基于径向基函数的桩柱波浪力计算和动力响应分析  

Calculation of wave force and dynamic response analysis of offshore platforms based on the radial basis function

作　　者：束仲祎 徐绩青[2,3] 王登婷 Shu Zhongyi;Xu Jiqing;Wang Dengting(Nanjing Hydraulic Research Institute,Nanjing 210024,China;College of River and Ocean Engineering,Chongqing Jiaotong University,Chongqing 400074,China;Key Laboratory of Water Resources and Water Transport Engineering,Ministry of Education,Technical Research Center for National Inland Waterway Regulation Engineering,Chongqing 400074,China)

机构地区：[1]南京水利科学研究院,江苏南京210024 [2]重庆交通大学河海学院,重庆400074 [3]国家内河航道整治工程技术研究中心水利水运工程教育部重点实验室,重庆400074

出　　处：《海洋学报》2024年第12期79-86,共8页

基　　金：重庆市教委科技研究项目(KJ100417);福建省交通运输科技项目(JC202311)。

摘　　要：对于细长杆件上的受力,工程上大多是通过Morison方程来计算波浪荷载。由于以往求解波浪力的Morison方程大部分都是简化方程,将桩体假设为刚体,没有考虑到桩体的弹性变形。基于径向基函数这一无网格方法,将考虑了桩体弹性变形的Morison方程和动力平衡方程联立求解,得到单桩在波浪荷载作用下的波浪力和动力响应,并将其与规范方法和以往的文献方法作对比,验证了此方法的准确性。将此方法应用于实际工程案例,可得到最不利工况下工作平台的动力响应。径向基函数计算简便,易于掌握,可将其应用于实际工程中,为以后的海上结构物计算提供了一个新的方向。In engineering practice,the Morison equation is commonly used to calculate wave loads on slender structures.Traditionally,the Morison equation for wave force calculation is often simplified,assuming the pile as a rigid body and neglecting the elastic deformation of the pile.By employing the Radial Basis Function(RBF),a meshfree method,this study simultaneously solves the Morison equation,which considers pile elastic deformation,and the dynamic balance equation.This approach obtains the wave force and dynamic response of a single pile under wave load,and compares the results with those from standard methods and previous literature to validate its accuracy.Applying this method to actual engineering cases reveals the dynamic response of the working platform under the most unfavorable conditions.The RBF method is computationally straightforward and easy to master,making it suitable for practical engineering applications and providing a new direction for the calculation of offshore structures in the future.

关 键 词：径向基函数 非线性方程 Morison方程 动力平衡方程 急动度 

分 类 号：U656.6[交通运输工程—港口、海岸及近海工程]