TY - GEN

T1 - Application of the Vincent Circle to vibro-acoustic systems

AU - Herrin, D. W.

AU - Sampath, G.

AU - Liu, J.

AU - Song, H.

PY - 2009

Y1 - 2009

N2 - The Vincent Circle [1-2] principle may be stated as follows. If a structure is excited harmonically, the response at another position at a fixed 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 minus infinity to plus infinity, the structural or acoustic response on any position will map a circle in the complex plane. This paper summarizes the basis for this little known principle, and then three examples are included to demonstrate how the principle can be applied to noise suppression. 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. Finally, the method is shown to be applicable to muffler and silencer systems for a modification of the source or termination impedance.

AB - The Vincent Circle [1-2] principle may be stated as follows. If a structure is excited harmonically, the response at another position at a fixed 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 minus infinity to plus infinity, the structural or acoustic response on any position will map a circle in the complex plane. This paper summarizes the basis for this little known principle, and then three examples are included to demonstrate how the principle can be applied to noise suppression. 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. Finally, the method is shown to be applicable to muffler and silencer systems for a modification of the source or termination impedance.

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M3 - Conference contribution

AN - SCOPUS:84861537571

SN - 9781605609614

T3 - Conference Proceedings of the Society for Experimental Mechanics Series

BT - IMAC-XXVII

T2 - 27th Conference and Exposition on Structural Dynamics 2009, IMAC XXVII

Y2 - 9 February 2009 through 12 February 2009

ER -