Ray Expansions in Dynamic Contact Problems
The contact dynamic problems are those connected with nonstationary interactions of such thin bodies as plates and shells with a surrounding medium.
The problems connected with nonstationary interactions of thin shells with a surrounding medium belong to the contact dynamic problems and are of practical significance. These problems are the topical problems just as from the view point of fundamental investigations dealing with the contact dynamic problems, so also in the view of their applications to various fields of modern production, such as in problems in mining art when investigating the interaction of a working with a support, in petroleum extractive and refining industry in storage of oil and petroleum products in spherical subsurface vessels, in seismology and seismic survey when cavities of the Earth’s crust interacting with incident and reflected waves may...
- Birger IA, Panovko YG (1968) Strength, stability, vibrations, vol 3. Mashinostroenie, MoscowGoogle Scholar
- Rossikhin YA, Shitikova MV (1996) Nonstationary vibrations of a nonlinear plate resting on an elastic isotropic half-space. In: Proceedings of the international conference on nonlinear theory and its application (NOLTA’96), Kochi, 7–9 Oct 1996, pp 412–424Google Scholar
- Rossikhin YA, Shitikova MV (1999a) Nonlinear nonstationary vibrations of an elastic cylindrical shell embedded into an elastic isotropic medium. In: Proceedings of the international conference on vibration, noise and structural dynamics’99, Venice, 28–30 Apr 1999, pp 378–385Google Scholar
- Rossikhin YA, Shitikova MV (2000) Transient vibrations of a nonlinear spherical shell being in external contact with an elastic isotropic medium. In: Proceedings of the 7th international conference on recent advances in structural dynamics, Southampton, vol 1, 24–27 July 2000, pp 441–452Google Scholar
- Timoshenko SP (1936) Theory of elastic stability. McGrow-Hill, New YorkGoogle Scholar