Hydroelastic interaction between water waves and thin elastic plate floating on three-layer fluid  

作　　者：Qingrui MENG Dongqiang LU 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University Shanghai 200072,China [2]Shanghai Key Laboratory of Mechanics in Energy Engineering,Shanghai University,Shanghai 200072,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2017年第4期567-584,共18页应用数学和力学（英文版）

基　　金：Project supported by the National Basic Research Program of China(973 Programm)(No.2014CB046203);the National Natural Science Foundation of China(No.11472166);the Natural Science Foundation of Shanghai(No.14ZR1416200)

摘　　要：The wave-induced hydroelastic responses of a thin elastic plate floating on a three-layer fluid, under the assumption of linear potential flow, are investigated for two-dimensional cases. The effect of the lateral stretching or compressive stress is taken into account for plates of either semi-infinite or finite length. An explicit expression for the dispersion relation of the flexural-gravity wave in a three-layer fluid is analytically deduced. The equations for the velocity potential and the wave elevations are solved with the method of matched eigenfunction expansions. To simplify the calculation on the unknown expansion coefficients, a new inner product with orthogonality is proposed for the three-layer fluid, in which the vertical eigenfunctions in the open-water region are involved. The accuracy of the numerical results is checked with an energy conservation equation, representing the energy flux relation among three incident wave modes and the elastic plate. The effects of the lateral stresses on the hydroelastic responses are discussed in detail.The wave-induced hydroelastic responses of a thin elastic plate floating on a three-layer fluid, under the assumption of linear potential flow, are investigated for two-dimensional cases. The effect of the lateral stretching or compressive stress is taken into account for plates of either semi-infinite or finite length. An explicit expression for the dispersion relation of the flexural-gravity wave in a three-layer fluid is analytically deduced. The equations for the velocity potential and the wave elevations are solved with the method of matched eigenfunction expansions. To simplify the calculation on the unknown expansion coefficients, a new inner product with orthogonality is proposed for the three-layer fluid, in which the vertical eigenfunctions in the open-water region are involved. The accuracy of the numerical results is checked with an energy conservation equation, representing the energy flux relation among three incident wave modes and the elastic plate. The effects of the lateral stresses on the hydroelastic responses are discussed in detail.

关 键 词：HYDROELASTICITY lateral stress matched eigenfunction expansion orthogo- nality very large floating structure （VLFS） 

分 类 号：O353.4[理学—流体力学]