Vladimir Andreyevich Yeroshin (Lomonosov Moscow State University) :


532.5.013.2+534.113 Mathematical methods of identification of hydrodynamic loads at impact on water based on one-dimensional theories of elastic wave propagation in rods

Yeroshin V. A. (Lomonosov Moscow State University), Plyusnin A. V. (Bauman Moscow State Technical University)

doi: 10.18698/2309-3684-2018-3-6794

The problem of longitudinal and transversal oscillations of elastic cylinder generated by high velocity impact of the forward end on the water surface is considered from the point of the identification of hydrodynamic forces by treating optical measuring data of the opposite end motions. The statements of the direct and reverse problems are derived, based on the one-dimensional theories of Saint-Venan and Timoshenko, which provides the hyperbolicity of the governing equations. The results of the direct problem calculations by the finite-difference method are compared with the available experimental traces and show rather accurate qualitative coincidence.

Ерошин В.А., Плюснин А.В. Математические методы идентификации гидродинамических нагрузок при ударе о воду, основанные на одномерных теориях распространения упругих волн в стержнях. Математическое моделирование и численные методы, 2018, № 3, с. 67–94.