Abstract
A B-spline based FE model updating procedure is proposed. The approach is based on the least squares minimization of an objective function dealing with residues, defined as the difference between the model based response and the experimental measured response, at the same frequency. The B-spline FE model can make it possible to limit the number of dofs. A constraint model and a damping model are proposed, being parameterized by means of B-spline functions. The incompatibility between the measurement dofs and the model dofs is also taken into consideration. An example dealing with a composite car front spoiler is reported, considering the presence of random noise. Results are critically discussed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Kagan, P. & Fischer, A. (2000). Integrated mechanically based CAE system using B-spline finite elements. Computer Aided Design, 32, pp. 539-552.
Hughes, T.J.R.; Cottrell, J.A. & Bazilevs, Y. (2005). Isogeometric analysis: CAD, finite elements, NURBS, exact geome-try, and mesh refinement. Computer Methods in Applied Mechanics and Engineering, 194, pp. 4135–4195, 2005.
Hughes, T.J.R.; Reali, A. & Sangalli, G. (2009). Isogeometric methods in structural dynamics and wave propagation, Proceedings of COMPDYN 2009 - Computational Methods in Structural Dynamics and Earthquake Engineering, Rhodes, Greece, 22-24 June 2009.
A. Carminelli, G. Catania, B-spline finite element formulation for laminated composite shells. Proceedings of ASME IMECE 2008, pp.1-7, October 31-November 6, 2008, Boston, Massachusetts, USA.
A. Carminelli, G. Catania, PB-spline finite element shell modeling and refinement technique. Proceedings of ASME IDETC/CIE 2009, pp.1-8, August 30-September 2, 2009, San Diego, California, USA.
Esfandiari, A.; Bakhtiari-Nejad, F.; Rahai, A. & Sanayei, M. (2009). Structural model updating using frequency response function and quasi-linear sensitivity equation. Journal of Sound and Vibration, Vol. 326, 3-5, pp. 557-573, ISSN 0022-460X.
Friswell, M. I. & Mottershead, J. E. (1995) Finite element modal updating in structural dynamics, Kluwer Academic Pub-lisher, ISBN 0-7923-3431-0, Dordrecht, Netherlands.
Friswell, M.I.; Mottershead, J.E. & Ahmadian, H. (2001). Finite-Element Model Updating Using Experimental Test Data: Parametrization and Regularization. Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 359, 1778, Experimental Modal Analysis (Jan. 2001), pp. 169-186.
Gabriele S.; Valente, C. & Brancaleoni, F. (2009). Model calibration by interval analysis. Proceedings of XIX AIMETA CONFERENCE, Ancona, Italy, September 14-17, 2009.
Garibaldi, L.; Catania, G.; Brancaleoni, F.; Valente, C. & Bregant, L. (2005). Railway Bridges Identification Tech-niques. Proceedings of IDETC2005: The 20th ASME Biennial Conference on Mechanical Vibration and Noise, Long Beach, CA, USA, September 24-28, 2005.
D’ambrogio W. & Fregolent A. (2000). Robust dynamic model updating using point antiresonances. Proceedings of the 18th International Modal Analysis Conference, pp. 1503-1512, San Antonio, Texas.
Kye-Si Kwon1, Rong-Ming Lin,Frequency selection method for FRF-based model updating, Journal of Sound and Vi-bration 278 (2004) 285–306
H AHMADIAN, J.E. MOTTERSHEAD, M. I. FRISWELL. REGULARISATION METHODS FOR FINITE ELEMENT MODEL UPDATING Mechanical Systems and Signal Processing (1998), 12(1), pp47-64
Lin, R.M. & Zhu, J. (2006). Model updating of damped structures using FRF data. Mechanical Systems andSignal Processing, 20, pp. 2200-2218.
A. Carminelli, G. Catania, B-Spline Shell Finite Element Updating By Means Of Vibration Measurements. Participation in the book Vibration Analysis, 2010, INTECH, ISBN: 978-953-7619-X-X (In press).
Piegl L. & Tiller, W. (1997). The NURBS Book, 2nd Edition. Springer-Verlag, ISBN 3-540-61545-8, New York, NY, USA.
Cook, R.D.; Malkus, D.S.; Plesha, M.E. & Witt, R.J. (1989). Concepts and applications of finite element analysis, J. Wiley & Sons, ISBN 0-471-35605-0, New York, NY, USA.
Carminelli, A. & Catania, G. (2009). PB-spline hybrid surface fitting technique. Proceedings of ASME IDETC/CIE 2009, pp.1-7, San Diego, California, USA, August 30-September 2, 2009.
Carminelli, A. & Catania, G. (2007). Free vibration analysis of double curvature thin walled structures by a B-spline fi-nite element approach. Proceedings of ASME IMECE 2007, pp. 1-7, Seattle (Washington), USA, 11-15 November 2007.
Reddy, J.N (2004). Mechanics of laminated composite plates and shells: theory and analysis, CRC Press, ISBN 9780849315923.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science + Business Media, LLC
About this paper
Cite this paper
Carminelli, A., Catania, G. (2011). B-spline laminate shell finite element updating by means of FRF measurements. In: Proulx, T. (eds) Modal Analysis Topics, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9299-4_10
Download citation
DOI: https://doi.org/10.1007/978-1-4419-9299-4_10
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-9298-7
Online ISBN: 978-1-4419-9299-4
eBook Packages: EngineeringEngineering (R0)