The explicit expression of the G3 basis function is presented in this paper. It is derived by constructing the conversion matrix between G3 basis function and Brzier representation. After the matrix decomposition, equ...The explicit expression of the G3 basis function is presented in this paper. It is derived by constructing the conversion matrix between G3 basis function and Brzier representation. After the matrix decomposition, equations for constructing G3 splines can be presented independently of geometric shape parameters＇ values. It makes the equation＇s solving easier. It is also known that the general form of the G3spline basis function is given in the first time. Its geometric construction method is presented.展开更多
以地层等高线和地质柱状图为建模基础信息,采用曲面样条函数进行插值计算地质曲面,并对A u toCAD进行二次开发,将二维抽象的等高线信息以三维可视化的图形效果在A u toCAD的图形窗口中直观形象地表示出来,为开采和规划决策提供依据。此...以地层等高线和地质柱状图为建模基础信息,采用曲面样条函数进行插值计算地质曲面,并对A u toCAD进行二次开发,将二维抽象的等高线信息以三维可视化的图形效果在A u toCAD的图形窗口中直观形象地表示出来,为开采和规划决策提供依据。此方法可使煤矿主采区域、城市活断层探测以三维地层显示,对煤矿行业,地震活断层研究有一定的参考价值。展开更多
Flatness and profile are important quality indexes of strip. Combining the influence function method to solve the elastic deformation of roll system with the variational method to solve the lateral flow of metal, the ...Flatness and profile are important quality indexes of strip. Combining the influence function method to solve the elastic deformation of roll system with the variational method to solve the lateral flow of metal, the flatness and profile of the strip during cold continuous rolling were simulated. The B 3 spline function was used to analogize the lateral distribution of strip thickness. The transverse distributions of the exit thickness and the front tension stress for each pass were obtained. Compared with the measured results, it is proved that using the spline function to analogize the lateral distribution of strip thickness can improve the calculation accuracy of flatness and profile largely.展开更多
基金Supported by National Natural Science Foundation of China(Grants 61100129)Open Program of Key Laboratory of Intelligent Information Processing,Institute of Computing Technology,Chinese Academy of Sciences(IIP2014-7)
文摘The explicit expression of the G3 basis function is presented in this paper. It is derived by constructing the conversion matrix between G3 basis function and Brzier representation. After the matrix decomposition, equations for constructing G3 splines can be presented independently of geometric shape parameters＇ values. It makes the equation＇s solving easier. It is also known that the general form of the G3spline basis function is given in the first time. Its geometric construction method is presented.
文摘以地层等高线和地质柱状图为建模基础信息,采用曲面样条函数进行插值计算地质曲面,并对A u toCAD进行二次开发,将二维抽象的等高线信息以三维可视化的图形效果在A u toCAD的图形窗口中直观形象地表示出来,为开采和规划决策提供依据。此方法可使煤矿主采区域、城市活断层探测以三维地层显示,对煤矿行业,地震活断层研究有一定的参考价值。
基金Item Sponsored by National Natural Science Foundation of China(50275130)Provincial Natural Science Foundation of Hebei of China(E200400223)
文摘Flatness and profile are important quality indexes of strip. Combining the influence function method to solve the elastic deformation of roll system with the variational method to solve the lateral flow of metal, the flatness and profile of the strip during cold continuous rolling were simulated. The B 3 spline function was used to analogize the lateral distribution of strip thickness. The transverse distributions of the exit thickness and the front tension stress for each pass were obtained. Compared with the measured results, it is proved that using the spline function to analogize the lateral distribution of strip thickness can improve the calculation accuracy of flatness and profile largely.
