Bayesian Probabilistic Approach to FE Model Updating of Vehicle Typical Spot Weld Structure

Article Preview

Abstract:

Finite element (FE) modeling of laser welds for dynamic analysis is a research issue because of the complexity and uncertainty of the welds and thus formed structures. A Bayesian probabilistic framework incorporating MCMC for updating the parameters of a spot weld structure model was presented, cooperation of finite element program and multiple chains sampling technology was realized, and statistical characteristics of structural parameters were obtained. Distribution ranges of the three frequencies were predicted based on parameter estimation. Numerical simulation indicates that there are little changes in standard deviations of posterior distribution compared to prior distribution, the posterior mean values are in good agreement with the corresponding measured average values. The convergence indicates the techniques feasibility and effectiveness. The present work offers an alternative approach to updating the spot weld structure parameters.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 690-693)

Pages:

2601-2607

Citation:

Online since:

May 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] R.Y. Rubinstein, D.P. Kroese, Simulation and the Monte Carlo Method, John Wiley & Sons, Inc., New Jersey, 2008.

Google Scholar

[2] K. Binder, D.W. Heermann, Monte Carlo Simulation in Statistical Physics: An Introduction, Springer, Germany, 2002.

Google Scholar

[3] R.H. Myers, D.C. Montgomery, C.M. Anderson-Cook, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, John Wiley & Sons, Inc., New Jersey, 2009.

Google Scholar

[4] Y. Ben-Haim, Convex models of uncertainty: applications and implications, Erkenntnis 41 (1994) 139–156.

DOI: 10.1007/bf01128824

Google Scholar

[5] H.N. Najm, Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics, Annu. Rev. Fluid Mech. 41 (2009) 35–52.

DOI: 10.1146/annurev.fluid.010908.165248

Google Scholar

[6] J. L. Beck. Statistical system identification of structures. In Fifth International Conference on Structural Safety and Reliability, pages 1395-1402, New York, August 1989. ASCE.

Google Scholar

[7] J. L. Beck and L. S. Katafygiotis. Updating models and their uncertainties - Bayesian statistical framework. J. Eng. Mech., 124(4):455-461, 1998.

DOI: 10.1061/(asce)0733-9399(1998)124:4(455)

Google Scholar

[8] E. T. Jaynes. Where do we stand on maximum entropy? In R. D. Levine and M. Tribus, editors, The Maximum Entropy Formalism. MIT Press, Cambridge, MA, 1978.

Google Scholar

[9] M. W. Vanik. A Bayesian probabilistic approach to structural health monitoring. Technical Report EERL 97-07, California Institute of Technology, 1997.

Google Scholar

[10] C. Papadimitriou, J. L. Beck, and L. S. Katafygiotis.Asymptotic expansions for reliabilities and moments of uncertain dynamic systems. J. Eng. Mech.

Google Scholar

[11] GELFAND A E,SMITH A F M. Sampling-based approaches to calculating marginal densities[J]. Journal of the American Statistical Association,1990,85:398-409

DOI: 10.1080/01621459.1990.10476213

Google Scholar