| Abstract: | We study the problem of the torsional oscillations of a plane disk-shaped die coupled with the upper boundary of a multilayer
elastic base containing a vertical cylindrical cavity whose axis is perpendicular to the interface of the layers. The problem
is stated as paired integral equations connected with the Weber integral transforms. To couple the solutions in the layers
we use the method of initial parameters, which makes it possible to express the stress-strain state in any layer in terms
of the solution of a Fredholm integral equation of second kind, to which the paired equations reduce. We exhibit an algorithm
for numerical implementation of the problem.
Translated fromDinamicheskie Sistemy, No. 13, 1994, pp. 55–61. |
