The Research of Equal Probability Newton Iterative Method to Mechanism Synthesis & Approximate 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. For the first time, utilizing an equal probability random number to produce initial value, a new method to find all solutions based on utilizing equal probability random number to obtain locate initial points to find all solutions of the nonlinear equations was proposed. The numerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.

• Periodical: Applied Mechanics and Materials (Volume 364)
• Pages: 24-27
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.364.24
• Online since: August 2013
• Authors: Xiao Yi Che, You Xin Luo, Ling Fang Li
• Keywords: Linkage Mechanism, Nonlinear Equations, Probability, Random Number

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