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The Research of Chebyshev Chaos Mapping Method to Mechanism Synthesis

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Abstract:

Many questions in natural science and engineering are 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. The property of chaos serials produced by Chebyshev chaos mappings was analyzed. For the first time, a new method to find all solutions based on utilizing Chebyshev chaos mappings to obtain locate initial points to find all solutions of the nonlinear questions was proposed. The numerical examples in linkage synthesis and approximate synthesis show that the new method is correct and effective.

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Info:

Periodical:

Key Engineering Materials (Volumes 467-469)

Pages:

416-420

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.467-469.416

Citation:

Cite this paper

Online since:

February 2011

Authors:

You Xin Luo, Qi Yuan Liu, Xiao Yi Che

Keywords:

Chebyshev Chaos Mapping, Linkage Mechanism, Linkage Synthesis, Nonlinear Equation

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