Spectral finite element of a helix |
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Authors: | H. Shahsavari M. Ostoja-Starzewski |
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Affiliation: | Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montréal, Québec, Canada H3A 2K6 |
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Abstract: | Determination of a spectral (i.e. frequency dependent) finite element of a helix is the focus of this communication. The helix is treated as straight, linear elastic element, exhibiting coupling of axial with torsional responses. We derive explicit forms of all the coefficients of the stiffness matrix and plot their dependencies on the frequency and the parameter describing the said coupling. In general, the growth of that parameter leads to a progressively denser occurrence of the resonances of both axial and torsional motions. |
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Keywords: | Helix Wire rope Wave propagation Spectral finite element Vibration |
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