一种求解W(s)=0的有效算法

An Efficient Method of Solving Equation W(s) = 0

复变函数的幅角原理[1]给出了方程W（s）=0的根存在的充分和必要条件，但如何有效地确定这些根，还需要进一步探索。本文给出一种在复域解决这一问题的数值方法─—正交搜索法。该方法利用解析函数保角映射的特性，通过沿复变量s的实部和虚部交替搜索，逐步逼近和达到所求方程的根．该方法不需计算任何导数，直观、简便，且能在计算机上自动完成。应用该方法解决某工程问题，获得了满意的结果．

The author has introduced a new effective method-Orthogonal seaxching technique which is used for solving nonlinear equation W (s) = 0 directiy within the complex frequency domain. This method starts from conforrnal mapping of analytic function and alternats between red and imaginaty axes of complex S plane. Since the mehed has no constraints but beng analghc for W (s), it could apply to a large catalog of mathernatical problem that zero ponts of analghc function are requried. In addition, it can be easily executed on computer. The author utilized the mehed to accomplish strucfural vibration analysis of an aircraft and obtained successful results.