On mode shape wavelet of vibration signal analysis

With the scaling function construction, the single-freedom vibration mode function is expanded into bilateral linear wave packet function in this paper, and a new class of mode shape wavelet is constructed. The mode shape wavelet is used to analysis vibration signals specially, and the mode shape wavelet sample coefficients of high-pass filter or low-pass filter is worked out. The mode shape wavelet is not satisfied the wavelet condition, but it is proved that the mode shape wavelet can do multi-resolution analysis. So a new vibration signal features extraction algorithm is provided in this paper, and it has been applied into the actual vibration projects. The mode parameters of vibration signal must be extracted at first, and the corresponding mode shape wavelet will be constructed based on these modal parameters. At last the features will be extracted from vibration signals based on the constructed mode shape wavelet. The mode shape wavelet has specific physical signification of vibration model. And the comparing experiments between Daubecheis 4 wavelet and mode shape wavelet indicate that the decomposed coefficients of mode shape wavelet has better pattern recognition performance than that of Daubecheis 4 wavelet.