Wave Propagation on Helices and Hyperhelices: A Fractal Regression
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Fletcher, Neville H.; Tarnopolskaya, T; de Hoog, F R
Description
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]
Collections | ANU Research Publications |
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Date published: | 2001 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/68363 |
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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01_Fletcher_Wave_Propagation_on_Helices_2001.pdf | 410.71 kB | Adobe PDF | Request a copy |
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