机构综合的多实根隔离算法研究

All real roots Insulating arithmetic to mechanism synthesis

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多实根隔离算法,运用Maple10.0软件开发了计算程序,该方法有效地应用近似因式分解,编程简单、分析直观、结果可靠。对四杆机构综合问题进行了计算,求得了全部解。

Most problems of mechanism synthesis are translated into that all solutions of nonlinear equations. As existing numerical value methods have their weakness, this makes people not disburden when these methods is 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 calc ulating, many real roots ins ulating arithmetic is research. The program is achieved with MaplelO.O sofiware and by rational transform, approximate factorization was effectively used. This method is simple in programming, the analysis is intuitionistic and the results are credible. As an example, the plane four-linkage synthesis is studied. All solutions are found.