快速多极子技术在高阶边界元法计算弹性浮体问题中的应用

Application of fast multipole technology to the computation of elastic floating bodies with higher-order boundary element method

随着人类社会对自然资源的需求不断增加,陆地资源逐渐枯竭,海上蕴藏着丰富的石油、天然气、可燃冰等战略资源,是当前世界各国的战略开发重点。由于海上作业平台和舰船等弹性浮体受到海浪、洋流等作用力,导致其结构发生破坏和失效,因此,研究浮体在海上的受力及载荷有重要作用。本文充分结合有限元分析技术和水弹性理论,重点研究了弹性浮体力学分析中,一种快速多极子技术在高阶边界元法的应用问题,对提高海上浮体的水动力特性分析有重要的作用。

with the increasing demand for natural resources in human society, the land resources are gradually exhausted, and the sea is rich in strategic resources such as oil, natural gas and combustible ice. It is the key point of strategic development of all countries in the world. Because of the force of sea waves and ocean currents, the structure of the floating body, such as offshore operating platform and ship, will cause damage and failure. Therefore, it is important to study the force and load of the floating body in the sea. Combined with the finite element analysis and the theory of water elasticity,this paper focuses on the study of the mechanical analysis of elastic floating bodies. The application of a fast multipole technique to the high order boundary element method is important for the analysis of the hydrodynamic characteristics of the floating body.