Wave propagation on helices and hyperhelices: a fractal regression

Abstract

A hyperhelix of order N is de­ ned 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 k de­ ning propagation on the… (More)

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