航空学报 > 1990, Vol. 11 Issue (7): 309-314

亚音速升力面理论的一种新解法

李震浩   

  1. 中国直升机设计研究所
  • 收稿日期:1989-01-28 修回日期:1900-01-01 出版日期:1990-07-25 发布日期:1990-07-25

A NEW METHOD FOR SUBSONIC LIFTING-SURFACE THEORY Chinese Helicopter Research and Development Institute

Li Zhenhao   

  1. Li Zhenhao
  • Received:1989-01-28 Revised:1900-01-01 Online:1990-07-25 Published:1990-07-25

摘要: 本文提供了亚音速升力面理论的一种新解法,可求解亚音速流中有限翼展机翼的载荷分布。计算中采用传统的弦向级数和展向分条。证明了Mangler二重奇异积分可交换积分次序,从而使积分可解析地求出。对弦向积分的被积函数作多项式分段逼近,可使核函数的表达式成为封闭形式的有限和,导致性态很好的系数矩阵。计算结果与实验及其它方法的结果作了比较,并给出了计算效率。

关键词: 升力面理论, 亚音速流, 数值计算

Abstract: A new method based on lifting-surface theory is presented determining the load distributions on finite wings in subsonic flows. A spanwise strip together with a classical chordwise series are used. By exchanging the order of the Mangier-type doubly singular integral, as justified in this paper, is made in order to make the calculations analytical and simple. A segmented polynomial approximation for the integrand of the chordwise integral is deduced to evaluate the kernal function in a closed form finite-sum manner, resulting a well-behaved coefficient matrix. Aanalytical results are compared with experimental data and other methods; the computational efficiency is demonstrated.

Key words: lifting surface, subsonic flow, numerical calculation