Abstract
A finite element model calibration procedure that uses frequency response function data and relies on damping equalization is presented. In this, the dampings of the finite element model and the corresponding experimental model are set equal before calibration. The damping equalization is made to avoid the mode pairing problem that normally needs to be solved in other model updating procedures. It is demonstrated that one particular use of frequency response data gives a calibration deviation metric that is smooth in the variation of model parameters and give a large radius of convergence to the calibration minimum. The method is combined with model reduction for increased speed and employs a minimizing procedure that employs randomized multiple starting points in the parameter space to get to the calibration solution. The performance of the calibration procedure is demonstrated by two numerical examples.
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References
Hasselman TK, Coppolino RN, Zimmerman DC (2000) Criteria for modeling accuracy—a state-of-the-practice survey. 18th IMAC conference, San Antonio, TX
NASA (1996) Loads analysis of spacecraft and payloads. NASA report STD-5002
DoD (1999) Test requirements for launch, upper stage, and space vehicles. DoD handbook-340A (USAF), vol. II
Sarkar A, Ghanem R (2002) Mid-frequency structural dynamics with parameter uncertainty. Comput Methods Appl Mech Eng 191:47–48
Sarkar A, Ghanem R (2003) A substructure approach for the midfrequency vibration of stochastic systems. J Acoust Soc Am 113(4):1922–1934
Hasselman T, Anderson M, Lai YC (1998) Linking FEA and SEA by Principal Component Analysis, 16th IMAC conference, Santa Barbara, CA
Grafe H (1998) Model updating of large structural dynamics models using measured response functions. PhD thesis, Imperial College, London, UK
Larsson P-O, Sas P (1992) Model updating based on forced vibration testing using numerically stable formulations. 10th IMAC conference, San Diego, CA
Gordis JH (1993) Spatial, frequency domain updating of linear structural dynamic models. 34th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference
Schultz MJ, Pai PF, Abdelnaser AS (1996) Frequency response function assignment technique for structural damage identification. 14th IMAC conference, Dearborn, MI
Rad SZ (1997) Methods for updating numerical models in structural dynamics. PhD thesis, University of London, London, UK
Thyagarajan SK, Schultz MJ, Pai PF (1998) Detecting structural damage using frequency response functions. J Sound Vib 210:1029–1042
Zimmerman DC, Simmermacher T, Kaouk M (1995) Structural damage detection using frequency response functions. 13th IMAC conference, Nashville, TN
Nauerz A, Fritzen C (2001) Model based damage identification using output spectral densities. ASME J Dyn Syst Meas Control 123:691–698
Balmès E (1993) A finite element updating procedure using frequency response functions—application to the MIT/SERC interferometer testbed. 11th IMAC conference
Herendeen DL, Woo L, Hasselman TK, Zimmerman DC (1998) Analysis-test correlation and model updating of dynamic systems using MDO software tools. 7th AIAA/USAF/ NASA/ISSMO symposium on multidisciplinary analysis and optimization, St. Louis, MO
Dascotte E, Strobbe J (1999) Updating finite element models using FRF correlation functions. 17th IMAC conference, Kissimmee, FL
Lin RM, Ewins DJ (1994) Analytical model improvement using frequency response functions. Mech Syst Signal Process 8(4):285–297
Lammens S (1995) Frequency based validation of structural finite element models. PhD thesis, Katholieke Universiteit Leuven, Belgium
Babuska V, Carter D, Lane S, Lacy S (2005) FRF correlation and error metrics for plant identification. 46th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Austin, TX
Craig RR Jr, Kurdila AJ (2006) Fundamentals of structural dynamics. Wiley, Hoboken, NJ
Dennis JE, Schnabel RB (1996) Numerical methods for unconstrained optimization and nonlinear equations. SIAM, Philadelphia, PA
Ljung L (1987) System identification—theory for the user. Prentice Hall, Englewood Cliffs, NJ
Kozak MT, Comert MD, Ozguven HN (2007) A model updating routine on the minimization of a new frequency response index for error localization. 25th IMAC conference, Orlando, FL
Kammer DC, Nimityongskul S (2009) Frequency band averaging of spectral densities for updating finite element models. ASME J Vib Acoust 131:041007
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We are grateful to Quartus Engineering, Inc., for generously letting us use and distribute the satellite FE model.
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© 2014 The Society for Experimental Mechanics, Inc.
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Abrahamsson, T.J.S., Kammer, D.C. (2014). FEM Calibration with FRF Damping Equalization. In: Atamturktur, H., Moaveni, B., Papadimitriou, C., Schoenherr, T. (eds) Model Validation and Uncertainty Quantification, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-04552-8_26
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DOI: https://doi.org/10.1007/978-3-319-04552-8_26
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