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Chaos Nested Intervals Method to Solve Nonlinear Equations and Planar Crank-Slide Mechanism Synthesis

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Abstract:

The problem of planar crank-slide mechanism synthesis is transformed into nonlinear equations to be found, Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. For the first time, based on the study of statistic property of Logistic mapping, a new method to find all solutions of the nonlinear equations based on utilizing chaos nested intervals of Logistic mapping to obtain locate initial points is proposed. The numerical example shows that the method is effective. This provides a simple realization method for mechanics design.

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Periodical:

Applied Mechanics and Materials (Volumes 55-57)

Pages:

1013-1016

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.55-57.1013

Citation:

Cite this paper

Online since:

May 2011

Authors:

Xiao Yi Che, Zhe Ming He, Qi Yuan Liu, You Xin Luo

Keywords:

Chaos Mapping, Logistic Mapping, Nested Intervals, Planar Crank-Slider Mechanism

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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References

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