Straight-through concentric resonators have been modeled by coupling the acoustic wave propagation through the inner perforated pipe and the outer cavity by means of the radial particle velocity through the perforate holes. The decoupled equations of wave propagation are solved using the boundary conditions in the cavity resulting in a two-by-two transfer matrix. In this study the decoupling procedure was used for deriving the transfer matrix for a partially perforated straight-through resonator. This transfer matrix was used for predicting the transmission loss for some typical resonator configurations. Experimental and analytical results of several resonator configurations are presented showing good agreement.
Vibro-acoustic energy travels through hose walls as longitudinal waves and flexural waves, apart from the sound waves through the fluid medium inside. Longitudinal waves in the hose wall are coupled to the sound waves inside by means of the hose-wall Poisson's ratio. Both in turn get coupled to bending or flexural waves because of the energy transfer or interaction at the bends. For any of these three types of waves incident on one end of a hose, waves of all the three types may be transmitted on the other end because of their dynamical coupling with one another. Therefore, in the present paper, expressions have been derived for the 3ϫ3 transmission loss matrix for a two-dimensional or planar piping system in terms of elements of the overall 8ϫ8 transfer matrix of the system. These expressions have then been used in a comprehensive computer program to evaluate the vibro-acoustic performance of hoses, with particular application to the automotive climate control systems with gaseous as well as liquid media. Finally, parametric studies have been made that have led to some general design guidelines.
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