Forward Displacement Analysis of a Kind of Nine-link Barranov Truss Based on Hyper-chaotic Newton Downhill Method
The hyper-chaotic Newton downhill method finding all real solutions of nonlinear equations was proposed and the forward displacement analysis on the 31th 2coupled-degree nine-link Barranov truss was completed. Four constrained equations were established by vector method with complex numbers according to four loops of the mechanism and four supplement 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 mechanism. Combining Newton downhill method with hyper-chaotic sequences, hyperchaotic Newton-downhill method based on utilizing hyperchaotic discrete system to obtain locate initial 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 result shows that all real solutions have been quickly obtained, and it proves the correctness and validity of the proposed method.
Nine-link Barranov truss forward displacement hyper-chaotic sequences Newton downhill method
Zheming HE Youxin LUO Qiyuan LIU
College of Mechanical Engineering Hunan University of Arts and Science Changde,415000,P.R.China
国际会议
南京
英文
476-481
2010-08-26（万方平台首次上网日期，不代表论文的发表时间）