On the Homotopy Iteration Method and Its
Application in the Mechanism Problems

LILi; ZHANGJian; CHEN Yong

Volume 13 Issue 1

Feb. 2000

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Article Contents

Journal of Southwest Jiaotong University > 2000 > 13(1): 57-60.

LILi, ZHANGJian, CHEN Yong. On the Homotopy Iteration Method and ItsApplication in the Mechanism Problems[J]. Journal of Southwest Jiaotong University, 2000, 13(1): 57-60.

Citation:

LILi, ZHANGJian, CHEN Yong. On the Homotopy Iteration Method and Its Application in the Mechanism Problems[J]. Journal of Southwest Jiaotong University, 2000, 13(1): 57-60.

LILi, ZHANGJian, CHEN Yong. On the Homotopy Iteration Method and ItsApplication in the Mechanism Problems[J]. Journal of Southwest Jiaotong University, 2000, 13(1): 57-60.

Citation:

LILi, ZHANGJian, CHEN Yong. On the Homotopy Iteration Method and Its Application in the Mechanism Problems[J]. Journal of Southwest Jiaotong University, 2000, 13(1): 57-60.

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On the Homotopy Iteration Method and Its Application in the Mechanism Problems

Publish Date: 25 Feb 2000

Abstract

Abstract

Based on the analysis ofthe zero set characteristics ofthe nonlinear polynomial mappinghomotopy function, a homotopy iteration method with an improved homotopy tracking scheme is proposed in this paper, and the feasibility and reliability of the homotopy iteration method for solving nonlinear polynomial systems is proved. The proposed method possesses a high efficiency in solving the high deficient polynomial systems. Numerical examples of mechanism problems demonstrate the efficiency and reliability of the method.
- homotopy iteration method,
- synthesis of mechanisms,
- mechanism