{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T17:33:48Z","timestamp":1740159228640,"version":"3.37.3"},"reference-count":32,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71701038"],"award-info":[{"award-number":["71701038"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Model. Simul. Sci. Comput."],"published-print":{"date-parts":[[2019,2]]},"abstract":"<jats:p> Bearing is among the most widely used components in rotating machinery. Its failure can cause serious economic losses or even disasters. However, the fault-induced impulses are weak especially for the early failure. As to the bearing fault diagnosis, a novel bearing diagnosis method based on scale-varying fractional-order stochastic resonance (SFrSR) is proposed. Signal-to-noise ratio of the SFrSR output is regarded as the criterion for evaluating the stochastic resonance (SR) output. In the proposed method, by selecting the proper parameters (integration step [Formula: see text], amplitude gain [Formula: see text] and fractional-order [Formula: see text]) of SFrSR, the weak fault-induced impulses, the noise and the potential can be matched with each other. An optimal fractional-order dynamic system can be generated. To verify the proposed SFrSR, numerical tests and application verification are conducted in comparison with the traditional scale-varying first-order SR (SFiSR). The results prove that the parameters [Formula: see text] and [Formula: see text] affect the SFrSR effect seriously and the proposed SFrSR can enhance the weak signal while suppressing the noise. The SFrSR is more effective for bearing fault diagnosis than SFiSR. <\/jats:p>","DOI":"10.1142\/s1793962319410034","type":"journal-article","created":{"date-parts":[[2018,10,15]],"date-time":"2018-10-15T02:28:47Z","timestamp":1539570527000},"page":"1941003","source":"Crossref","is-referenced-by-count":2,"title":["Effect of scale-varying fractional-order stochastic resonance by simulation and its application in bearing diagnosis"],"prefix":"10.1142","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7209-9570","authenticated-orcid":false,"given":"Kuo","family":"Chi","sequence":"first","affiliation":[{"name":"Army Engineering University of PLA, Shijiazhuang 050000, P. R. China"}]},{"given":"Jianshe","family":"Kang","sequence":"additional","affiliation":[{"name":"Army Engineering University of PLA, Shijiazhuang 050000, P. R. China"}]},{"given":"Xinghui","family":"Zhang","sequence":"additional","affiliation":[{"name":"Mechanical Engineering College, Shijiazhuang 050003, P. 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