有界噪声激励下系统随机共振的改善
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南京航空航天大学 航空学院,南京 210016

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E-mail: xbliu@nuaa.edu.cnE-mail:xbliu@nuaa.edu.cn

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基金项目:

国家自然科学基金资助项目(11472126,11232007),江苏省高等学校重点学科建设资助项目(PAPD)


IMPROVEMENT OF STOCHASTIC RESONANCE UNDER BOUNDED NOISE EXCITATION
Author:
Affiliation:

College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China

Fund Project:

The project supported by the National Natural Science Foundation of China(11472126,11232007) and the Priority Academic Program Development of Jiangsu Higher Education Institutions(PAPD)

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    摘要:

    为了考察有界噪声参数改变对系统随机共振的影响,本文研究了三个典型随机系统的输出.通过随机Runge-Kutta法对方程进行离散,计算长时间历程下系统的响应.结果表明,改变有界噪声的平均频率及参数,可以有效地改善有界噪声系统的随机共振行为,且存在ω-Ω数值关系可使得共振效果最佳.随着平均频率的增加,随机共振的峰值会呈现增大且偏移的状态,而的增大却往往会抑制随机共振现象.为了验证结果的可靠性,本文建立了Simulink模型,通过仿真实验可得到相同的结论.

    Abstract:

    In order to study the effects of bounded-noise parameters’ change on system stochastic resonance(SR), the outputs of three typical systems are investigated. Stochastic Runge-Kutta method is used to discretize the equations and calculate system response in a extend period. The results demonstrate that the SR can be effectively improved by changing the mean frequency and parameters of the bounded noise, and the resonance effect can be optimized by the existence of numerical relations. With the increase of mean frequency, the peak value of SR will increase and deviate, but the enlargement of will suppress the phenomenon of SR. To verify the above results, we establish Simulink models, and the same conclusion can be obtained through the simulation experiment.

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张强,王剑龙,李扬,刘先斌.有界噪声激励下系统随机共振的改善[J].动力学与控制学报,2021,19(6):52~58; Zhang Qiang, Wang Jianlong, Li Yang, Liu Xianbin. IMPROVEMENT OF STOCHASTIC RESONANCE UNDER BOUNDED NOISE EXCITATION[J]. Journal of Dynamics and Control,2021,19(6):52-58.

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  • 收稿日期:2020-11-18
  • 最后修改日期:2020-12-21
  • 录用日期:2020-12-22
  • 在线发布日期: 2021-12-22
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