摘要
本文提出一种在复域直接求解超越方程W(s)=0的新方法——正交搜索法,它利用解析函数的保角映射,通过沿复变量s的实部和虚部交替搜索,逐步达到所求方程的根。该方法不需计算任何导数,直观、简便,且能在计算机上执行。应用在飞机结构振动分析问题,获得了满意的结果。
In this paper, author has proposed a new method of solving transcendental equation W(s)=0 within complex region——Orthogonal search method. This method starts from conformal mapping of analytic function and alternates between real and imaginary axes of complex Splane. In addition, it can be executed on computer. The author applied the method, to structural vibration analysis of an aircratf and obtained successful results.
关键词
超越方程
解析函数
保角映射
正交搜索
transcendental equation
analytic function
conformal mapping
orthogonal search
