双输入信号驱动的耦合分段对称三稳随机共振系统研究
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重庆邮电大学通信与信息工程学院

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TH 133.33;TN911.23??

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重庆市自然科学基金面上项目(CSTB2023NSCQ-MSX0235,cstc2021jcyj-msxmX0836)


Coupled piecewise symmetric tri-stable stochastic resonance system driven by dual-input signals
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    摘要:

    为解决传统双输入信号驱动的三稳随机共振系统(DTDTSR)所存在的输出饱和和信号放大差异等问题,独创性地提出了一种全新的系统:双输入信号驱动的耦合分段对称三稳定随机共振系统(coupled piecewise symmetric tri-stable stochastic resonance system driven by dual-input signals, DCPSTSR)。首先深入研究系统输出饱和性的问题,为系统性能的优化提供了关键理论基础。其次,在绝热近似理论的框架下,推导了系统的输出谱放大函数(spectral amplification, SA)。详尽分析了系统参数对其的影响,为更深层次的理解提供了理论支持。进一步,通过数值模拟对DCPSTSR、CPSTSR和DTDTSR系统进行了全面比较,结果明确指出DCPSTSR系统在输出谱放大函数方面显著优越于其他系统。最后,通过遗传算法对系统参数进行了精密优化,并将其成功应用于轴承故障检测。实验结果验证了DCPSTSR系统在性能上的卓越表现,为未来理论研究和工程应用提供了有力的理论支持和可行性验证。这一设计以及其在轴承故障检测方面的成功应用,为共振系统领域的进一步研究和实际应用提供了新的方向和范例,具有重要的科学和工程价值。

    Abstract:

    In order to solve the problems of output saturation and signal amplification discrepancy of the traditional dual-input signal-driven tri-stable stochastic resonance system (DTDTSR), a completely novel system is ingeniously proposed: coupled piecewise symmetric tri-stable stochastic resonance system driven by dual-input signals (DCPSTSR). Stochastic resonance system driven by dual-input signals, DCPSTSR). Firstly, the problem of output saturation of the system is studied in depth, which provides a key theoretical basis for the optimization of the system performance. Secondly, the output spectral amplification (SA) function of the system is derived within the framework of the adiabatic approximation theory. The influence of system parameters on it is analyzed in detail, which provides theoretical support for deeper understanding. Further, a comprehensive comparison of the DCPSTSR, CPSTSR and DTDTSR systems is carried out through numerical simulations, and the results clearly indicate that the DCPSTSR system significantly outperforms the other systems in terms of the output spectral amplification function. Finally, the system parameters were precisely optimized by genetic algorithm and successfully applied to bearing fault detection. The experimental results verify the excellent performance of the DCPSTSR system and provide strong theoretical support and feasibility verification for future theoretical research and engineering applications. This design and its successful application in bearing fault detection provide a new direction and example for further research and practical application in the field of resonance systems, which has important scientific and engineering value.

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  • 收稿日期:2023-11-27
  • 最后修改日期:2024-03-15
  • 录用日期:2024-04-14
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