机构综合的实根隔离算法研究

机构综合的大多问题都可以转化为非线性方程组全部解的问题。而现有的数值方法由于各自的弱点,使得人们对带有误差的数值方法不能放心,符号计算是精确计算,其特点是数值方法不具有的。研究了基于符号计算的实根隔离算法,给出了算法的步骤,运用了Maple9.0软件开发了计算程序,并对刚体导引四杆机构综合问题进行了计算,求得了全部解。

Real root insulating arithmetic to mechanism synthesis

Most problens of mechanism synthesis are translated into that of findina all solutions of nonlinear equations.As existing numerical value methods have their weakness,this makes people not disburden when these methods os used to find solutions.The symbolic calculating method is exact calculating and all methods of numerical value calculating methods do not possess this kind of characteristic.In this paper,based on symbolic calculating,real roots insulating arithmetic is research.The process of arithmetic is given.The program is achieved with Maple9.0 software.As an example,the four linkage synthesis of plane rigid guidance is studied.All solutions are found.