弹性浮板对水波的衍射与动弯矩分析

Diffraction of surface wave by floating elastic plates and dynamic moments

文章基于水波理论和Mindlin厚板动力学理论,采用Wiener-Hopf方法,分析研究了水面上弹性浮板对水波的衍射与动弯矩分布问题。为确定极点,首先分析求解了有限水深的导波问题。而后将原来混合边值问题的求解归结为求解无穷线性代数方程组的问题。文中将分析计算结果与前人的计算结果及实验数据进行了对比,并对结果进行了分析讨论。最后,分析了结构几何参数和物理参数挠度和动弯矩分布的影响。

Based on theory of water wave and dynamics of Mindlin thick plates,the diffraction of surface wave by a floating elastic plate and dynamic moments are presented using the Wiener-Hopf technique.Firstly,the waveguide in water with finite depth is analyzed to determine those poles.Then the hybrid boundary value problem is reduced to solve an infinite system of linear algebraic equations.The results are compared both with the calculations from others and with experiment data,and those are discussed.Finally,the effects of the geometric and physical parameters on the distributions of deflection and the bending moment in plates are investigated.