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Numerical analysis of damped transient beam vibrations by use of Fourier transforms

✍ Scribed by Lennart Karlsson

Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
350 KB
Volume
21
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

As an approximation for the mechanism behind noise emission from a rock drilling rod, the transient damped vibrations of a beam (the drilling rod) in bending and shear is studied. At one end the beam is supported by a distributed damped Winkler‐type foundation. In order to determine required transfer function from an applied moment at the other end of the beam, it is divided into two finite elements. Each element is treated as a uniform Rayleigh–Timoshenko beam in an ambient medium. The fast Fourier transform (FFT) technique is utilized. Good agreement between calculated and measured strains is obtained. A single‐figure measure which is approximately proportional to the sound power radiated from the vibrating beam is calculated for different damping materials at the supported end. It is found that a relatively high value of the stiffness of the Winkler‐type foundation is needed if a significant level of reduction in the sound power radiated from the beam is to be achieved.

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