckets and axial-flow compressor blades.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Nonlinear vibrations of a rotating pretwisted blade;Computers & Structures;1975-06

2. Equations for the vibration of a rotating blade;Mechanics Research Communications;1974-01

3. Free vibration of initially stressed solids, with particular reference to centrifugal-force effects in rotating machinery;Journal of Strain Analysis;1973-10-01

4. Vibration analysis of rotating cantilever plates;International Journal for Numerical Methods in Engineering;1971-04

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