Levy噪聲驅動下指數型單穩(wěn)系統(tǒng)的隨機共振特性分析

張剛; 宋瑩; 張?zhí)祢U

doi:10.11999/JEIT160579

Levy噪聲驅動下指數型單穩(wěn)系統(tǒng)的隨機共振特性分析

doi: 10.11999/JEIT160579 cstr: 32379.14.JEIT160579

基金項目:

國家自然科學基金(61371164)，重慶市杰出青年基金(CSTC2011jjjq40002)，重慶市教育委員會科研項目(KJ130524)

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- 文章訪問數: 1284
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出版歷程
- 收稿日期: 2016-06-03
- 修回日期: 2016-11-25
- 刊出日期: 2017-04-19

Characteristic Analysis of Exponential Type Monostable Stochastic Resonance under Levy Noise

Funds:

The National Natural Science Foundation of China (61371164), The Chongqing Distinguished Youth Foundation (CSTC2011jjjq40002), The Research Project of Chongqing Educational Commission (KJ130524)

摘要

摘要: 該文基于絕對值型和指數型勢函數，構建了更一般的指數型單穩(wěn)勢函數，深入研究了Levy噪聲驅動的指數型單穩(wěn)系統(tǒng)，并總結出不同特征指數和不同對稱參數下，指數型系統(tǒng)參數l和b,Levy噪聲強度系數D對指數系統(tǒng)共振輸出的作用規(guī)律。研究表明：在不同Levy噪聲驅動下，通過調節(jié)參數l和b均可誘導隨機共振(SR)，且當b(或l)的取值越大時，產生較好隨機共振效果l(或b)的區(qū)間越大，從而改善傳統(tǒng)SR系統(tǒng)由于參數選擇不當造成隨機共振效果不佳的問題。此外，通過調節(jié)噪聲強度系數D也能產生隨機共振，且較好隨機共振區(qū)間不隨或變化；最后將指數型單穩(wěn)系統(tǒng)應用于軸承故障檢測，效果明顯優(yōu)于傳統(tǒng)雙穩(wěn)系統(tǒng)。
- 指數型單穩(wěn)系統(tǒng) /
- Levy噪聲 /
- 隨機共振 /
- 軸承故障檢測
Abstract: Based on the absolute and exponential monostable potential, a generalized exponential type single-well potential function is constructed. The laws for the resonant output of monostable system governed byl andb,D of Levy noise are explored under different characteristic index and symmetry parameter of Levy noise. The results show that the stochastic resonance phenomenon can be induced by adjusting the exponential type parametersl and b under any or of Levy noise. The larger b (or l) is, the wider parameter interval of l (or b) can induce SR (Stochastic Resonance). The ESR (Exponential SR) system can solve the problem that the traditional system can not achieve SR due to the improper selection of parameters. The interval of D of Levy noise, which induces good stochastic resonance, does not change with or. At last, the proposed exponential type monostable is applicated to detect bearing fault signals, which achieves better performance compared with the traditional bisabled system.
- Exponential type monostable system /
- Levy noise /
- Stochastic Resonance (SR) /
- Bearing fault detection

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