Hilbert Time-Frequency Identification in Mechanics Domain
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Hilbert Time-Frequency Identification is a vibration analysis method specifically designed for mechanical engineering applications. Originally developed by Michael Feldman, this technique represents significant contributions to both free vibration and forced vibration analysis. The method employs Hilbert transform-based signal processing to extract time-varying characteristics from vibration signals, enabling more precise identification of system parameters and dynamic behavior. From a computational perspective, the implementation typically involves applying the Hilbert transform to obtain analytic signals, calculating instantaneous frequency and amplitude, and using these features for modal parameter identification. Key algorithmic steps include signal preprocessing, Hilbert transformation, and time-frequency feature extraction, which can be implemented using signal processing libraries like MATLAB's hilbert() function or Python's scipy.signal.hilbert module.
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