Abstract:
The spectral problem for a flexible platform (airport) floating on shallow water is examined. The platform is modeded by a flexible plate of finite width and infinite length. A waveguide eigenmode is detected which propagates along the platform and attenuates exponentially away from it. The remaining eigenmodes are outgoing and growing exponentially away from the platform. All the eigenmodes can be excited only by external action on the platform. The behavior of the platform under external loading is examined.
Citation:
L. A. Tkacheva, “Eigenvibrations of a flexible platform floating on shallow water”, Prikl. Mekh. Tekh. Fiz., 41:1 (2000), 173–181; J. Appl. Mech. Tech. Phys., 41:1 (2000), 159–166
\Bibitem{Tka00}
\by L.~A.~Tkacheva
\paper Eigenvibrations of a flexible platform floating on shallow water
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2000
\vol 41
\issue 1
\pages 173--181
\mathnet{http://mi.mathnet.ru/pmtf2884}
\elib{https://elibrary.ru/item.asp?id=17276710}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2000
\vol 41
\issue 1
\pages 159--166
\crossref{https://doi.org/10.1007/BF02465250}
Linking options:
https://www.mathnet.ru/eng/pmtf2884
https://www.mathnet.ru/eng/pmtf/v41/i1/p173
This publication is cited in the following 2 articles:
Sakthivel Somansundar, Rajamanickam Panneer Selvam, Lecture Notes in Civil Engineering, 22, Proceedings of the Fourth International Conference in Ocean Engineering (ICOE2018), 2019, 319
IZOLDA V. STUROVA, “Time-dependent response of a heterogeneous elastic plate floating on shallow water of variable depth”, J. Fluid Mech., 637 (2009), 305