I want to tune natural frequencies of first few modes of vibration of a shell. Which are the best iterative methods for finite element model updating of above mentioned problem.
Please have a look at the following papers and the references there in:
1- E. Simoen, B. Moaveni, J. P. Conte, G. Lombaert, "Uncertainty Quantification in the Assessment of Progressive Damage in a 7-Story Full-Scale Building Slice," ASCE Journal of Engineering Mechanics,2013, Vol 139(12).
2- K. Yuen, S. Kuok, "Bayesian Methods for Updating Dynamic Models," ASME Applied Mechanics Reviews, 2011, Vol 64.
For basic knowledges in this topic have a look to this book:
1. Michael Friswell, J.E. Mottershead, "Finite Element Model Updating in Structural Dynamics", Springer Science & Business Media, 1995
These two papers are very good too:
2. E. Dascotte, Model Updating for Structural Dynamics: Past, Present and Future Outlook. Presented at International Conference on Engineering Dynamics (ICED), April 16-18, 2007, Carvoeiro, Algarve, Portugal.
3. John E. Mottersheada, Michael Linkb, Michael I. Friswell, "The sensitivity method in finite element model updating: A tutorial", Mechanical Systems and Signal Processing
I have some paper regarding that topic in which you ill find that details which you are looking for. I will mail you or you can also collect from my desk.