Dunkerley-Mikhlin Estimates of Gravest Frequency of a Vibrating System

Author:

Brock J. E.1

Affiliation:

1. Department of Mechanical Engineering, Naval Postgraduate School, Monterey, Calif.

Abstract

Estimates are made of the smallest nonzero frequency of vibration of undamped linear mechanical systems having lumped and/or distributed mass and permitting rigid body motions. The approximations are smaller than the correct values but remarkable accuracy may be achieved. The procedures are based upon methods of S. Dunkerley and S. G. Mikhlin.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Cited by 9 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. Multiple Degree of Freedom Systems;Advanced Structural Dynamics;2017-08-07

2. Natural Frequency of Beams;Formulas for Dynamics, Acoustics and Vibration;2016-04-29

3. An iterative technique based on the Dunkerley method for determining the natural frequencies of vibrating systems;Journal of Sound and Vibration;1991-10

4. Estimating the fundamental natural frequency of towers by Dunkerley's method;Journal of Sound and Vibration;1986-09

5. Estimation of Fundamental Dynamic Characteristics of Transmission Towers;IEEE Transactions on Power Apparatus and Systems;1985-03

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