Paper Title:
Chaos Nested Intervals Method to Solve Nonlinear Equations and Planar Crank-Slide Mechanism Synthesis
  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.

  Info
Periodical
Edited by
Qi Luo
Pages
1013-1016
DOI
10.4028/www.scientific.net/AMM.55-57.1013
Citation
X. Y. Che, Z. M. He, Q. Y. Liu, Y. X. Luo, "Chaos Nested Intervals Method to Solve Nonlinear Equations and Planar Crank-Slide Mechanism Synthesis", Applied Mechanics and Materials, Vols. 55-57, pp. 1013-1016, 2011
Online since
May 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: You Xin Luo, Qi Yuan Liu, Bin Zeng
Abstract:Many questions in natural science and engineering are transformed into nonlinear equations to be found, Newton iterative method is an...
411
Authors: You Xin Luo, Qi Yuan Liu, Xiao Yi Che
Abstract:Many questions in natural science and engineering are transformed into nonlinear equations to be found. Newton iterative method is an...
416
Authors: Qi Yuan Liu, You Xin Luo, Bin Zeng
Abstract:Many questions in natural science and engineering are transformed into nonlinear equations to be found. Newton iterative method is an...
160
Authors: Qi Yuan Liu, You Xin Luo, Bin Zeng, Zhe Ming He
Abstract:Many questions in natural science and engineering are transformed into nonlinear equations to be found. Newton iterative method is an...
169
Authors: Xiao Yi Che, Qi Yuan Liu, You Xin Luo, Bin Zeng
Abstract:Kinematic analysis is fundamental for the mechanism synthesis. The kinematic analysis of mechanism is attributed to find the solutions of the...
688