Open document
|
General information |
| Author |
Luo, Youxin; Liu, Qiyuan; Che, Xiaoyi; He, ZheMing |
| Published |
InTech Open Access Publisher, 2013
|
| Edition |
|
| Extend |
|
| ISBN |
|
| Abstract |
The forward displacement problem of the parallel
robot mechanism can be converted to nonlinear equations
in order to find solutions, but it is very difficult to find all
solutions because of the strong coupling of the nonlinear
equations. Given the problems of having only one solution
and sometimes no convergence when solving the nonlinear
equations with the Newton method and quasi‐Newton
method, a LMF algorithm based on hyper‐chaos is
proposed to solve the general 6‐6 platform parallel
mechanism, based on the combination of the hyper‐chaos
system and the Levenberg‐Marquardt‐Fletcher
(abbreviated as LMF) algorithm. This method uses the
hyper‐chaotic system to produce the initial point of the
LMF algorithm, and takes advantage of the characteristics
of the chaotic sequence and the LMF algorithm to find all
the real solutions. The numerical example shows that the
new method has some characteristics such as that it runs in
the initial value range, it has fast convergence, it finds all
the real solutions that can be found, and it proves the
correctness and validity. It provides a new approach to
mechanism design. |
|
| |
|
International Journal of Advanced Robotic Systems
Author: Ottaviano, Erika; Ceccarelli, Marco; Husty, Manfred; Yu, Sung-Hoon; Kim, Yong-Tae; Park, Chang-Woo; Hyun, Chang-Ho; Chen, Xiulong; Feng, Weiming; Sun, Xianyang; Gao, Qing; Grigorescu, Sorin M.; Pozna, Claudiu; Liu, Wanli; Zhankui, Wang; Guo, Meng; Fu, Guoyu; Zhang, Jin; Chen, Wenyuan; Peng, Fengchao; Yang, Pei; Chen, Chunlin; Ding, Rui; Yu, Junzhi; Yang, Qinghai; Tan, Min; Polden, Joseph; Pan, [...]
Published: 2004
|
|
Newsletter
DMG-Lib
Europeana
PDF
Univ. Cassino
