Abstract
In the proposed paper, a new problem on the steady-state oscillations of an elastic infinite cone is solved for the point oscillating force enclosed to a cone’s vertex. On a cone’s conic surface, the stresses are given. The auxiliary problem for a cone truncated by a spherical surface is formulated with the aim to obtain the solution of the initial problem. The solution is constructed with the help of the integral transformation method and the method of Green’s function. The limiting transition in the solution’s formulas is carried out to obtain the exact solution of the initial problem. The calculation of the displacements and the stress wave field of the cone is performed.
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Popov, G., Vaysfel’d, N. The steady-state oscillations of the elastic infinite cone loaded at a vertex by a concentrated force. Acta Mech 221, 261–270 (2011). https://doi.org/10.1007/s00707-011-0501-3
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DOI: https://doi.org/10.1007/s00707-011-0501-3