M.Eskandari-Ghadi and M.Mahmoodian
Analytical Solution of TimeHarmonic Torsional Vibration of a Cylindrical Cavity in a HalfSpace
184 - 189
2012
6
1
International Journal of Mechanical and Mechatronics Engineering
https://publications.waset.org/pdf/5885
https://publications.waset.org/vol/61
World Academy of Science, Engineering and Technology
In this article an isotropic linear elastic halfspace with
a cylindrical cavity of finite length is considered to be under the
effect of a ring shape timeharmonic torsion force applied at an
arbitrary depth on the surface of the cavity. The equation of
equilibrium has been written in a cylindrical coordinate system. By
means of Fourier cosine integral transform, the nonzero
displacement component is obtained in the transformed domain. With
the aid of the inversion theorem of the Fourier cosine integral
transform, the displacement is obtained in the real domain. With the
aid of boundary conditions, the involved boundary value problem for
the fundamental solution is reduced to a generalized Cauchy singular
integral equation. Integral representation of the stress and
displacement are obtained, and it is shown that their degenerated
form to the static problem coincides with existing solutions in the
literature.
Open Science Index 61, 2012