Abstract
A statistical procedure for calibration and validation is addressed as an industrial application for the analysis problem of piston insertion into the housing in the pyrotechnically actuated device. Three parameters are identified in the model that affect the solution greatly but they are not known a priori. Bayesian approach is employed to calibrate these parameters in the form of distributions, which account for the uncertainty of the model and test data. In order to validate the model, similar new problems are introduced, analyzed and tested for validation purpose. As a result, the predictions in the new problems are found to work equally well as in the calibration problem, which suggests that it is useful in the subsequent new design without additional test procedure.
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