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Fitting method for pump complex characteristic curve based on B-spline |
ZHANG Lin, XU Hui, YU Yong-hai |
Hohai University, Nanjing, Jiangsu 210098, China |
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Abstract A fitting method for pump complex characteristic curve with large deflections and non-equidistant data points based on cubic uniform B-spline is presented.New virtual data points are introduced when any spire point is detected in the curve,which is divided into several sections with simple shapes.The optimal knots ordinates and Abscissas within the specified distribution ranges are searched employing sequential optimization method in the least square sense.It is proved in the examples that the new method works well in precisely building the pump test data in wide area into smooth curve without disturbance caused by the random test error.
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Received: 08 August 2013
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[1] 朱心雄,等.自由曲线曲面造型技术[M].北京:科学出版社,2000:32-42[2] 唐平,李金伴,张荣标.基于遗传算法的泵汽蚀试验数据拟合[J].排灌机械,2002,20(1):37-39[3] 张林,于永海,姜晓明.基于B样条的水泵效率特性曲线拟合方法[J].排灌机械,2006,24(3):9-11[4] 李岳生,齐东旭.样条函数方法[M].北京:科学出版社,1979:25-57[5] 黄友谦,李岳生.数值逼近[M].北京:高等教育出版社,1987:76-114[6] 陆润民.计算机图形学教程[M].北京:清华大学出版社,2003:119-124[7] 郭军海.基于最优节点样条逼近的观测数据平滑方法[J].中国空间科学技术,2000(3):43-48[8] 陈宝林.最优化理论与方法[M].北京:清华大学出版社,1989:397-403[9] 刘正英.水泵汽蚀试验曲线的一种拟合方法[J].排灌机械,1996,14(4):29-32[10] 王玉昆,赵林明.拟合水泵汽蚀试验数据的一种新方法[J].中国农村水利水电,1998(6):20-21 |
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