中国舰船研究2024，Vol.19Issue(3)：224-233,10.DOI:10.19693/j.issn.1673-3185.03419
环形螺旋桨几何形状的数学表达方法
Mathematical expression method for geometric shape of toroidal propeller
摘要
Abstract
[Objectives]The toroidal propeller can effectively reduce tip vortex leakage due to its unique shape,which is beneficial for reducing hydrodynamic noise and improving propulsion efficiency.However,its complex shape also makes it challenging to model its geometric shape using conventional mathematical ex-pression methods.Therefore,it is necessary to study the mathematical expression of the toroidal propeller.[Methods]First,the structural characteristics and advantages of the toroidal propeller are introduced in de-tail.Next,by referring to the mathematical expression of conventional propeller geometry,geometric paramet-ers such as axis span,lateral angle,roll angle and vertical angle are introduced,and a detailed 3D coordinate formula for the toroidal propeller is derived by distributing the geometric parameters in the axis span direction,thereby establishing the mathematical expression method for toroidal propellers.Finally,taking the offset of a certain toroidal propeller as an example,the feasibility of the proposed mathematical expression method for toroidal propellers is verified.[Results]The results show that the proposed method can smoothly establish the geometric shape of a toroidal propeller.[Conclusions]The proposed method can facilitate the rapid 3D modeling of toroidal propellers,laying a solid foundation for further research on the physical characteristics and scientific problems associated with toroidal propellers.关键词
型值参数/数学表达/参考线/几何外形/环形螺旋桨Key words
offset parameter/mathematical expression/reference line/geometric shape/toroidal propeller分类
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叶礼裕,王超,孙聪,郭春雨..环形螺旋桨几何形状的数学表达方法[J].中国舰船研究,2024,19(3):224-233,10.基金项目
国家自然科学基金资助项目(52171300) （52171300）
