Publication Date:
2011-06-21
Description:
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. Content Type Journal Article Pages 1-10 DOI 10.1007/s00707-011-0501-3 Authors G. Popov, Institute of Mathematics, Economics and Mechanics, Odessa Mechnikov University, str. Dvoryanskaya, 2, 65082 Odessa, Ukraine N. Vaysfel’d, Institute of Mathematics, Economics and Mechanics, Odessa Mechnikov University, str. Dvoryanskaya, 2, 65082 Odessa, Ukraine Journal Acta Mechanica Online ISSN 1619-6937 Print ISSN 0001-5970
Print ISSN:
0001-5970
Electronic ISSN:
1619-6937
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Physics
