Paper Title:
The Research of Chebyshev Chaos Mapping Method to Mechanism Synthesis
  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.

  Info
Periodical
Key Engineering Materials (Volumes 467-469)
Edited by
Dehuai Zeng
Pages
416-420
DOI
10.4028/www.scientific.net/KEM.467-469.416
Citation
Y. X. Luo, Q. Y. Liu, X. Y. Che, "The Research of Chebyshev Chaos Mapping Method to Mechanism Synthesis", Key Engineering Materials, Vols. 467-469, pp. 416-420, 2011
Online since
February 2011
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Price
$32.00
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