Calibration of imprecise and inaccurate numerical models considering fidelity and robustness: a multi-objective optimization-based approach

Sez Atamturktur (1) , Zhifeng Liu (1) , Scott Cogan (2) , Hsein Juang (1)

1 Glenn Department of Civil Engineering
2 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

Traditionally, model calibration is formulated as a single objective problem, where fidelity to measurements is maximized by adjusting model parameters. In such a formulation however, the model with best fidelity merely represents an optimum compromise between various forms of errors and uncertainties and thus, multiple calibrated models can be found to demonstrate comparable fidelity producing non-unique solutions. To alleviate this problem, the authors formulate model calibration as a multi-objective problem with two distinct objectives: fidelity and robustness. Herein, robustness is defined as the maximum allowable uncertainty in calibrating model parameters with which the model continues to yield acceptable agreement with measurements. The proposed approach is demonstrated through the calibration of a finite element model of a steel moment resisting frame.

Domaines: Mécanique [physics]

Sez Atamturktur, Zhifeng Liu, Scott Cogan, Hsein Juang. Calibration of imprecise and inaccurate numerical models considering fidelity and robustness: a multi-objective optimization-based approach. Structural and Multidisciplinary Optimization, 2014, 51 (3), pp.659-671. ⟨10.1007/s00158-014-1159-y⟩. ⟨hal-02300231⟩