TY - GEN
T1 - Exploting the complex plane
T2 - 41st International Congress and Exposition on Noise Control Engineering 2012, INTER-NOISE 2012
AU - Herrin, D. W.
AU - Zhang, Y.
AU - Liu, J.
PY - 2012
Y1 - 2012
N2 - If a mechanical or acoustical impedance modification is introduced between two positions, the effect of that modification can be plotted in the complex plane at a given frequency. It has been shown that the mechanical or acoustical response will trace a circle in the complex plane for straightline modifications to impedance in the complex plane. In that case, the equations relating the response to an impedance modification are in a form consistent with the Moebius transformation, which maps straight lines or circles in one complex domain into straight lines or circles in another complex plane. It is demonstrated that the equations for muffler transmission loss and mount insertion loss are in a form consistent with the Moebius transformation for certain design changes. Accordingly, the usefulness of this linear system property will be illustrated for both muffler and mount design.
AB - If a mechanical or acoustical impedance modification is introduced between two positions, the effect of that modification can be plotted in the complex plane at a given frequency. It has been shown that the mechanical or acoustical response will trace a circle in the complex plane for straightline modifications to impedance in the complex plane. In that case, the equations relating the response to an impedance modification are in a form consistent with the Moebius transformation, which maps straight lines or circles in one complex domain into straight lines or circles in another complex plane. It is demonstrated that the equations for muffler transmission loss and mount insertion loss are in a form consistent with the Moebius transformation for certain design changes. Accordingly, the usefulness of this linear system property will be illustrated for both muffler and mount design.
UR - http://www.scopus.com/inward/record.url?scp=84883564966&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84883564966&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84883564966
SN - 9781627485609
T3 - 41st International Congress and Exposition on Noise Control Engineering 2012, INTER-NOISE 2012
SP - 5714
EP - 5720
BT - 41st International Congress and Exposition on Noise Control Engineering 2012, INTER-NOISE 2012
Y2 - 19 August 2012 through 22 August 2012
ER -