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Double Gaussian potential stochastic resonance method and its application in centrifugal fan blade crack detection
Institution:1. Institute of Information and Navigation, Air Force Engineering University, Xi''an 710077, China;2. School of Automation and Information Engineering, Xi''an University of Technology, Xi''an 710048, China;1. School of Electrical Engineering, Yanshan University, Qinhuangdao 066004, People''s Republic of China;2. School of Vehicles and Energy, Yanshan University, Qinhuangdao 066004, People''s Republic of China;1. Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China;2. Department of Mathematics, Changzhi University, Changzhi 046011, China;1. School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, Zhejiang, China;2. The State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing 400044, China;3. Zhejiang Provincial Key Laboratory of Part Rolling Technology, Ningbo 315211, Zhejiang, China;4. College of Information Engineering, Nanjing University of Finance and Economics, Nanjing 210023, Jiangsu, China;5. School of Engineering Technology, Purdue University, 610 Purdue Mall, West Lafayette, IN 47907, America
Abstract:Stochastic resonance (SR) has been extensively utilized in the field of weak fault signal detection for its characteristic of enhancing weak signals by transferring the noise energy. Aiming at solving the output saturation problem of the classical bistable stochastic resonance (CBSR) system, a double Gaussian potential stochastic resonance (DGSR) system is proposed. Moreover, the output signal-to-noise ratio (SNR) of the DGSR method is derived based on the adiabatic approximation theory to analyze the effect of system parameters on the DGSR method. At the same time, for the purpose of overcoming the drawback that the traditional SNR index needs to know the fault characteristic frequency (FCF), the weighted local signal-to-noise ratio (WLSNR) index is constructed. The DGSR with WLSNR can obtain optimal parameters adaptively, thereby establishing the DGSR system. Ultimately, a DGSR method is proposed and applied in centrifugal fan blade crack detection. Through simulations and experiments, the effectiveness and superiority of the DGSR method are verified.
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