Abstract

In complex branching structures, recursive algorithms are often employed to calculate impedances at successive nodes. For a rigid symmetric Nth-order branching network terminating in 2N closed branches, a technique is presented whereby the open-ended input impedance, and its corresponding resonance condition, can be explicitly formulated in terms of the branch lengths and cross-sectional areas, the angular frequency, and the integral harmonic number. In the low-frequency range, the resonance condition can be modified so as to facilitate volume estimation of the branching structures. Experimental studies with rigid second-order symmetric and asymmetric branching structures are discussed. [Work supported by the University of Connecticut Research Foundation.]

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