座底式非圆形截面立柱线性波浪速度势解析方法研究与应用  

Research and application of analytical method for linear wave velocity potential of ground-mounted non-circular section column

作　　者：范会渠 许莲[2] 缪泉明[1] FAN Hui-qu;XU Lian;MIAO Quan-ming(China Ship Scientific Research Center,Wuxi,Jiangsu 214082,China;Shanghai Jiao Tong University,Shanghai 200240,Chian)

机构地区：[1]中国船舶科学研究中心,江苏无锡214082 [2]上海交通大学,上海200240

出　　处：《水动力学研究与进展（A辑）》2019年第5期600-611,共12页Chinese Journal of Hydrodynamics

摘　　要：该文针对线性波浪绕射问题,结合保角变换级数展开,系统推导了任意截面绕射解析方程。在圆截面Helmholtz方程基础上扩展了非圆形截面的解析分析方法,拓展了经典柱Bessel函数,并系统探讨了该扩展函数解的分类与应用。基于该绕射解析分析法,应用于座底式立柱载荷分析,形成了有别于边界元方法的解析分析方法。通过海洋波浪绕射算例对该文提出的方法做了对比验证,确认了其适用性。该方法作为基础性的数学物理方法,可应用于声学、电磁场等其他领域,有助于从理论上了解柱的波反射现象的数学特征。For the linear wave diffraction problem,combined with the conformal mapping series expansion,the analytical equations of arbitrary cross-section diffraction problem are deduced systematically.Based on the Helmholtz equation of circular section,the analytical analysis method of non-circular cross section is extended,the classical Bessel function of circular column is extended,and the classification and application of the solution of the extension function are discussed.With the proposed diffraction analysis method,it is applied to the load analysis of the ground-mounted column,and an analytical analysis method different from the boundary element method is formed.The method proposed in this paper is verified by the ocean wave diffraction example,and its applicability is confirmed.As a basic mathematical physics method,this method can also be applied to other fields such as acoustics and electromagnetic fields,which helps to understand the mathematical characteristics of the wavereflection phenomenon of the column theoretically.

关 键 词：波浪绕射 保角变换 BESSEL函数 波浪载荷 

分 类 号：O302[理学—力学]