Finite Element Model Updating of Large Structures by the Clustering of Parameter Sensitivities


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Finite element model updating of a Westland Lynx XZ649 helicopter tail is presented. Eigenvalue sensitivities with respect to Young’s modulus and mass density are used. Large groups based on material input data were divided to form smaller subgroups so that those parts of the model responsible for errors in the predicted eigenvalues were located. A particular new development was the use of parameter clustering based on the similarity of different columns of the sensitivity matrix. Finally the finite element model was updated successfully with regard to the lower frequency tail-bending modes.



Edited by:

Patrick Sean Keogh




H. Shahverdi et al., "Finite Element Model Updating of Large Structures by the Clustering of Parameter Sensitivities", Applied Mechanics and Materials, Vols. 5-6, pp. 85-92, 2006

Online since:

October 2006




[1] M.I. Friswell, and J.E. Mottershead: Finite Element Model Updating in Structural Dynamics, Kluwer Academic Publishers, London, (1995).

[2] J. E. Mottershead and M.I. Friswell: Model Updating In Structural Dynamics: A Survey, Journal of Sound and Vibration, Vol. 167, No. 2, 1993, pp.347-375.


[3] G. Lallement and J. Piranda: Localization Methods for Parameter Updating of Finite Element Models in Electrodynamics, 8th International Modal Analysis Conference, Florida, Orlando, 1990, pp.579-585.

[4] M.I. Friswell, J.E. Mottershead and H. Ahmadian: Combining subset selection and parameter constraints in model updating, Trans ASME, Journal of Vibration and Acoustics, Vol. 120, 1998, pp.854-859.


[5] B.S. Everitt, S. Landau and M. Leese: Cluster Analysis, London, (2001).

[6] T.F. Chan, and P.C. Hansen: Some Application of the Rank Revealing QR Factorization, SIAM Journal on Scientific and Statistical Computing, Vol. 13, No. 3, 1992, pp.727-741.


[7] G. Golub and C. Van Loan: Matrix Computation (2 nd edition), John Hopkins University Press, (1989).

[8] H. Shahverdi, C. Mares and J.E. Mottershead: Clustering of Parameter Sensitivities in the Finite Element Model Updating of a Lynx Helicopter', 1 st International Conference on Innovation and Integration in Aerospace Sciences, Queen, s University Belfast, (2005).