高技术通讯2011，Vol.21Issue(3)：328-331,4.DOI:10.3772/j.issn.1002-0470.2011.03.018
二耦合度9杆巴氏桁架位置分析的超混沌数学规划法
A hyper-chaotic mathematical programming method for displacement analysis of 2-coupling-degree nine-link Barranov truss
摘要
Abstract
A hyper-chaotic mathematical programming method for finding all real solutions of nonlinear equations was proposed and the forward displacement analysis on the 30th 2-coupling-degree nine-link Barranov truss was completed. Four constrained equations were established by using the vector method with the complex number method according to four loops of the mechanism, and four supplement equations were also established by increasing four variables and the relation of sine function and cosine function. The established eight equations are necessary to forward displacement analysis of the mechanism. The hyper-chaotic mathematical programming method was created on the basis of combining the mathematical programming method with hyper-chaotic sequences and utilizing two dimensional discrete hyper-chaotic systems to obtain initial points to find all real solutions of the nonlinear questions. A numerical example of forward displacement analysis was given. The result proves the correctness and validity of the proposed method.关键词
9杆巴氏桁架/位置正解/二维离散超混沌系统/超混沌序列/数学规划法Key words
nine-link Barranov truss/forward displacement/ two dimensional discrete hyper-chaotic system/ hyperchaotic sequences/ mathematical programming method引用本文复制引用
罗佑新..二耦合度9杆巴氏桁架位置分析的超混沌数学规划法[J].高技术通讯,2011,21(3):328-331,4.基金项目
国家自然科学基金(51075144),湖南省"十一五"重点建设学科(机械设计及理论)(湘教通2006180),湖南省自然科学基金(07JJ3093),湖南省普通高校学科带头人(湘教通[2008]315))和湖南科技厅计划项日(2009GK3058)资助项目. （51075144）
