TY - GEN
T1 - Exploiting the complex plane
T2 - ASME 2012 Noise Control and Acoustics Division Conference at InterNoise 2012, NCAD 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 straight line 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 straight line 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.
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U2 - 10.1115/NCAD2012-1208
DO - 10.1115/NCAD2012-1208
M3 - Conference contribution
AN - SCOPUS:84884841397
SN - 9780791845325
T3 - American Society of Mechanical Engineers, Noise Control and Acoustics Division (Publication) NCAD
SP - 457
EP - 463
BT - ASME 2012 Noise Control and Acoustics Division Conference at InterNoise 2012, NCAD 2012
Y2 - 19 August 2012 through 22 August 2012
ER -