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- Title
The Vincent Circle.
- Authors
Herrin, David W.; Jinghao Liu
- Abstract
More than 30 years ago, A. H. Vincent of Westland Helicopters demonstrated that if a structure is excited harmonically at a fixed frequency, the response at another position will trace a circle in the complex plane as a result of a stiffness modification between two points. This can be more generally expressed in the following manner. The structural or acoustical response at any position will map a circle in the complex plane for any straight line impedance modification in the complex plane. This article reviews the basis for this little-known principle and illustrates its usefulness for vibro-acoustics problems. The principle is demonstrated for noise radiation from a cantilevered plate and operator equipment cab. The technique can also be applied to waveguides.
- Subjects
VINCENT, A. S.; WESTLAND Helicopters Ltd.; ACOUSTICAL engineering; VIBRATION (Mechanics); NOISE; SOUND
- Publication
Sound & Vibration, 2011, Vol 45, Issue 10, p6
- ISSN
1541-0161
- Publication type
Article