Multi-fidelity approach to dynamics model calibration

被引:41
作者
Absi, Ghina N. [1 ]
Mahadevan, Sankaran [1 ]
机构
[1] Vanderbilt Univ, Dept Civil & Environm Engn, Nashville, TN 37235 USA
关键词
Multi-fidelity; Bayesian calibration; Hypersonic vehicle; Model uncertainty; Information fusion; Damping coefficient; AMBIENT MODAL IDENTIFICATION; BAYESIAN CALIBRATION; STRUCTURAL IDENTIFICATION; AERODYNAMIC OPTIMIZATION; RELIABILITY-ANALYSIS; HYPERSONIC VEHICLE; UNCERTAINTY; SELECTION; QUANTIFICATION; APPROXIMATIONS;
D O I
10.1016/j.ymssp.2015.07.019
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper investigates the use of structural dynamics computational models with multiple levels of fidelity in the calibration of system parameters. Different types of models may be available for the estimation of unmeasured system properties, with different levels of physics fidelity, mesh resolution and boundary condition assumptions. In order to infer these system properties, Bayesian calibration uses information from multiple sources (including experimental data and prior knowledge), and comprehensively quantifies the uncertainty in the calibration parameters. Estimating the posteriors is done using Markov Chain Monte Carlo sampling, which requires a large number of computations, thus making the use of a high-fidelity model for calibration prohibitively expensive. On the other hand, use of a low-fidelity model could lead to significant error in calibration and prediction. Therefore, this paper develops an approach for model parameter calibration with a low-fidelity model corrected using higher fidelity simulations, and investigates the trade-off between accuracy and computational effort. The methodology is illustrated for a curved panel located in the vicinity of a hypersonic aircraft engine, subjected to acoustic loading. Two models (a frequency response analysis and a full time history analysis) are combined to calibrate the damping characteristics of the panel. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:189 / 206
页数:18
相关论文
共 70 条
[1]  
Adhikari Sondipon., 2000, DAMPING MODELS STRUC
[2]   Approximation and model management in aerodynamic optimization with variable-fidelity models [J].
Alexandrov, NA ;
Lewis, RM ;
Gumbert, CR ;
Green, LL ;
Newman, PA .
JOURNAL OF AIRCRAFT, 2001, 38 (06) :1093-1101
[3]  
[Anonymous], 1999, P STRUCT DYN FOR SD2
[4]   Bayesian calibration of mechanistic aquatic biogeochemical models and benefits for environmental management [J].
Arhonditsis, George B. ;
Papantou, Dimitra ;
Zhang, Weitao ;
Perhar, Gurbir ;
Massos, Evangelia ;
Shi, Molu .
JOURNAL OF MARINE SYSTEMS, 2008, 73 (1-2) :8-30
[5]   Finite element model updating with damping identification [J].
Arora, Vikas ;
Singh, S. P. ;
Kundra, T. K. .
JOURNAL OF SOUND AND VIBRATION, 2009, 324 (3-5) :1111-1123
[6]   Fast Bayesian ambient modal identification in the frequency domain, Part I: Posterior most probable value [J].
Au, Siu-Kui .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2012, 26 :60-75
[7]   Fast Bayesian FFT Method for Ambient Modal Identification with Separated Modes [J].
Au, Siu-Kui .
JOURNAL OF ENGINEERING MECHANICS, 2011, 137 (03) :214-226
[8]  
Baruch M., 1979, AIAA J, V17, P927
[9]   Updating models and their uncertainties. I: Bayesian statistical framework [J].
Beck, JL ;
Katafygiotis, LS .
JOURNAL OF ENGINEERING MECHANICS, 1998, 124 (04) :455-461
[10]   The intrinsic Bayes factor for model selection and prediction [J].
Berger, JO ;
Pericchi, LR .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1996, 91 (433) :109-122