Meshed Chaos Mapping-Based Newton Iteration Method of Mechanism Synthesis


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Kinematic analysis is fundamental for the mechanism synthesis. The kinematic analysis of mechanism is attributed to find the solutions of the nonlinear equations and this process is very difficult. 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, a new method based on utilizing meshed chaos mapping method 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 method is correct and effective.



Edited by:

Qi Luo




X. Y. Che et al., "Meshed Chaos Mapping-Based Newton Iteration Method of Mechanism Synthesis", Applied Mechanics and Materials, Vols. 55-57, pp. 688-691, 2011

Online since:

May 2011




[1] J. Xie and Y. Chen: China Mechanical Engineering, Vol. 13, No. 7 (2002), p.608.

[2] L.T. Zhang and X.H. Dong: Machine Tool & Hydraulics, No. 1 (2003), p.165.

[3] Y.X. Luo: Machine Design, Vol. 20, No. 7 (2003), p.27.

[4] Y.X. Luo and D.X. Li: J. of Chinese Engineering Design, 2003, Vol. 10, No. 2 (2003), p.95.

[5] J.L. Song and C. Xu: Chinese J. of Engineering mathematics, Vol. 21, No. 3 (2004), p.429.

[6] A.X. Liu and T.L. Yang: Dynamic Design of Mechanical System (China Petrochemical Press, Beijing, 1999).

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