Toward a Fundamental Understanding of the Hilbert-Huang Transform in Nonlinear Structural Dynamics

DOI10.1177/1077546307079381zbMath1229.70069OpenAlexW1982221855MaRDI QIDQ3110942

D. Michael McFarland, Lawrence A. Bergman, Young Sup Lee, Gaëtan Kerschen, Alexander F. Vakakis

Publication date: 17 January 2012

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546307079381

zbMATH Keywords

nonlinear system identificationempirical mode decompositionHilbert-Huang transformslow-flow dynamics

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Related Items (6)

Temporal and spectral responses of a softening Duffing oscillator undergoing route-to-chaos ⋮ Non-resonant damped transitions resembling continuous resonance scattering in coupled oscillators with essential nonlinearities ⋮ Detecting the sensitivity of structural damage based on the Hilbert‐Huang transform approach ⋮ Periodic orbits, damped transitions and targeted energy transfers in oscillators with vibro-impact attachments ⋮ Experimental Identification of Nonlinearities under Free and Forced Vibration using the Hilbert Transform ⋮ Analytical and numerical investigations on inerter-based NES absorber system with nonlinear damping

Cites Work

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• Experimental study of non-linear energy pumping occurring at a single fast frequency
• Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas
• NON-LINEAR FREE VIBRATION IDENTIFICATION VIA THE HILBERT TRANSFORM
• A Nonparametric Identification Technique for Nonlinear Dynamic Problems
• The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
• Irreversible Passive Energy Transfer in Coupled Oscillators with Essential Nonlinearity
• Averaging methods in nonlinear dynamical systems

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