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http://dx.doi.org/10.12989/smm.2018.5.3.417

Investigation of the accuracy of different finite element model reduction techniques  

Ghannadi, Parsa (Department of Civil Engineering, Ahar Branch, Islamic Azad University)
Kourehli, Seyed Sina (Department of Civil Engineering, Ahar Branch, Islamic Azad University)
Publication Information
Structural Monitoring and Maintenance / v.5, no.3, 2018 , pp. 417-428 More about this Journal
Abstract
In this paper, various model reduction methods were assessed using a shear frame, plane and space truss structures. Each of the structures is one-dimensional, two-dimensional and three-dimensional, respectively. Three scenarios of poor, better, and the best were considered for each of the structures in which 25%, 40%, and 60% of the total degrees of freedom (DOFs) were measured in each of them, respectively. Natural frequencies of the full and reduced order structures were compared in each of the numerical examples to assess the performance of model reduction methods. Generally, it was found that system equivalent reduction expansion process (SEREP) provides full accuracy in the model reduction in all of the numerical examples and scenarios. Iterated improved reduced system (IIRS) was the second-best, providing acceptable results and lower error in higher modes in comparison to the improved reduced system (IRS) method. Although the Guyan's method has very low levels of accuracy. Structures were classified with the excitation frequency. High-frequency structures compared to low-frequency structures have been poor performance in the model reduction methods (Guyan, IRS, and IIRS).
Keywords
Model reduction method; Guyan; IRS; IIRS; SEREP;
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1 Avitabile, P. (2005), "Model reduction and model expansion and their applications-part 1 theory", Proceedings of the 23rd International Modal Analysis Conference, Orlando, Jan.
2 Boo, S.H. and Lee, P.S. (2017), "A dynamic condensation method using algebraic substructuring", Int. J. Numer. Meth. Eng., 109(2), 1701-1720.   DOI
3 Bureerat, S. and Pholdee, N. (2018), "Inverse problem based differential evolution for efficient structural health monitoring of trusses", Appl. Soft Comput., 66, 462-472.   DOI
4 Chopra, A.K. (2012), Dynamics of Structures: Theory and Applications to Earthquake Engineering. Prentice Hall, Boston, Massachusetts, USA.
5 Dinh-Cong, D., Dang-Trung, H. and Nguyen-Thoi, T. (2018), "An efficient approach for optimal sensor placement and damage identification in laminated composite structures", Adv. Eng. Softw.., 119, 48-59.   DOI
6 Friswell, M., Penny, J. and Garvey, S. (2001), "Model reduction for structures with damping and gyroscopic effects", Proceedings of the international seminar on modal analysis, Belgium.
7 Friswell, M., Garvey, S. and Penny, J. (1997), "Using iterated IRS model reduction techniques to calculate eigensolutions", Proceedings- SPIE the International Society for Optical Engineering, February.
8 Guyan, R.J. (1965), "Reduction of stiffness and mass matrices", AIAA J., 3(2), 380-380.   DOI
9 Humar, J., Bagchi, A., and Xu, H. (2006), "Performance of vibration-based techniques for the identification of structural damage", Struct. Health Monit., 5(3), 215-241.   DOI
10 Jung, Y.K., Qu, Z.Q. and Jung, D.S. (2004), "Structural dynamic condensation method with an iterative scheme", KSCE J. Civil Eng., 8(2), 205-211.   DOI
11 Kourehli, S.S. (2018), "Damage identification of structures using second-order approximation of Neumann series expansion", J. Rehab. Civil Eng., doi: http://dx.doi.org/10.22075/jrce.2018.13348.1242 .
12 Kourehli, S.S. (2016), "LS-SVM regression for structural damage diagnosis using the iterated improved reduction system", Int. J. Struct. Stab. Dyn., 16(6), 1-16.   DOI
13 Koutsovasilis, P. and Beitelschmidt M. (2008), "Comparison of model reduction techniques for large mechanical systems", Multibody Syst. Dyn., 20(2), 111-128.   DOI
14 Li, D. (2017), "Discussion of model reduction and reservation", Procedia Eng., 188, 354-361.   DOI
15 MATLAB (2018), MATLAB Documentation.; MathWorks, Massachusetts,USA.
16 Roy, K. (2017), "Structural damage identification using mode shape slope and curvature", J. Eng. Mech., 143(9), 1-12.
17 Naderpour, H. and Fakharian, P. (2016), "A synthesis of peak picking method and wavelet packet transform for structural modal identification", KSCE J. Civil Eng., 20(7), 2859-2867.   DOI
18 O'Callahan, J., Avitabile, P. and Riemer, R. (1989), "System equivalent reduction expansion process (SEREP)", Proceedings of the 7th Inter. Modal Analysis Conf.
19 O'Callahan, J.C. (1989), "A procedure for an improved reduced system (IRS) model", Proceedings of the 7th IMAC, Las Vegas, November.
20 Wikiversity (2018), Team Negative Damping (3): Report 5, Wikimedia community, San Francisco, California, USA, https://en.wikiversity.org/wiki/User:Eml4507.s13.team3.steiner/Team_Negative_Damping_(3):_Report_5
21 Zare Hosseinzadeh, A., Ghodrati Amiri, G. and Seyed Razzaghi, S.A. (2017), "Model-based identification of damage from sparse sensor measurements using Neumann series expansion", Inverse Probl. Sci. Eng., 25(2), 239-259.   DOI
22 Zhu, L., Fu, Y., Chow, R., Spencer, B.F., Park, J.W. and Mechitov, K. (2018), "Development of a High-Sensitivity Wireless Accelerometer for Structural Health Monitoring", Sensors, 18(1), 1-16.   DOI