Nonlinearity in Structural Dynamics: Detection, Identification and Modelling

286 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Crack Modeling for Structural Health Monitoring (2002, background): “Worden and Tomlinson (2001) indicated that random excitation tends to make the nonlinearity difficult to detect from the measured frequency response functions, although the measured coherence may be used.”
Nonlinear, non-stationary analysis of interarea oscillations via Hilbert spectral analysis (2006, background): “(b) Instantaneous characteristics. Noting that [ 8 ], we get”
Nonlinear System Identification: A User-Oriented Road Map (2019, background): “However, the output of nonlinear NIIR systems can also show bifurcations and jump phenomena (small variations at the input can result in sudden qualitative or topological changes in the output), even for systems with smooth nonlinearities [8], [16], [17], [27].”
Applications of Hilbert–Huang transform to non‐stationary financial time series analysis (2003, methodology): “Independently, the Hilbert transform has also been applied to study vibration problems and to identify some of the non-linear characteristics through the frequency modulation in a nonlinear structure by Worden and Tomlinson [19].”