Analytic Solution of Interaction Between Surface Waves and Floating Elastic Plates with Elastic End-Restraints

摘要

Based on the dynamic theories of water waves and Mindlin plates,the analytic solution of interaction between surface waves and two-dimensional floating elastic plates with edge-restraint is constructed by use of the Wiener-Hopf technique.Firstly,without regard for elastic edge restraint,the wave-induced responses of elastic floating plate analyzed by the present method are in good agreement with the results from literature and experimental results.Therefore,it can be shown that the present method is valid.Secondly,three end-restraint cases (i.e.,the left-end elastic restraints,the both-end elastic restraints,and the right-end elastic restraints) are proposed to reduce the vibration of floating plates,in which the spring is used to connect the sea bottom and the floating plate's left (or right) edge.The relations between the spring stiffness and the parameters of wave-induced responses of floating plates are discussed.Moreover,the effective method to reduce the vibration of floating elastic plates can be obtained through comparison.