Model updating for a large multi-span quasi-periodic viaduct based on free wave characteristics

Abstract Quasi-periodic structures, as found in multi-span bridges, multi-bay and multi-storey buildings, are often characterized by a high modal density, even at low frequencies. This clustering of modes poses challenges in operational modal analysis, as well as in finite element model updating, where a pairing of experimental and numerically predicted modes is required. To overcome these difficulties, an alternative method for model updating based on the so-called free wave characteristics has recently been proposed. In this work, this method is applied to calibrate a finite element model of the K032 viaduct of the A11 highway in Bruges, Belgium. Vibration measurements are conducted to experimentally determine the free wave characteristics of the viaduct. In the model updating, the discrepancy between the calculated and identified free wave characteristics is minimized. The results are validated by comparing measured frequency response functions with those obtained from the updated finite element model.

[1]  Costas Papadimitriou,et al.  Optimal sensor placement for multi-setup modal analysis of structures , 2017 .

[2]  Edwin Reynders,et al.  System Identification Methods for (Operational) Modal Analysis: Review and Comparison , 2012 .

[3]  D. Balint,et al.  An inverse method to determine the dispersion curves of periodic structures based on wave superposition , 2015 .

[4]  C. Fritzen,et al.  DAMAGE DETECTION BASED ON MODEL UPDATING METHODS , 1998 .

[5]  John E. Mottershead,et al.  Finite Element Model Updating in Structural Dynamics , 1995 .

[6]  Guido De Roeck,et al.  Model updating of periodic structures based on free wave characteristics , 2019, Journal of Sound and Vibration.

[7]  Geert Lombaert,et al.  Multi-step operational modal testing of a multi-span viaduct , 2018 .

[8]  D. J. Mead A general theory of harmonic wave propagation in linear periodic systems with multiple coupling , 1973 .

[9]  Randall J. Allemang,et al.  THE MODAL ASSURANCE CRITERION–TWENTY YEARS OF USE AND ABUSE , 2003 .

[10]  Guido De Roeck,et al.  Dealing with uncertainty in model updating for damage assessment: A review , 2015 .

[11]  Paul Sas,et al.  Modal Analysis Theory and Testing , 2005 .

[12]  D. J. Mead The forced vibration of one-dimensional multi-coupled periodic structures: An application to finite element analysis , 2009 .

[13]  L. Brillouin Wave propagation in periodic structures : electric filters and crystal lattices , 1953 .

[14]  Guido De Roeck,et al.  Stabil: An educational Matlab toolbox for static and dynamic structural analysis , 2021, Comput. Appl. Eng. Educ..

[15]  D. M. Mead,et al.  WAVE PROPAGATION IN CONTINUOUS PERIODIC STRUCTURES: RESEARCH CONTRIBUTIONS FROM SOUTHAMPTON, 1964–1995 , 1996 .