Abstract:
The unsteady behavior of an elastic beam composed of hinged homogeneous sections, which freely floats on the surface of an ideal incompressible fluid, is studied within the framework of the linear shallow water theory. The unsteady behavior of the beam is due to incidence of a localized surface wave or initial deformation. Beam deflection is sought in the form of an expansion with respect to eigenfunctions of oscillations in vacuum with time-dependent amplitudes. The problem is reduced to solving an infinite system of ordinary differential equations for unknown amplitudes. The beam behavior with different actions of the medium and hinge positions is studied.
Citation:
I. V. Sturova, “Unsteady behavior of an elastic articulated beam floating on shallow water”, Prikl. Mekh. Tekh. Fiz., 50:4 (2009), 54–65; J. Appl. Mech. Tech. Phys., 50:4 (2009), 589–598
\Bibitem{Stu09}
\by I.~V.~Sturova
\paper Unsteady behavior of an elastic articulated beam floating on shallow water
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 4
\pages 54--65
\mathnet{http://mi.mathnet.ru/pmtf1766}
\elib{https://elibrary.ru/item.asp?id=12846449}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 4
\pages 589--598
\crossref{https://doi.org/10.1007/s10808-009-0080-4}
Linking options:
https://www.mathnet.ru/eng/pmtf1766
https://www.mathnet.ru/eng/pmtf/v50/i4/p54
This publication is cited in the following 6 articles:
Dona Alex, R. Ashok, N. Balasubramani, “Wave interaction with a forced floating elastic beam in the presence of porous barriers”, Ocean Engineering, 301 (2024), 117561
K. M. Praveen, V. Venkateswarlu, D. Karmakar, “Hydroelastic response of floating elastic plate in the presence of vertical porous barriers”, Ships and Offshore Structures, 17:2 (2022), 457
H. Behera, Siluvai Antony Selvan, Vinay Kumar Gupta, Springer Proceedings in Mathematics & Statistics, 308, Mathematical Modelling and Scientific Computing with Applications, 2020, 85
K. M. Praveen, D. Karmakar, C. Guedes Soares, “Hydroelastic analysis of periodic arrays of multiple articulated floating elastic plate”, Ships and Offshore Structures, 15:3 (2020), 280
Praveen K.M., D. Karmakar, C. Guedes Soares, “Hydroelastic analysis of articulated floating elastic plate based on Timoshenko–Mindlin plate theory”, Ships and Offshore Structures, 13:sup1 (2018), 287
R. Mondal, S. Mandal, T. Sahoo, “Surface gravity wave interaction with circular flexible structures”, Ocean Engineering, 88 (2014), 446