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Chinese Journal of Engineering Design  2006, Vol. 13 Issue (2): 114-115    DOI:
    
New type Newton Iterative Method based on chaos mapping and planar crank-slide mechanism synthesis
 HU  Hao
Department of Mechanical Engineering, Hunan University of Arts and Sciences, Changde 415003, China
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Abstract  Based on the idea of generating the initial points through one dimension chaos mapping, and then taking them as the initial values by mapping them tothe variable interval, a new method based on chaos mapping Newton Iterative to seek the solutions of nonlinear equations is proposed. Additionally, research oncrank-slide mechanism by applying this method is conducted. The results show that this method, a fire-new one for mechanism design, is simple and practical, and can offer multiple selections for practical mechanism design.

Key wordsplanar crank-slide mechanism      chaos mapping      Newton Iteration Method     
Published: 28 April 2006
Cite this article:

HU Hao. New type Newton Iterative Method based on chaos mapping and planar crank-slide mechanism synthesis. Chinese Journal of Engineering Design, 2006, 13(2): 114-115.

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https://www.zjujournals.com/gcsjxb/     OR     https://www.zjujournals.com/gcsjxb/Y2006/V13/I2/114


新型混沌映射牛顿迭代法研究与曲柄滑块机构函数综合

运用一维混沌映射产生初始点,再映射到变量区间,为牛顿迭代初值进行求解非线性方程组,提出了基于混沌映射的牛顿迭代法求解非线性方程组的新方法。对曲柄滑块机构进行了研究,给出了算例。该方法简单、实用,为实际机构的设计提供了多种选择方案,为机构学设计提供了新方法。

关键词: 曲柄滑块机构,  混沌映射,  牛顿迭代法 
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