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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。
In this paper, an improved Newton method based on hyperchaos is proposed to solve all real numerical solutions of nonlinear equations, and the 33th non-planar two-coupled 9-bar Ps truss’s position positive solution problem is solved. Combining the vector method and the complex method, the four constraint equations of the four loops of the mechanism are established. Four variables are added by the positive and cosine trigonometric functions, and four supplementary equations are established. The 8-variable constrained equations of the mechanism are constructed. Combining the hyperchaotic sequence with the improved Newton iteration method, a hyperchaotic discrete system is used to generate the initial point of iteration. A new method of solving Newton iteration method to solve all real number solutions of nonlinear equations is proposed. The position of this mechanism analysis. The calculation examples are given and compared with other methods. The examples show that the method is correct and effective.