基于面元法的舰船不沉性计算方法研究  

Ship unsinkability calculation approach based on panel method

作　　者：袁奕 王涛[1] 郭理想 魏骁 YUAN Yi;WANG Tao;GUO Lixiang;WEI Xiao(China Ship Development and Design Center,Wuhan 430064,China)

机构地区：[1]中国舰船研究设计中心,湖北武汉430064

出　　处：《中国舰船研究》2024年第S02期11-19,共9页Chinese Journal of Ship Research

摘　　要：[目的]针对基于二维切片法的舰船不沉性计算方法存在建模能力有限、复杂船型适用性不足的问题,依托全附体舰船三维模型,提出一种基于面元法的舰船不沉性计算方法。[方法]采用三角形面元离散三维模型,设置舰船和破损舱室面元法线方向相反,使破损舱室处的浮力相互抵消产生浮力损失的效果;采用水线面分割算法,实现任一浮态下湿表面面元匹配;基于高斯公式将排水体积分转化为湿表面面积分,进一步通过面元投影积分方法求解排水体积要素和水线面要素;采用牛顿迭代法计算破损舰船浮态,基于此,开展不沉性评估;以Wigley数值船模型和ONRT裸船模型为例,验证算法的准确性,并针对ONRT全附体船模型开展不沉性评估。[结果]结果表明,复杂形状结构可直接纳入计算域,计算误差仅来源于三维模型离散为面元模型时产生的几何误差,准确性较高。[结论]算例表明,所提方法计算精度可靠、适用性强,具有工程实用价值。[Objective]As the ship unsinkability calculation method based on two-dimensional slicing has such problems as limited modeling ability and insufficient applicability to complex ship types,this study proposes a panel method-based ship unsinkability calculation technique based on a three-dimensional fully-appended ship model.[Methods]Adopting a discrete three-dimensional triangle panel model,the normal directions of the ship panels and damaged compartment are set opposite each other so that their buoyancy cancels each other out and causes buoyancy loss.A watershed transformation algorithm is used to achieve the matching of wetted surface panels in any floating state.Based on the Gaussian formula,the integration of displacement volume is transformed into the integration of wetted surface area,and the displacement volume and water plane elements are further solved through the panel projection integration method.Newton−Raphson method is then used to calculate the floating state of the damaged ship and conduct an unsinkability evaluation.[Results]Taking the Wigley numerical ship model and standard ONR(Office of Naval Research)tumblehome(ONRT)ship model as examples,the accuracy of the algorithm is verified and an unsinkability evaluation is conducted for the ONRT fully-appended ship model.[Conclusion]The calculation example shows that the proposed method has reliable calculation accuracy,strong applicability to complex ship types and practical engineering value.

关 键 词：水面舰船 不沉性 面元法 

分 类 号：U661.2[交通运输工程—船舶及航道工程]