Compound fault diagnosing method for planetary gearbox by using matrix wavelet transformation
A planetary gearbox and wavelet transform technology, applied in the direction of machine gear/transmission mechanism testing, etc., can solve the difficult problem of planetary gearbox fault diagnosis, dynamic response signal spectrum distribution and complex characteristic frequency, noise pollution of low-frequency characteristic frequency components, etc. problem, to achieve the effect of one-time separation and diagnosis
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[0055] Concrete method of the present invention comprises the following contents:
[0056] Matrix wavelet transform is generated vector wavelet function by a plurality of scale functions, and these multiple scale functions and described vector wavelet function form matrix wavelet function together, and wherein, matrix wavelet function is generated by following multiresolution analysis (MRA), suppose function Φ=[ φ 1 (t), φ 2 (t),...,φ r (t)] T ∈ L 2 (R) r , r∈N, where φ 1 (t), φ 2 (t),...,φ r (t) is a number of scaling functions. For j∈Z, define:
[0057] V j =clos{2 j / 2 φ i (2 j t-k):1≤i≤r,k∈Z}
[0058] In the formula, the scaling function space V j Created by the closure function clos{}, the resolution is 2 j and V j The following conditions:
[0059] ① Consistent monotonicity: · · · ⋐ V 0 ⋐ V 1 ⋐ V ...
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