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分段坐标旋转光滑样条方法的原理及应用
PRINCIPLE AND APPLICATION OF SMOOTH SPLINE METHOD USING SECTION-COORDINATE ROTATION
【摘要】 <正> 本文将所要求解的曲线分段处理.根据各段挠度的不同.采取不同的坐标旋转,使原来的大挠度曲线化为不同坐标系中的小挠度曲线段.各坐标系中的小挠度曲线段分别采用一般样条方法求解,然后分别交换到原坐标系中,各曲线段间采用二阶光滑连接.设原坐标系{0,x,y}中的曲线为y=f(x),原坐标系绕坐标原点旋转θ角后原曲线变为(?)=F((?)).因坐标系的旋转属正交变换并不改变曲线的曲率,由此得
【Abstract】 A new method for solving the large deflection curve by using the geetion-coordinate rotation approach is presented in this paper. The present method in suitable for derivation, interpolation and integration of enclosed curves and unenclosed curves with both y’>>1 and y’<<-1.The method has been applied to the design of three-dimensional impellers and the smooth treatment of the indicator diagram of the internal combustion engine. Results show that the present method is satisfactory.
- 【文献出处】 应用科学学报 ,Journal of Applied Sciences , 编辑部邮箱 ,1990年01期
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