中文摘要：

提出了耦合随机共振子系统的协同响应和频谱特性概念,解析和数值地分析了系统参数、噪声强度和耦合系数对单一共振子、耦合和无耦合共振子系统的灵敏度、功率谱放大率和信噪比的影响,构建了基于多传感器耦合随机共振子的微弱信号检测模型.理论分析和数值模拟结果表明多传感器耦合系统能产生更强烈的共振效应,其功率谱放大率和信噪比都能显著提高,并通过轴承故障诊断实例证明,所构建的检测模型对噪声淹没的微弱信号具有较强的检测能力,具有良好的应用前景.

英文摘要：

The synergetic response and frequency spectral concept of coupled stochastic resonators system are proposed in the paper. The influences of the system parameters, noise intensity and coupled coefficient to system sensitivity, spectral power amplification and SNR of single resonator, coupled and uncoupled re- sonator were analytic and numerical analyzed. The weak signals detecting model based on multi--sensor coupled stochastic resonators were constructed. The results of theoretical analysis and numerical simula- tion manifested that multi--sensor coupled system can intensify the resonance effect. The spectral power amplification and SNR were remarkably improved. The application to bearing fault diagnosis proved that the detecting model has strong ability to detect the weak signal submerged in noises. The method has good application perspective.