Application of the vincent circle to noise suppression

D. W. Herrin, G. Sampath

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


The Vincent Circle 1,2 principle may be stated as follows. If a structure is excited harmonically, the response at another position at a particular frequency will trace a circle in the complex plane as a result of a dynamic stiffness modification between two points. As either the real or imaginary part of an introduced dynamic stiffness is varied from plus and minus infinity, the structural or acoustic response will map a circle in the complex plane. This paper summarizes the basis for this little known principle. Two numerical simulations are included to demonstrate how the principle can be applied. In the first example, a cantilevered plate is used to confirm that the principle is amenable to noise problems. A similar analysis is then performed on a construction cab to illustrate the applicability of the method if the structure is excited at multiple locations. The results suggest that the principle can be used in place of or in conjunction with more sophisticated numerical optimization schemes.

Original languageEnglish
Title of host publication2008 Proceedings of the NoiseCon/ASME NCAD, NCAD 2008
Number of pages5
StatePublished - 2009
Event2008 NoiseCon/ASME NCAD, NCAD 2008 - Dearborn, MI, United States
Duration: Jul 28 2008Jul 30 2008

Publication series

Name2008 Proceedings of the NoiseCon/ASME NCAD, NCAD 2008


Conference2008 NoiseCon/ASME NCAD, NCAD 2008
Country/TerritoryUnited States
CityDearborn, MI

ASJC Scopus subject areas

  • Mechanical Engineering
  • Acoustics and Ultrasonics


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