Abstract
A thin-walled cylinder of unrestricted anisotropy is considered. Low-frequency cutoffs corresponding to bending and extension-shear motions of the cylinder mid-surface are investigated. Their explicit approximations are found by two different methods: truncating the Peano series in the exact dispersion relation and using the Kirchhoff-Love theory of shells adapted to a generally anisotropic cylinder.
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Shuvalov, A.L., Kaplunov, J. & Nolde, E. Low-Frequency Cutoffs for the Dispersion Spectrum of Elastic Waves in a Thin-Walled Anisotropic Cylinder. J Elasticity 95, 31–42 (2009). https://doi.org/10.1007/s10659-009-9190-8
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DOI: https://doi.org/10.1007/s10659-009-9190-8