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Wave Propagation on Helices and Hyperhelices: A Fractal Regression

Fletcher, Neville H; Tarnopolskaya, T; de Hoog, F R


A hyperhelix of order N is defined to be a self-similar object consisting of a thin elastic rod wound into a helix, which is itself wound into a larger helix, until this process has been repeated N times. Wave propagation on such a structure can be discussed in a hierarchical manner, ultimately in terms of the wavenumber κ defining propagation on the elementary rod. It is found that the dispersion curve expressing the wave frequency ω as a function of the elementary wavenumber κ on the rod...[Show more]

CollectionsANU Research Publications
Date published: 2001
Type: Journal article
Source: Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences
DOI: 10.1098/rspa.2000.0654


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