Stationary response of colored noise excited vibro-impact system  

作　　者：Jian-Long Wang Xiao-Lei Leng Xian-Bin Liu 王剑龙;冷小磊;刘先斌(State Key Laboratory of Mechanics and Control of Mechanical Structure,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

机构地区：[1]State Key Laboratory of Mechanics and Control of Mechanical Structure,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China

出　　处：《Chinese Physics B》2021年第6期169-175,共7页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 11772149);the Research Fund of State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,China (Grant No. MCMS-I-19G01);the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD),China。

摘　　要：The generalized cell mapping(GCM) method is used to obtain the stationary response of a single-degree-of-freedom.Vibro-impact system under a colored noise excitation. In order to show the advantage of the GCM method, the stochastic averaging method is also presented. Both of the two methods are tested through concrete examples and verified by the direct numerical simulation. It is shown that the GCM method can well predict the stationary response of this noise-perturbed system no matter whether the noise is wide-band or narrow-band, while the stochastic averaging method is valid only for the wide-band noise.

关 键 词：vibro-impact system stationary probability density function stochastic averaging method generalized cell mapping method 

分 类 号：O19[理学—数学]