| 混沌理论与平面连杆机构综合 |
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| 引用本文： | 谢进,陈永.混沌理论与平面连杆机构综合[J].机械科学与技术(西安),2000,19(4):524-526. |
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| 作者姓名： | 谢进 陈永 |
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| 作者单位： | 谢进（西南交通大学，成都 610031）;陈永（西南交通大学，成都 610031） |
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| 基金项目： | 国家自然科学基金项目资助 |
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| 摘 要： | 对刚体导引四杆机构综合问题中产生的非线性方程的求解问题进行了研究。从非线性方程的混沌区中取足够密集的点作为初始点 ,用牛顿迭代法就可以求出方程的全部解。研究结果表明 ,混沌区总是在方程所表示的函数的极值点的领域内 ,并且在函数的单调性发生变化的一侧。基于这一发现 ,提出了非线性方程的一种新解法
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| 关 键 词： | 混沌理论 刚体导引 平面机构 |
| 文章编号： | 1003-8728(2000)04-0524-03 |
| 修稿时间： | 1999-06-07 |
Application of Chaos Theory to Synthesis of Plane Rigid Guidance |
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| XIE Jin
,CHEN Yong.Application of Chaos Theory to Synthesis of Plane Rigid Guidance[J].Mechanical Science and Technology,2000,19(4):524-526. |
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| Authors: | XIE Jin CHEN Yong |
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| Affiliation: | XIE Jin
,CHEN Yong
;(Southwest Jiaotong University, Chengdu 610031) |
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| Abstract: | This paper focuses on the method of solving the non linear equation arising from the synthesis of plane rigid guidance. With the points in the chaotic zones as the initial points, all of the solutions of the equation can be found by Newton Raphson method. It is discovered that the chaotic zones are in the neighborhood of extremals of the function, and in the directions in which its monotonicity changes. Based on this discovery, a new method has been proposed. |
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| Keywords: | Chaos theory Rigid guidance Plane mechanism |
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