摘要
利用近似理论，提出船型曲线的带有形状因子的指数函数近似，进而利用设计要求中的排水量和浮心纵坐标，构造超越方程组．通过求解形状因子，得到船体型线的数学表达，获得满足静水性条件的初始船型，从而实现舰船的全参数化设计．技术利用舰船主尺度获得舰船初始船型，有助于舰船的概要设计和利用多学科设计优化技术．实例验证了方法的有效性．
Ship type curves approximate with exponential functions with the shape factor in this paper. The design requirements of displacement and vertical coordinates of floatation, structure transcendenta equations. By solving the shape factor, get the mathematical expression of hull lines to obtain the initial form meet the static water conditions. So as to realize the full parametric design of ships and help ship profile design and use to multidisciplinary design optimization techniques. The validity of the method is verified by the example.
作者
齐翔
唐晓
齐欢
QI Xiang1, TANG Xiao 2, QI Huan3,4(1. China Shipbuilding Industry Corporation 701 Institute, Wuhan 430064, China ;2. Early Warming Institute of air Force, Wuhan 430012, China;3. Huazhong University of Since and Technology, Wuhan 430074, China;4. Wuchang Shouyi University, Wuhan 430064, Chin)
出处
《数学的实践与认识》
北大核心
2018年第6期180-187,共8页
Mathematics in Practice and Theory
关键词
型线近似
超越方程组
形状因子
数学船型
全参数化船型设计
hull form approximation
transcendental equations
shape factor
mathematical hull form
full parameterized ship type design
