The method of piecewise polynomial based local characteristic-scale decomposition and its application

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (4) : 230-234.

WU Zhan-tao1，CHENG Jun-sheng1，ZENG Ming1，ZHENG Jin-de2

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Abstract

A novel nonstationary signal method PPLCD was proposed for improving the problem of LCD, of which，the first derivative of extremum points in the connecting line of two extreme value points was discontinuous, thereby the decomposition precision was lowered. Piecewise polynomial was used in PPLCD to replace line connection in LCD, and the mean curve interpolation points were computed by the polynomial which was generated by three adjacent similar extremum points. The paper firstly studied the theory of PPLCD，then simulation experiments were used to compare PPLCD with LCD. The results indicate that PPLCD is more efficient in improving the orthogonality and veracity in components than LCD. Finally, the proposed method was applied to diagnose the rotor with rub-impact fault successfully which indicated the effectiveness of PPLCD.

Key words

local characteristic-scale decomposition；piecewise polynomial；fault diagnosis / rotor；intrinsic scale component

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WU Zhan-tao1，CHENG Jun-sheng1，ZENG Ming1，ZHENG Jin-de2. The method of piecewise polynomial based local characteristic-scale decomposition and its application[J]. Journal of Vibration and Shock, 2016, 35(4): 230-234

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