Poles tracking of weakly nonlinear structures using a Bayesian smoothing method

[1]  E. Bedrosian.  A Product Theorem for Hilbert Transforms , 1963 .

[2]  A. Nuttall,et al.  On the quadrature approximation to the Hilbert transform of modulated signals , 1966 .

[3]  W. Iwan.  A Distributed-Element Model for Hysteresis and Its Steady-State Dynamic Response , 1966 .

[4]  R. Kumaresan,et al.  Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise , 1982 .

[5]  J. L. Brown,et al.  A Hilbert transform product theorem , 1986, Proceedings of the IEEE.

[6]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[7]  Petros Maragos,et al.  On separating amplitude from frequency modulations using energy operators , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[8]  Petros Maragos,et al.  Energy separation in signal modulations with application to speech analysis , 1993, IEEE Trans. Signal Process..

[9]  Michael Feldman,et al.  NON-LINEAR FREE VIBRATION IDENTIFICATION VIA THE HILBERT TRANSFORM , 1997 .

[10]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[11]  N. Huang,et al.  A new view of nonlinear water waves: the Hilbert spectrum , 1999 .

[12]  G. Tomlinson,et al.  Nonlinearity in Structural Dynamics: Detection, Identification and Modelling , 2000 .

[13]  Keith Worden,et al.  Nonlinearity in Structural Dynamics , 2019 .

[14]  Joseph Lardies,et al.  Identification of modal parameters using the wavelet transform , 2002 .

[15]  D. Segalman.  A Four-Parameter Iwan Model for Lap-Type Joints , 2002 .

[16]  Pierre Argoul,et al.  INSTANTANEOUS INDICATORS OF STRUCTURAL BEHAVIOUR BASED ON THE CONTINUOUS CAUCHY WAVELET ANALYSIS , 2003 .

[17]  Jeffrey K. Uhlmann,et al.  Unscented filtering and nonlinear estimation , 2004, Proceedings of the IEEE.

[18]  K. Worden,et al.  Past, present and future of nonlinear system identification in structural dynamics , 2006 .

[19]  Simo Särkkä,et al.  Unscented Rauch-Tung-Striebel Smoother , 2008, IEEE Trans. Autom. Control..

[20]  Norden E. Huang,et al.  A review on Hilbert‐Huang transform: Method and its applications to geophysical studies , 2008 .

[21]  Emmanuel Foltête,et al.  Experimental identification of nonlinear dynamic properties of built-up structures , 2009 .

[22]  Alexander F. Vakakis,et al.  Nonlinear normal modes, Part I: A useful framework for the structural dynamicist , 2009 .

[23]  David J. Wagg,et al.  Nonlinear Vibration with Control for Flexible and Adaptive Structures Series: Solid Mechanics and Its Applications, Vol. 170 , 2010 .

[24]  Vinay A. Bavdekar,et al.  Identification of process and measurement noise covariance for state and parameter estimation using extended Kalman filter , 2011 .

[25]  M. Feldman.  Hilbert transform in vibration analysis , 2011 .

[26]  Gaëtan Kerschen,et al.  Modal testing of nonlinear vibrating structures based on nonlinear normal modes: Experimental demonstration , 2011 .

[27]  Gaël Chevallier,et al.  Tracking and removing modulated sinusoidal components: A solution based on the kurtosis and the Extended , 2013 .

[28]  Jean-Philippe Noël,et al.  Frequency-domain subspace identification for nonlinear mechanical systems , 2013 .

[29]  Yves Govers,et al.  AIRBUS A350 XWB GVT: State-of-the-Art Techniques to Perform a Faster and Better GVT Campaign , 2014 .

[30]  Jean-Philippe Noël,et al.  Complex dynamics of a nonlinear aerospace structure: Experimental identification and modal interactions , 2014 .

[31]  Jean-Philippe Noël,et al.  Subspace-based identification of a nonlinear spacecraft in the time and frequency domains , 2014 .

[32]  Marc Böswald,et al.  AIRBUS A350XWB Ground Vibration Testing: Efficient techniques for customer oriented on-site modal identification , 2014 .