English

应用科学学报 ›› 1990, Vol. 8 ›› Issue (1): 88-90.

• 研究简报 • 上一篇    下一篇

分段坐标旋转光滑样条方法的原理及应用

王少平, 姜培正, 谷传纲, 苗永森   

  1. 西安交通大学
  • 收稿日期:1987-10-12 修回日期:1988-09-17 出版日期:1990-03-31 发布日期:1990-03-31

PRINCIPLE AND APPLICATION OF SMOOTH SPLINE METHOD USING SECTION-COORDINATE ROTATION

WANG SHAOPING, JIANG PEIZHENG, GU CHUANGANG, MIAO YONGMIAO   

  1. Xi'an Jiaotong University
  • Received:1987-10-12 Revised:1988-09-17 Online:1990-03-31 Published:1990-03-31

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摘要： 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.

Abstract: A new method for solving the large deflection curve by using the section-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.