Series impedances, including source and transfer impedances, are commonly used to model a variety of noise sources and noise treatment elements in duct systems. Particle velocity is assumed to be constant on the plane where the series impedances are defined. The research reported herein details investigations into measuring source and transfer impedance. Especially, the measurement and prediction of the transfer impedance of micro-perforated panel (MPP) absorbers is considered. A wave decomposition method for measuring source impedance and source strength was developed that was purely based on acoustic concepts instead of the equivalent circuit analysis. The method developed is a two-load method. However, it is not necessary to know the impedances of either load a priori. The selection of proper loads was investigated via an error analysis, and the results suggested that it was best to choose one resistive and one reactive load. In addition, a novel type of perforated element was investigated. MPP absorbers are metal or plastic panels with sub-millimeter size holes or slits. In the past, Maa's equation has been used to characterize their performance. However, Maa's equation is only valid for circular perforations. In this research, an inverse method using a nonlinear least square data fitting algorithm was developed to estimate effective parameters that could be used in Maa's theory. This inverse approach was also used to aid in understanding the effect of dust and fluid contamination on the performance of MPP absorbers. In addition, an approach to enhance the attenuation of MPP absorbers by partitioning the backing cavity was investigated experimentally and numerically. Results indicated that partitioning improved the attenuating of grazing sound waves. The effect of modifying both the source and transfer impedances on the system response was also studied using the Moebius transformation. It was demonstrated that the Moebius transformation is a mathematical tool that can be employed to aid in determining and understanding the impact of acoustic impedance modifications on a vibro-acoustic system.

This work is primarily comprised of five self-contained papers. Three papers are applications oriented. A common element in the first three papers is that micro-perforated panels (MPP), the permeable membranes in diesel particulate filters, and a source impedance are all modeled as a transfer impedance. The first paper deals with enhancing the performance of micro-perforated panels by partitioning the backing cavity. Several different backing schemes are considered which enhance the performance without increasing the total volume of the MPP and backing. In the second paper, a finite element modeling approach is used to model diesel particulate filters below and above the plane wave cutoff frequency. The filter itself is modeled using a symmetric finite element model and results are compared to plane wave theory. After the transfer matrix of the filters is known, it is used in three-dimensional finite and boundary element models. The third paper is a tutorial that shows how a source impedance can be modeled using transfer impedance approaches in finite element analysis. The approach used is useful for better understanding the resonance effects caused by pipes upstream and downstream of the exhaust. The fourth paper examines the best practice for the two-load transmission loss measurement. This method was integral to obtaining the measurements for validating the diesel particulate filter models. The fifth paper proposes transmission and insertion loss metrics for multi-inlet mufflers. It is shown that the transmission loss depends on the amplitude and phase relationship between sources (at the inlets) whereas insertion loss depends on both the source strength and impedance for each inlet.

Soft trim absorbing parts (i.e., headliners, backwalls, side panels, etc.) are normally comprised of different layers including films, adhesives, foams and fibers. Several approaches to determine the complex wavenumber and characteristic impedance for porous sound absorbing materials are surveyed and the advantages and disadvantages of each approach are discussed. It is concluded that the recently documented three-point method produces the smoothest results. It is also shown that measurement of the flow resistance and the use of empirical equations is sufficient for many common materials. Following this, the transfer impedance of covers, adhesives, and densified layers are measured using an impedance difference approach. The transfer matrix method was then used to predict the sound absorption of a multi-layered materal which included a perforated cover, fiber layers, and an adhesive. The predicted results agree well with measurement.

Thesis (MScEng)--Stellenbosch University, 2011. / ENGLISH ABSTRACT: Through the Karoo Array Telescope, and its extension MeerKAT, South Africa is demonstrating its capabilities to host the most powerful radio telescope ever, the Square Kilometre Array (SKA). This new interferometer is intended to assist radio astronomers in unlocking the mysteries concealed in the far regions of the universe. A thorough investigation of Radio Frequency Interference (RFI) sources at each stage of the design becomes relevant for the success of the project. The electromagnetic coupling through coaxial cables is the main focus of this thesis since 90% of the Electromagnetic Compatibility (EMC) problems come from inadequate system layout and grounding, where cabling plays the major role. Interest revolves around better noise immunity, low radiation and cost. Transfer impedance (ZT ) and shielding e ectiveness (SE) are used as the cable selection criteria. Several measurements of coaxial cables identi ed on KAT-7 have been performed for ZT characterisation from 300 kHz up to 1.3 GHz. A current injection method is used to identify the ZT for the low frequency region. We derived the high frequency part of ZT , with a reverberation chamber technique (RC) measuring shielding e ectiveness. At rst, we calibrated the RC according to the relevant IEC 61000-4-21 standard and evaluated the result with an Open Area Test Site (OATS) E- eld estimation. The accuracy of the E- eld within the chamber is also addressed, based on statistical analysis of the chamber's independent samples. The OATS E- eld equivalent determination showed a good correlation with the OATS E- eld data of a standard radiator. A coaxial air-line ZT veri ed the theoretical ZT model within 7 dB and showed the expected 20 dB/decade slope variation. Furthermore, the braiding porpoising e ect has been noticed with some cable samples. Here, a variation less than 20 dB/decade occurs at lower frequency. Then, the slope changes to 20 dB/decade at high frequency. This study illustrates a practical comparison of cable performance and constitutes a rst approach to RFI mitigation of the MeerKAT cabling system. / AFRIKAANSE OPSOMMING: Deur middel van die Karoo Reeks Teleskoop, asook sy uitbreiding MeerKAT, demonstreer Suid-Afrika sy vermo om die mees kragtige radioteleskoop ooit, die Vierkante Kilometer Reeks (SKA), te vestig. Hierdie nuwe interferometer is bedoel om radiosterrekundiges te help in die ontsluiting van die geheimenisse wat versteek is in die verre reike van die heelal. 'n Deeglike ondersoek van Radio Frekwensie Steurings (RFS) bronne by elke stadium van die ontwerp is belangrik vir die sukses van die projek. Die elektromagnetiese koppeling deur koaksiale kabels is die hoo okus van hierdie tesis, aangesien 90% van die elektromagnetiese versoenbaarheid (EMV) probleme ontstaan as gevolg van onvoldoende stelsel-uitleg en beaarding, waar kabels die hoofrol speel. Beter ruis-immuniteit, lae straling en koste vorm die areas van belang. Oordragimpedansie (ZT ) en afskermingsdoeltre endheid (SE) word gebruik as die kabelkeuringskriteria. Verskeie metings van koaksiale kabels wat op KAT-7 gedenti seer is, is uitgevoer vir ZT karakterisering van 300 kHz tot 1,3 GHz. 'n Stroom-induseringsmetode is gebruik om die ZT vir die lae-frekwensiebereik te identi seer. Ons het die ho-frekwensie deel van ZT afgelei met 'n weerkaatsingskamer tegniek (RC) wat afskermingsdoeltre endheid meet. Eerstens het ons die RC gekalibreer volgens die relevante IEC 61000-4-21 standaard en die resultaat met 'n Ope Area Toetsterrein (OAT) E-veld benadering gevalueer. Die akkuraatheid van die E-veld in die kamer is ook aangespreek, gebaseer op 'n statistiese analise van die kamer se onafhanklike monsters. Die OAT E-veld ekwivalente benadering het goed met die OAT E-veld data van 'n standaard uistraler gekorreleer. 'n Koaksiale lugmedium-transmissielyn ZT bevestig die teoretiese ZT model binne 7 dB en het ook die verwagte 20 dB/dekade variasie in helling getoon. Verder is die golwende e ek oor die kabelomvlegting opgemerk met sekere kabels. Hier is 'n variasie van minder as 20 dB/dekade gevind by die laer frekwensie. Dan verander die helling na 20 dB/dekade teen ho frekwensie. Hierdie studie toon 'n praktiese vergelyking van die verrigting van die kabel en 'n eerste benadering tot RFS tempering van die MeerKAT kabelstelsel.

This thesis discusses the aero-acoustic characterisation of a perforate sample using a three-port technique. A rectangular T-junction with a flush mounted perforated sample at the intersection form the acoustical three-port. Under acoustic excitation from three different directions a direct method of impedance determination is incorporated to experimentally determine the passive acoustic properties of the perforate. The three-port scattering matrix and the normalised transfer impedance are calculated in the presence of grazing flow and for high-level excitation and the behaviour of these characteristics is studied. Validation of the determined results in the linear range is carried out by comparing it with existing models. Moreover, based on the experimental results for low grazing flow velocities the dependence of the real part of the transfer impedance on the grazing flow parameters as well as dimensionless numbers is described, and a semi-empirical model quantifying the behaviour is proposed. Furthermore, the thesis explains some experimental errors pertaining to standing wave patterns and operating conditions, and corrections are suggested to reduce the errors. / <p>QC 221007</p>