Sensitivity analysis of parametric uncertainties and modeling errors in computational-mechanics models by using a generalized probabilistic modeling approach
Arnst, Maarten; Goyal, Kavita
2017 • In Reliability Engineering and System Safety, 167, p. 394-405
Arnst, Maarten ; Université de Liège > Département d'aérospatiale et mécanique > Computational and stochastic modeling
Goyal, Kavita
Language :
English
Title :
Sensitivity analysis of parametric uncertainties and modeling errors in computational-mechanics models by using a generalized probabilistic modeling approach
Guilleminot, J., Soize, C., On the statistical dependence for the components of random elasticity tensors exhibiting material symmetry properties. J. Elast 111 (2013), 109–130, 10.1007/s10659-012-9396-z.
Batou, A., Soize, C., Rigid multibody system dynamics with uncertain rigid bodies. Multibody Syst Dyn 27 (2012), 285–319, 10.1007/s11044-011-9279-2.
Kree, P., Soize, C., Mathematics of random phenomena. 1983, D. Reidel Publishing Company, Dordrecht, Netherlands.
Roberts, J., Spanos, P., Random vibration and statistical linearization. 2003, Dover, Mineola, NY.
Beck, J., Katafygiotis, L., Updating models and their uncertainties. I: Bayesian statistical framework. J Eng Mech 124 (1998), 455–461, 10.1061/(ASCE)0733-9399(1998)124:4(455).
Kennedy, M., O'Hagan, A., Bayesian calibration of computer models. J R Stat SocSeries B 63 (2001), 425–450, 10.1111/1467-9868.00294.
Arendt, P., Apley, D., Chen, W., Quantification of model uncertainty: calibration, model discrepancy, and identifiability. J Mech Des, 134, 2012, 100908, 10.1115/1.4007390.
Sargsyan, K., Najm, H., Ghanem, R., On the statistical calibration of physical models. Int J Chem Kinet 47 (2015), 246–276, 10.1002/kin.20906.
Soize, C., Nonparametric model of random uncertainties for reduced matrix models in structural dynamics. Probab Eng Mech 15 (2000), 277–294, 10.1016/S0266-8920(99)00028-4.
Capiez-Lernout, E., Soize, C., Nonparametric modeling of random uncertainties for dynamic response of mistuned bladed disks. J Eng Gas TurbinesPower 126 (2004), 610–618, 10.1115/1.1760527.
Desceliers, C., Soize, C., Cambier, S., Non-parametric-parametric model for random uncertainties in non-linear structural dynamics: application to earthquake engineering. Earthquake Eng StructDyn 33 (2004), 315–327, 10.1002/eqe.352.
Mignolet, M., Soize, C., Nonparametric stochastic modeling of linear systems with prescribed variance of several natural frequencies. Probab Eng Mech 23 (2008), 267–278, 10.1016/j.probengmech.2007.12.027.
Soize, C., Capiez-Lernout, E., Durand, J.-F., Fernandez, C., Gagliardini, L., Probabilistic model identification of uncertainties in computational models for dynamical systems and experimental validation. Comput Methods Appl MechEng 198 (2008), 150–163, 10.1016/j.cma.2008.04.007.
Soize, C., Poloskov, I., Time-domain formulation in computational dynamics for linear viscoelastic media with model uncertainties and stochastic excitation. Comput Math Appl 64 (2012), 3594–3612, 10.1016/j.camwa.2012.09.010.
Durand, J.-F., Soize, C., Gagliardini, L., Structural-acoustic modeling of automotive vehicles in presence of uncertainties and experimental identification and validation. J Acoust SocAm 124 (2008), 1513–1525, 10.1121/1.2953316.
Soize, C., Chebli, H., Random uncertainties model in dynamic substructuring using a nonparametric probabilistic model. J Eng Mech 129 (2003), 449–457, 10.1061/(ASCE)0733-9399(2003)129:4(449).
Chebli, H., Soize, C., Experimental validation of a nonparametric probabilistic model of nonhomogeneous uncertainties for dynamical systems. J Acoust SocAm 115 (2004), 697–705, 10.1121/1.1639335.
Arnst, M., Clouteau, D., Cheli, H., Othman, R., Degrande, G., A non-parametric probabilistic model for ground-borne vibrations in buildings. Probab Eng Mech 21 (2006), 18–34, 10.1016/j.probengmech.2005.06.004.
Cottereau, R., Clouteau, D., Soize, C., Construction of a probabilistic model for impedance matrices. Comput Methods Appl MechEng 196 (2007), 2252–2268, 10.1016/j.cma.2006.12.001.
Cottereau, R., Clouteau, D., Soize, C., Parametric and nonparametric models of the impedance matrix of a random medium. Eur J ComputMech 17 (2008), 881–892, 10.3166/REMN.17.881-892.
Arnst, M., Clouteau, D., Bonnet, M., Inversion of probabilistic structural models using measured transfer functions. Comput Methods Appl MechEng 197 (2008), 589–608, 10.1016/j.cma.2007.08.011.
Soize, C., Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions. Int J Numer Methods Eng 81 (2010), 939–970, 10.1002/nme.2712.
Batou, A., Soize, C., Stochastic modeling and identification of an uncertain computational dynamical model with random fields properties and model uncertainties. Arch Appl Mech 83 (2013), 831–848, 10.1007/s00419-012-0720-7.
Saltelli, A., Ratto, M., Andres, T., Campolongo, F., Cariboni, J., Gatelli, D., et al. Global sensitivity analysis: the primer. 2008, Wiley, West Sussex, United Kingdom.
Sobol, I., Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Math Comput Simul 55 (2001), 271–280, 10.1016/S0378-4754(00)00270-6.
Saltelli, A., Making best use of model evaluations to compute sensitivity indices. Comput Phys Commun 145 (2002), 280–297, 10.1016/S0010-4655(02)00280-1.
Oakley, J., O'Hagan, A., Probabilistic sensitivity analysis of complex models: a Bayesian approach. J R Stat SocSeries B 66 (2004), 751–769, 10.1111/j.1467-9868.2004.05304.x.
Sudret, B., Global sensitivity analysis using polynomial chaos expansions. Reliab Eng Syst Safety 93 (2008), 964–979, 10.1016/j.ress.2007.04.002.
Crestaux, T., Le Maître, O., Martinez, J.-M., Polynomial chaos expansion for sensitivity analysis. Reliab Eng Syst Safety 94 (2009), 1161–1172, 10.1016/j.ress.2008.10.008.
Kucherenko, S., Tarantola, S., Annoni, P., Estimation of global sensitivity indices for models with dependent variables. Comput Phys Commun 183 (2012), 937–946, 10.1016/j.cpc.2011.12.020.
Janon, A., Klein, T., Lagnoux, A., Nodet, M., Prieur, C., Asymptotic normality and efficiency of two sobol index estimators. ESAIM - Probab Stat 18 (2014), 342–364, 10.1051/ps/2013040.
Owen, A., Better estimation of small sobol’ sensitivity indices. ACM Trans Model ComputSimul, 23, 2013, 11, 10.1145/2457459.2457460.
Munoz Zuniga, M., Kucherenko, S., Shah, N., Metamodelling with independent and dependent inputs. Comput Phys Commun 184 (2013), 1570–1580, 10.1016/j.cpc.2013.02.00.
Kucherenko, S., Song, S., Different numerical estimators for main effect global sensitivity indices. Reliab Eng Syst Safety 165 (2017), 222–238, 10.1016/j.ress.2017.04.003.
Craig, R., Bampton, M., Coupling of substructures for dynamic analysis. AIAA J 6 (1968), 1313–1319, 10.2514/3.4741.
