MATEC Web Conf.
Volume 95, 20172016 the 3rd International Conference on Mechatronics and Mechanical Engineering (ICMME 2016)
|Number of page(s)||5|
|Section||Mechanical Transmission Device and Design|
|Published online||09 February 2017|
Stochastic Stability and Bifurcation of A High Speed Rotor-Bearing System with Random Excitation
1 Department of Mathematics, Lanzhou Jiaotong University, 730070, Anning, Lanzhou, China
2 School of Traffic and Transportation, Lanzhou Jiaotong University, 730070, Anning, Lanzhou, China
In this paper, a high speed rotor-bearing system with stochastic excitation is considered, and study the stability and Hopf bifurcation of the system by using quasi-nonintegrable Hamiltonian system theory. Then, the conditions of local and global stability of system are obtained by largest Lyapunov exponent and boundary category. Finally, the solution of FPK equation can be got, which is stationary probability density function and jointly stationary probability density function, and then, by simulating its graph to illustrate the results.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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