Stochastic responses of vibro-impact duffing oscillator excited by additive Gaussian noise |
| |
Authors: | Jinqian Feng Wei Xu Rui Wang |
| |
Institution: | 1. Department of Applied Mathematics, Northwestern Polytechnical University, Xian 710072, PR China;2. Department of Mathematics, Shaan’xi Normal University, Xi’an 710062, PR China |
| |
Abstract: | The stationary responses of vibro-impact Duffing oscillator excited by additive Gaussian white noise are studied by using the quasi-conservative averaging method. With the help of a non-smooth variable transformation and the Dirac delta function, the response probability density functions (PDFs) are formulated analytically. Meanwhile, the results are validated numerically using Monte Carlo simulations. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|