Stationary response of colored noise excited vibro-impact system

doi:10.1088/1674-1056/abf12a

中国物理B ›› 2021, Vol. 30 ›› Issue (6): 60501-060501.doi: 10.1088/1674-1056/abf12a

Stationary response of colored noise excited vibro-impact system

Jian-Long Wang(王剑龙), Xiao-Lei Leng(冷小磊)^†, and Xian-Bin Liu(刘先斌)

State Key Laboratory of Mechanics and Control of Mechanical Structure, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

收稿日期:2021-02-08 修回日期:2021-03-04 接受日期:2021-03-24 出版日期:2021-05-18 发布日期:2021-05-25
通讯作者: Xiao-Lei Leng E-mail:lengxl@nuaa.edu.cn
基金资助:
Project 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), and the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD), China.

Stationary response of colored noise excited vibro-impact system

Jian-Long Wang(王剑龙), Xiao-Lei Leng(冷小磊)^†, and Xian-Bin Liu(刘先斌)

State Key Laboratory of Mechanics and Control of Mechanical Structure, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received:2021-02-08 Revised:2021-03-04 Accepted:2021-03-24 Online:2021-05-18 Published:2021-05-25
Contact: Xiao-Lei Leng E-mail:lengxl@nuaa.edu.cn
Supported by:
Project 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), and the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD), China.

摘要/Abstract

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

Abstract: 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.

Key words: vibro-impact system, stationary probability density function, stochastic averaging method, generalized cell mapping method

中图分类号: (Computational methods in statistical physics and nonlinear dynamics)

05.10.-a

05.10.Gg (Stochastic analysis methods) 05.10.Ln (Monte Carlo methods) 05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)

Jian-Long Wang(王剑龙), Xiao-Lei Leng(冷小磊), and Xian-Bin Liu(刘先斌). Stationary response of colored noise excited vibro-impact system[J]. 中国物理B, 2021, 30(6): 60501-060501.

Jian-Long Wang(王剑龙), Xiao-Lei Leng(冷小磊), and Xian-Bin Liu(刘先斌). Stationary response of colored noise excited vibro-impact system[J]. Chin. Phys. B, 2021, 30(6): 60501-060501.

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Stationary response of colored noise excited vibro-impact system

Stationary response of colored noise excited vibro-impact system

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