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The oscillatory flow and pressure characteristics of two-port hydraulic components can be represented using transfer matrices. These can be linked together to create mathematical models of complete circuits. These models can be used to analyze the dynamic behaviour or the noise characteristics of the circuit. This paper presents a method for the measurement of frequency domain transfer matrix characteristics of components. Measured results are presented for a simple pipe and compared with theoretical predictions. Results are also presented for flexible hoses with and without tubular inserts, as used in automotive power steering systems. The noise attenuation properties of the hoses are discussed with respect to these results.
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Johnston et al. (1994) studied this question.