基于厚板理论分析深水域中弹性浮板的水波响应

基于线性水波理论和Mindlin厚板动力学理论,采用Wiener-Hopf 方法,研究了不同水深水面上弹性浮板在不同入射波数水波作用下的动力学响应问题。首先推导了无限深水域中弹性浮板水波响应的解析解,并将本文分析计算结果与采用其他方法(经典薄板理论)得到的计算结果进行了对比和分析;其次,采用本文方法研究了大型浮板在三种入射波数的水波作用下动弯矩幅值的分布情况;最后,根据其他文献的方法计算了不同水深(有限水深)情况下浮板的动响应,并与本文的计算结果进行了对比分析。

Wave responses of floating elastic platesin deep water based on thick plates theory

Based on the dynamical theories of water wave and Mindlin thick plates, the dynamical behaviors of a floating elastic plate in water of different depth are presented using the Wiener-Hopf technique for several different incident wave numbers. Firstly, the analytic solutions of wave-induced responses of floating plate for infinite depth case are constructed, thus the comparison between the present results and the results from other results (by classical thin plate theory) are presented and discussed. Secondly, the distributions of the bending moment in plates for three kinds of incident wave numbers are investigated. Finally, the wave-induced of floating plate for different depth cases (finite depth) are calculated by the method used in other literatures, and compared with the present results.