Timely detection of early gear failures is a significant challenge in gear health monitoring, particularly challenging in novel gear drive systems such as planetary gears and harmonic gears. Frequency-based health indicators (HIs) are relatively less sensitive to early faults compared to time-domain approaches and inherently exhibit a delay in gear early fault warning. Meanwhile, multichannel signals inherently contain richer machine condition information compared to single channel signals. Thus, temporal sparse weight based gear health monitoring tool by multichannel phase synchronized fusion dual-lifting tree model is proposed for gear health monitoring. Multichannel phase synchronized fusion dual-lifting tree model is constructed, decomposing the raw data into several components through three levels. First, high order singular value decomposition (HOSVD) is employed, to separate noise and feature components from raw data as the 1st level of tree model. Second, multichannel phase synchronized fusion (MPSF) is proposed as the 2nd level of tree model to address phase desynchronization in full-lifecycle multichannel vibration signals, enabling linear multichannel feature fusion. It introduces multi-IMF mean phase coherence (MIMPC) for phase synchronization and compensation, producing multichannel phase synchronized feature components. Additionally, MPSF employs an estimated noise-assisted random matrix model for feature fusion, generating fused feature that integrate multichannel gear vibration signals effectively. Third, a dual-lifting transform (DLT) is proposed as the 3rd level, aimed at obtaining a dual-lifting enhanced signal to extract and quantitatively amplify early weak fault features related to faults in the fused time-domain signal. Adaptive blind deconvolution is employed as a first lifting processing to extract the gear fault features from the fused features after MPSF. Subsequently, a neighboring coefficient operator is applied to quantitatively amplify gear fault features and suppress other irrelevant residual signals. Finally, the dual-lifting enhanced signal is introduced into unified sparsity measurement framework, and the optimized temporal sparse weights are calculated by solving convex optimization for constructing temporal sparse weight based gear health indicator (TSWGHI). An experimental case of robotic harmonic reducer and an engineering case of finishing mill gearbox show that the proposed tool demonstrates remarkable performance in gear health monitoring by comparing with traditional and popular HIs.
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