Unsteady behavior of an elastic articulated beam floating on shallow water |
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Authors: | I V Sturova |
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Institution: | (1) Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia |
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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.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 4, pp. 54–65, July–August, 2009. |
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Keywords: | hydroelasticity floating articulated plate shallow water unsteady response |
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