CAJ | 학술논문

提出一种二次方分段双稳势函数，建立了该势函数的参数与克莱默斯逃逸率和输出信噪比的解析关系。并从动力学的角度，分析了不同非线性势函数下布朗粒子所受的势场力对增强随机共振效应的影响。数值仿真与理论分析结论一致。经对轴承滚动体故障数据的分析表明，该势函数所产生的随机共振能更有效地实现微弱特征检测与早期故障诊断。
제출일충이차방분단쌍은세함수，건립료해세함수적삼수여극래묵사도일솔화수출신조비적해석관계。병종동역학적각도，분석료불동비선성세함수하포랑입자소수적세장력대증강수궤공진효응적영향。수치방진여이론분석결론일치。경대축승곤동체고장수거적분석표명，해세함수소산생적수궤공진능경유효지실현미약특정검측여조기고장진단。
A quadratic segmented bistable potential function was proposed here,the analytic relations among Kramers escape rate,the output signal-to-noise ratio and parameters of the potential function were established.With the principle of dynamics,the influences of the potential field force exerted on Brownian particles under different nonlinear potential functions on enhancing the stochastic resonance produced by the potential functions were analyzed.The results of numerical simulation agree well with the theoretical analysis ones.The analysis of rolling element bearing fault data showed that the stochastic resonance caused by the proposed potential function effectively realizes the weak signal detection and early fault diagnosis.