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In this paper it is shown that time-frequency analysis of a transient structural response may be used to identify the wave-types carrying significant energy through a multi-element structure. The identification of various wave-types is possible since each is characterized by its own dispersion relation, with the result that each wave-type may be associated with characteristic features in the time-frequency domain representation of a structural response. For multi-element structures, propagating energy can be converted from one wave-type to another at the junction of the elements. Consequently, for those structures, the characteristic features in the time-frequency domain consist of the superposition of features associated with propagation in each element. In the work described here, the Wigner Distribution has been used to obtain time-frequency domain representations of structural transient responses.

The object of the work reported here was to relate the acoustic intensity level measured near the contact patch of a driven tire on a passenger vehicle with the passby noise levels measured at a sideline microphone during coast and cruise conditions. Based on those measurements it was then possible to estimate the tire noise contribution to the passby level measured when the vehicle under test was accelerating. As part of this testing program, data was collected using five vehicles at fourteen passby sites in the United States: in excess of 800 data sets were obtained.

It has been noted that there are consistent differences between sideline sound levels measured on the two track types used for standardized motor vehicle passby testing: i.e., ISO and SAE surfaces. When the two-microphone transfer function method was first used in conjunction with a two parameter ground model to characterize the acoustical properties of these asphalt surfaces it was found that there were significant acoustical differences between the ISO and SAE surfaces. However, it was also noted that environmental conditions, e.g., wind and temperature gradients, affected the estimates of surface properties obtained by using that method. In the present work, a ray tracing algorithm has been used to model the effects of environmental refraction on short range propagation over asphalt, and a physically-based single parameter ground model has been used to characterize the asphalt surfaces.

A simple mathematical model was developed and experimentally validated to evaluate how the materials and construction of an automobile tire affect its vibration-radiated noise performance. The mathematical model uses Statistical Energy Analysis (SEA) with modal joint acceptance formulations for wavespeed and radiation efficiency of orthotropically-stiffened and pressurized cylindrical shells. Experimental validation of the model included wavenumber decomposition to determine the dispersion characteristics of an inflated, non-rolling tire in the laboratory. The model is used to conduct a preliminary study into how the various tire constituent materials and construction parameters influence the vibration-radiated noise performance.