| PERIODIC WINDOWS OF NONLINEAR GEAR SYSTEM BASED ON SYMBOLIC DYNAMICS |
| |
| 作者姓名： | GAO Zhiying SHEN Yunwen LIU Xiaoning School of Mechatronics Engineering Northwestern Polytechnical University Xi'an China |
| |
| 作者单位： | GAO Zhiying SHEN Yunwen LIU Xiaoning School of Mechatronics Engineering，Northwestern Polytechnical University，Xi'an 710072，China |
| |
| 摘 要： | The periodic window is researched by means of the symbolic dynamics and formal language. Firstly, the proper sampling period is taken and the orbital points of periodic motion are obtained through Poincare mapping. Secondly, according to the method of symbolic dynamics of one-dimensional discrete mapping, the symbolic sequence describing the periodic orbit is obtained. Finally, based on the symbolic sequence, the corresponding model of minimal finite automation is constructed and the entropy is obtained by calculating the maximal eigenvalue of Stefan matrix. The results show that the orbits in periodic windows can be strictly marked by using the method of symbolic dynamics, thus a foundation for control of switching between target orbits is provided.
|
| 关 键 词： | 非线性齿轮传动装置 符号动力学 有限自动机 熵 符号序列 |
PERIODIC WINDOWS OF NONLINEAR GEAR SYSTEM BASED ON SYMBOLIC DYNAMICS |
| |
| GAO Zhiying SHEN Yunwen LIU Xiaoning School of Mechatronics Engineering,Northwestern Polytechnical University,Xi''''an ,China.PERIODIC WINDOWS OF NONLINEAR GEAR SYSTEM BASED ON SYMBOLIC DYNAMICS[J].Chinese Journal of Mechanical Engineering,2006,19(3):434-438. |
| |
| Authors: | GAO Zhiying SHEN Yunwen LIU Xiaoning |
| |
| Abstract: | The periodic window is researched by means of the symbolic dynamics and formal language. Firstly, the proper sampling period is taken and the orbital points of periodic motion are obtained through Poincare mapping. Secondly, according to the method of symbolic dynamics of one-dimensional discrete mapping, the symbolic sequence describing the periodic orbit is obtained. Finally, based on the symbolic sequence, the corresponding model of minimal finite automation is constructed and the entropy is obtained by calculating the maximal eigenvalue of Stefan matrix. The results show that the orbits in periodic windows can be strictly marked by using the method of symbolic dynamics, thus a foundation for control of switching between target orbits is provided. |
| |
| Keywords: | Nonlinear gear system Periodic window Sym bolic sequence Finite automation Entropy |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
