Wave Propagation on Helices and Hyperhelices: A Fractal Regression
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|
|Source:||Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences|
|01_Fletcher_Wave_Propagation_on_Helices_2001.pdf||410.71 kB||Adobe PDF||Request a copy|
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.