TIME-FREQUENCY DEPENDENT DAMPING VIA HILBERT DAMPING SPECTRUM

The damping behavior of a physical system is evaluated by mapping of damping loss factors calculated from time-dependent amplitude and frequency functions to form a full time-frequency dependent damping spectrum. The time-dependent amplitude and frequency functions are formulated by calculations based on the intrinsic mode functions derived by empirical mode decomposition of the original time series dataset representing the system behavior. The amplitude and frequency functions for each intrinsic mode function are calculated from the polar representation of the Hilbert transform-based time-dependent complex function corresponding to the intrinsic mode function.