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A Two‐Step Model Updating Algorithm for Parameter Identification of Linear Elastic Damped Structures
Author(s) -
GarcíaPalencia Antonio Javier,
SantiniBell Erin
Publication year - 2013
Publication title -
computer‐aided civil and infrastructure engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.773
H-Index - 82
eISSN - 1467-8667
pISSN - 1093-9687
DOI - 10.1111/mice.12012
Subject(s) - damping matrix , modal , frequency response , algorithm , stiffness , matrix (chemical analysis) , natural frequency , damping ratio , modal testing , function (biology) , noise (video) , viscous damping , mathematics , control theory (sociology) , vibration , normal mode , mathematical analysis , stiffness matrix , computer science , physics , acoustics , engineering , structural engineering , materials science , artificial intelligence , image (mathematics) , composite material , biology , control (management) , evolutionary biology , polymer chemistry , electrical engineering
A Frequency Response Functions (FRFs)‐based two‐step algorithm to identify stiffness, mass, and viscous damping matrices is developed in this work. The proposed technique uses the difference between the experimentally recorded FRF and their analytical counterparts by minimizing the resultant error function at selected frequency points. In the first step, only mass and stiffness matrices are updated while keeping the uncalibrated viscous damping matrix constant. In the second step, the damping matrix is updated via changes on the selected unknown modal damping ratios. By using a stacking procedure of the presented error function that combines multiple data sets, adverse effects of noise on the estimated modal damping ratios are decreased by averaging the FRF amplitudes at resonant peaks. The application of this methodology is presented utilizing experimentally obtained data. The presented algorithm can perform an accurate structural identification via model updating, with a viscous damping matrix that captures the variation of the modal damping ratios with natural frequencies as opposed to other conventional proportional damping matrix formulations.