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Coupled hydrodynamic and structural analysis of compressible jet impact onto elastic panels
Institution:1. Lavrentyev Institute of Hydrodynamics, SB RAS, 630090 Novosibirsk, Russia;2. Department of Mechanical Engineering, University College London, Torrington Palace, London WC1E 7JE, UK;1. DEIM - School of Engineering, University of Tuscia, 01100 Viterbo, Italy;2. Department of Mechanical and Aerospace Engineering, New York University Tandon School of Engineering, Brooklyn, NY 11201, USA;1. Department of Mechanical and Aerospace Engineering, New York University Polytechnic School of Engineering, 6 MetroTech Center, Brooklyn, NY 11201, USA;2. Università degli Studi Niccolò Cusano, Via Don Carlo Gnocchi 3, 00166 Rome, Italy;1. KTH Royal Institute of Technology, Teknikringen 8, SE-100 44 Stockholm, Sweden;2. Centre for Advanced Composite Materials, Department of Mechanical Engineering, University of Auckland, Auckland, New Zealand
Abstract:This paper is concerned with the initial stage of a compressible liquid jet impact onto an elastic plate. The fluid flow is governed by the linear wave equation, while the response of the plate is governed by the classical linear dynamical plate equation. The coupling between the fluid flow and the plate deflection is taken into account through the dynamic and kinematic conditions imposed on the wetted part of the plate. The problem is solved numerically by the normal mode method. The principal coordinates of the hydrodynamic pressure and plate deflections satisfy a system of ordinary differential and integral equations. A time stepping method based on the Runge–Kutta scheme is used for the numerical integration of the system. Calculations are performed for two-dimensional, axisymmetric and three-dimensional jet impacts onto an elastic plate. The effects of the impact conditions and the elastic properties of the plate on the magnitudes of the elastic deflections and bending stresses are analysed.
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