论文信息 - Effects of modal density in system identification using the Hilbert transform

Effects of modal density in system identification using the Hilbert transform

The paper aims to review and deepen the effects of the modal density in the dynamical identification with the Complex Plane Representation (CPR) method that is based on the Hilbert transform of the motion response of mechanical systems. It is demonstrated that the strong accuracy in the identification of the modal parameters with the CPR method can be somewhat corrupted for high modal densities. Theoretical and numerical solutions are used to analyze the problem and validate the CPR results.

[1] C. Valente,et al. Non classical modal parameters identification via dynamic response complexification , 2009 .

[2] C. Valente,et al. The Complex Plane Representation method for structural damage detection , 2010 .

[3] Sondipon Adhikari,et al. Damping modelling using generalized proportional damping , 2006 .

[4] A. Leonardis,et al. COMPLEX MODES IDENTIFICATION VIA HILBERT TRANSFORM , 2010 .

[5] Wanping Zheng,et al. Quantification of non-proportionality of damping in discrete vibratory systems , 2000 .

[6] N. Huang,et al. System identification of linear structures based on Hilbert–Huang spectral analysis. Part 1: normal modes , 2003 .

[7] D. Spina,et al. A representation of the harmonic response in the complex plane for modal parameter identification , 1997 .

[8] David J. Ewins,et al. Modal Testing: Theory, Practice, And Application , 2000 .

[9] Andrew J. Kurdila,et al. 『Fundamentals of Structural Dynamics』(私の一冊) , 2019, Journal of the Society of Mechanical Engineers.

[10] S. Hahn. Hilbert Transforms in Signal Processing , 1996 .

[11] Michael Feldman,et al. Hilbert Transform Applications in Mechanical Vibration: Feldman/Hilbert Transform Applications in Mechanical Vibration , 2011 .

[12] Kerstin Vogler,et al. Computational Methods In Structural Dynamics , 2016 .

[13] Rajendra Singh,et al. Quantification of the extent of non-proportional viscous damping in discrete vibratory systems , 1986 .