| 数学船型中的超越方程组求解 |
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| 引用本文： | 唐晓,齐翔,齐欢.数学船型中的超越方程组求解[J].数学的实践与认识,2017(7):183-191. |
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| 作者姓名： | 唐晓 齐翔 齐欢 |
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| 作者单位： | 1. 空军预警学院 预警情报系,湖北 武汉,430012;2. 中国舰船研究设计中心,湖北 武汉,430064;3. 华中科技大学 自动化学院,湖北 武汉,430074 |
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| 摘 要： | 数学船型是船舶型线的数学表示,在缺乏原型船的条件下可自动生成船舶型线,从而实现数字化设计,满足总体概要设计与虚拟采办的要求.数学船型归为一类特殊的超越方程组.利用分离变量与分层搜索技术,求解超越方程组,并以椭圆形潜艇的型线设计为例,验证了方法的有效性.
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| 关 键 词： | 数学船型 超越方程组 分离变量 分层搜索 椭圆型潜艇设计 |
Solving the Transcendental Equations in Mathematical Ship Type |
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| TANG Xiao,QI Xiang,QI Huan.Solving the Transcendental Equations in Mathematical Ship Type[J].Mathematics in Practice and Theory,2017(7):183-191. |
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| Authors: | TANG Xiao QI Xiang QI Huan |
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| Abstract: | Mathematical ship form is a representation of ship type.It can be used to generate the ship lines automatically in the absence of a prototype of the ship So this method can be used to realize the digital design,to meet the requirements of the overall profile design and virtual acquisition.One of keys for mathematical form of ship is to solve a special kind of transcendental equations.The above equations is solved by separation of variables and hierarchical search technology in this paper.The effectiveness of the method was verified by an example of elliptic type line of submarine design. |
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| Keywords: | mathematical form of ship transcendental equations separation of variables hierarchical search elliptic type line of submarine design |
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