摘要
提出非线性方程组全部实数解求解的超混沌改进牛顿法,完成了第33种非平面两耦合9杆巴氏桁架的位置正解问题。结合矢量法和复数法建立该机构4回路的4个约束方程,利用正、余弦三角函数关系增设4变量,建立4个补充方程,从而构造了该机构位置分析的8变量约束方程组。将超混沌序列和改进牛顿迭代法结合,应用超混沌离散系统产生迭代初始点,提出了应用超混沌序列的改进牛顿迭代法求解非线性方程组全部实数解的新方法,完成了该机构的位置分析。给出计算实例,并与其他方法进行了比较,实例表明该方法的正确性和有效性。
The hyperchaotic improved Newton method for finding all real solutions of nonlinear equation set was proposed and the position forward solution problem on the 33rd nonplane 2cou pled ninelink Barranov truss was solved. Four constrained equa- tions were established by combining vector method with complex numbers according to four loops of the mechanism and four supple ment equations were also established by increasing four variables and the relation of sine and cosine function. The established eight equations are that of forward displacement analysis of the mecha nism. Combining improved Newton iterative method with hyper-cha- otie sequences, hyperchaotie improved Newton iterative method based on utilizing hyperchaotic discrete system to obtain local ini tial points to find all real solutions of the nonlinear questions was proposed. The numerical example was given. Comparison was also done with other finding solution method. The results show that all real solutions have been quickly obtained, and it proves the correct ness and validity of the proposed method.
出处
《机械设计》
CSCD
北大核心
2012年第2期20-24,共5页
Journal of Machine Design
基金
湖南省"十二五"重点建设学科(机械设计及理论)资助项目(湘教通2006180)
国家自然科学基金资助项目(51075144)
关键词
9杆巴氏桁架
位置正解
超混沌序列
改进牛顿法
ninelink Barranov truss
forward displacement
hyper-ehaotic sequences
improved Newton iterative method
