Finite element model updating of metallic and composite structures-A state of the art review

Abhishek Sharma; Ashok Kumar Bagha; Dinesh Kumar Shukla; Shashi Bahl; Abhishek Sharma; Ashok Kumar Bagha; Dinesh Kumar Shukla; Shashi Bahl

doi:10.3934/matersci.2021025

AIMS Materials Science

2021, Volume 8, Issue 3: 390-415. doi: 10.3934/matersci.2021025

Previous Article Next Article

Review Topical Sections

Finite element model updating of metallic and composite structures-A state of the art review

1.
Department of Mechanical Engineering, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar 144011, India
2.
Department of Mechanical Engineering, I.K. Gujral Punjab Technical University Hoshiarpur Campus, Hoshiarpur 146001, India

Received: 17 February 2021 Accepted: 24 May 2021 Published: 31 May 2021

Finite element model updating (FEMU) is a technique to improve the analytical finite element (FE) model of any structure from its experimental modal test data. The main purpose to apply FEMU on structures is to remove the uncertainties or errors present in the analytical FE model. The main objective of this paper is to present a review on the various FEMU techniques which can be applied to remove the uncertainties present in the FE model of the actual engineering structures. Applications of various FEMU techniques on the metallic and the composite structures have been discussed in this review paper. FEMU is applied on the metallic and the composite structures to remove the error present in their FE models. The main objective of the FEMU is to accurately predict the modal analysis characteristics such as the spatial-model, modal-model and the response model of the structures. The uncertainties present in the analytical or simulated FE model of any structure may be due to its material properties, dimensions and most probably due to the uncertainties present in the boundary conditions of the structure. However, to provide a sufficient strength to this review paper, the different updating methods are applied on the three degree of freedom spring mass system, on a 1-D aluminum beam, 2-D aluminum panel and on a graphite-epoxy composite material laminate. It is found that the updating algorithms are fast and reliable enough to remove error present in the numerical or simulated FE model of the structures and deliver the accurate estimation of the spatial-model, modal-model and response model of the different material structures.
- finite element model updating,
- direct updating method,
- composite structures,
- uncertainties,
- modal analysis,
- spatial-model
Citation: Abhishek Sharma, Ashok Kumar Bagha, Dinesh Kumar Shukla, Shashi Bahl. Finite element model updating of metallic and composite structures-A state of the art review[J]. AIMS Materials Science, 2021, 8(3): 390-415. doi: 10.3934/matersci.2021025

Related Papers:

Abstract

Finite element model updating (FEMU) is a technique to improve the analytical finite element (FE) model of any structure from its experimental modal test data. The main purpose to apply FEMU on structures is to remove the uncertainties or errors present in the analytical FE model. The main objective of this paper is to present a review on the various FEMU techniques which can be applied to remove the uncertainties present in the FE model of the actual engineering structures. Applications of various FEMU techniques on the metallic and the composite structures have been discussed in this review paper. FEMU is applied on the metallic and the composite structures to remove the error present in their FE models. The main objective of the FEMU is to accurately predict the modal analysis characteristics such as the spatial-model, modal-model and the response model of the structures. The uncertainties present in the analytical or simulated FE model of any structure may be due to its material properties, dimensions and most probably due to the uncertainties present in the boundary conditions of the structure. However, to provide a sufficient strength to this review paper, the different updating methods are applied on the three degree of freedom spring mass system, on a 1-D aluminum beam, 2-D aluminum panel and on a graphite-epoxy composite material laminate. It is found that the updating algorithms are fast and reliable enough to remove error present in the numerical or simulated FE model of the structures and deliver the accurate estimation of the spatial-model, modal-model and response model of the different material structures.

References

[1]	Esfandiari A, Bakhtiari-Nejad F, Sanayei M, et al. (2010) Structural finite element model updating using transfer function data. Comput Struct 88: 54-64.
[2]	Chen JC, Kuo CP, Garba J (1983) Direct structural parameter identification by modal test results, 24th Structures, Structural Dynamics and Materials Conference, American Institute of Aeronautics and Astronautics.
[3]	Cornwell P, Doebling SW, Farrar CR (1999) Application of the strain energy damage detection method to plate like structures. J Sound Vib 224: 359-374.
[4]	Stubbs N, Kim J, Farrar C (1995) Field verification of a nondestructive damage localization and severity estimation algorithm, The International Society for Optical Engineering, SPIE International Society for Optical, 2460: 210-218.
[5]	Modak S V, Kundra TK, Nakra BC (2002) Use of an updated finite element model for dynamic design. Mech Syst Signal Process 16: 303-322.
[6]	Modak S V, Kundra TK, Nakra BC (2000) Model updating using constrained optimization. Mech Res Commun 27: 543-551.
[7]	Modak S V, Kundra TK, Nakra BC (2002) Comparative study of model updating methods using simulated experimental data. Comput Struct 80: 437-447.
[8]	Lee J-H, Kim J (2001) Identification of damping matrices from measured frequency response function. J Sound Vib 240: 545-565.
[9]	Bais RS, Gupta AK, Nakra BC, et al. (2004) Studies in dynamic design of drilling machine using updated finite element models. Mech Mach Theory 39: 1307-1320.
[10]	Steenackers G, Guillaume P (2006) Finite element model updating taking into account the uncertainty on the modal parameters estimates. J Sound Vib 296: 919-934.
[11]	Montgomery DC (2006) Design and Analysis of Experiments, Hoboken, NJ, USA, John Wiley & amp; Sons, Inc.
[12]	Khuri AI, Cornell JA (2019) Response Surfaces: Designs and Analyses, CRC Press.
[13]	Lin RM, Zhu J (2007) Finite element model updating using vibration test data under base excitation. J Sound Vib 303: 596-613.
[14]	Arora V, Singh SP, Kundra TK (2009) Finite element model updating with damping identification. J Sound Vib 324: 1111-1123.
[15]	Collins JD, Hart GC, Hasselman TK, et al. (1974) Statistical Identification of Structures. AIAA J 12: 185-190.
[16]	Lin RM, Ewins DJ (1994) Analytical model improvement using frequency response functions. Mech Syst Signal Process 8: 437-458.
[17]	Pradhan S, Modak S V (2012) A method for damping matrix identification using frequency response data. Mech Syst Signal Process 33: 69-82.
[18]	Yuan Q (2013) Proximal-point method for finite element model updating problem. Mech Syst Signal Process 34: 47-56.
[19]	Seifi R, Abbasi K (2015) Friction coefficient estimation in shaft/bush interference using finite element model updating. Eng Fail Anal 57: 310-322.
[20]	Dongying H, Peiming S, Guoqiang Z, et al. (2011) Safety Evaluation of Marine Derrick Steel Structures Based on Dynamic Measurement and Updated Finite Element Model. Procedia Eng 26: 1891-1900.
[21]	Fu YZ, Lu ZR, Liu JK (2013) Damage identification in plates using finite element model updating in time domain. J Sound Vib 332: 7018-7032.
[22]	Narkis Y (1994) Identification of Crack Location in Vibrating Simply Supported Beams. J Sound Vib 172: 549-558.
[23]	Khiem NT, Lien T V (2004) Multi-crack detection for beam by the natural frequencies. J Sound Vib 273: 175-184.
[24]	Cawley P, Adams RD (1979) The location of defects in structures from measurements of natural frequencies. J Strain Anal Eng Des 14: 49-57.
[25]	Wang BS, He ZC (2007) Crack detection of arch dam using statistical neural network based on the reductions of natural frequencies. J Sound Vib 302: 1037-1047.
[26]	Stubbs N, Kim J-T (1996) Damage localization in structures without baseline modal parameters. AIAA J 34: 1644-1649.
[27]	Pandey AK, Biswas M, Samman MM (1991) Damage detection from changes in curvature mode shapes. J Sound Vib 145: 321-332.
[28]	Hadjileontiadis LJ, Douka E, Trochidis A (2005) Fractal dimension analysis for crack identification in beam structures. Mech Syst Signal Process 19: 659-674.
[29]	Wang J, Qiao P (2008) On irregularity-based damage detection method for cracked beams. Int J Solids Struct 45: 688-704.
[30]	Doebling SW, Peterson LD, Alvin KF (1996) Estimation of reciprocal residual flexibility from experimental modal data. AIAA J 34: 1678-1685.
[31]	Jaishi B, Ren W-X (2006) Damage detection by finite element model updating using modal flexibility residual. J Sound Vib 290: 369-387.
[32]	Pandey AK, Biswas M (1994) Damage Detection in Structures Using Changes in Flexibility. J Sound Vib 169: 3-17.
[33]	Liu X, Lieven NAJ, Escamilla-Ambrosio PJ (2009) Frequency response function shape-based methods for structural damage localisation. Mech Syst Signal Process 23: 1243-1259.
[34]	Huang Q, Xu YL, Li JC, et al. (2012) Structural damage detection of controlled building structures using frequency response functions. J Sound Vib 331: 3476-3492.
[35]	Faverjon B, Sinou J-J (2008) Robust damage assessment of multiple cracks based on the frequency response function and the Constitutive Relation Error updating method. J Sound Vib 312: 821-837.
[36]	Owolabi GM, Swamidas ASJ, Seshadri R (2003) Crack detection in beams using changes in frequencies and amplitudes of frequency response functions. J Sound Vib 265: 1-22.
[37]	Li YY, Cheng L, Yam LH, et al. (2002) Identification of damage locations for plate-like structures using damage sensitive indices: strain modal approach. Comput Struct 80: 1881-1894.
[38]	Yam LH, Li YY, Wong WO (2002) Sensitivity studies of parameters for damage detection of plate-like structures using static and dynamic approaches. Eng Struct 24: 1465-1475.
[39]	Wu D, Law SS (2005) Sensitivity of Uniform Load Surface Curvature for Damage Identification in Plate Structures. J Vib Acoust 127: 84-92. doi: 10.1115/1.1857918
[40]	Chen H-P, Maung TS (2014) Regularised finite element model updating using measured incomplete modal data. J Sound Vib 333: 5566-5582. doi: 10.1016/j.jsv.2014.05.051
[41]	Min C-H, Hong S, Park S-Y, et al. (2014) Sensitivity-based finite element model updating with natural frequencies and zero frequencies for damped beam structures. Int J Nav Archit Ocean Eng 6: 904-921. doi: 10.2478/IJNAOE-2013-0221
[42]	Adhikari S, Woodhouse J (2001) Identification of damping: Part 1, Viscous Damping. J Sound Vib 243: 43-61. doi: 10.1006/jsvi.2000.3391
[43]	Ozgen GO, Kim JH (2007) Direct identification and expansion of damping matrix for experimental-analytical hybrid modeling. J Sound Vib 308: 348-372. doi: 10.1016/j.jsv.2007.07.044
[44]	Modak S V (2014) Model updating using uncorrelated modes. J Sound Vib 333: 2297-2322. doi: 10.1016/j.jsv.2014.01.013
[45]	Sehgal S, Kumar H (2016) Structural Dynamic Model Updating Techniques: A State of the Art Review. Arch Comput Methods Eng 23: 515-533. doi: 10.1007/s11831-015-9150-3
[46]	Park Y-S, Kim S, Kim N, et al. (2017) Finite element model updating considering boundary conditions using neural networks. Eng Struct 150: 511-519. doi: 10.1016/j.engstruct.2017.07.032
[47]	Kang Y, Qiu Z, Zhang H, et al. (2021) Model updating for rotor-discs system and its application in dynamic coefficients identification of journal bearings. Measurement 173: 108645. doi: 10.1016/j.measurement.2020.108645
[48]	Ewins DJ (2000) Modal Testing: Theory, Practice and Application, 2nd Edition, Baldock, Hertfordshire, England; Philadelphia, PA: Research Studies Press, 2000.
[49]	Arora V (2011) Comparative study of finite element model updating methods. J Vib Control 17: 2023-2039. doi: 10.1177/1077546310395967
[50]	Chandrupatla TR, Belegundu AD (1991) Introduction to finite elements in engineering, Englewood Cliffs, N.J.: Prentice Hall.
[51]	Fahy F, Gardonio P (2007) Sound and Structural Vibration Radiation, Transmission and Response. Noise Control Eng J 55: 373-374. doi: 10.3397/1.2741307
[52]	Bahl S (2020) Axisymmetric finite element analysis of single fiber push-out test for stainless steel wire reinforced aluminum matrix composites. Mater Today Proc 28: 1605-1611. doi: 10.1016/j.matpr.2020.04.848
[53]	Bahl S, Bagha AK (2021) Finite element modeling and simulation of the fiber-matrix interface in fiber reinforced metal matrix composites. Mater Today Proc 39: 70-76. doi: 10.1016/j.matpr.2020.06.160
[54]	Bahl S, Singh T, Kumar V, et al. (2021) A systematic review on recent progress in advanced joining techniques of the lightweight materials. AIMS Mater Sci 8: 62-81. doi: 10.3934/matersci.2021005
[55]	Bahl S (2021) Fiber reinforced metal matrix composites - a review. Mater Today Proc 39: 317-323. doi: 10.1016/j.matpr.2020.07.423
[56]	Bagha AK, Bahl S (2021) Finite element analysis of VGCF/pp reinforced square representative volume element to predict its mechanical properties for different loadings. Mater Today Proc 39: 54-59. doi: 10.1016/j.matpr.2020.06.108
[57]	Bahl S (2020) Numerical simulation of the debonding behavior of fiber reinforced metal matrix composites. Mater Today Proc 28: 1328-1334. doi: 10.1016/j.matpr.2020.04.598
[58]	Saini MK, Bagha AK, Kumar S, et al. (2021) Finite element analysis for predicting the vibration characteristics of natural fiber reinforced epoxy composites. Mater Today Proc 41: 223-227. doi: 10.1016/j.matpr.2020.08.717
[59]	Friswell M. I, Mottershead J. E (1995) Finite Element Model Updating in Structural Dynamics, Kluwer Academic Publishers.
[60]	Cunha J, Piranda J (1999) Application of model updating techniques in dynamics for the identification of elastic constants of composite materials. Compos Part B Eng 30: 79-85. doi: 10.1016/S1359-8368(98)00050-X
[61]	Lauwagie T, Sol H, Heylen W, et al. (2004) Determination of the in-plane elastic properties of the different layers of laminated plates by means of vibration testing and model updating. J Sound Vib 274: 529-546. doi: 10.1016/j.jsv.2003.05.023
[62]	Jaishi B, Ren W-X (2007) Finite element model updating based on eigenvalue and strain energy residuals using multiobjective optimisation technique. Mech Syst Signal Process 21: 2295-2317. doi: 10.1016/j.ymssp.2006.09.008
[63]	Rahmani B, Mortazavi F, Villemure I, et al. (2013) A new approach to inverse identification of mechanical properties of composite materials: Regularized model updating. Compos Struct 105: 116-125. doi: 10.1016/j.compstruct.2013.04.025
[64]	Mishra AK, Chakraborty S (2015) Development of a finite element model updating technique for estimation of constituent level elastic parameters of FRP plates. Appl Math Comput 258: 84-94.
[65]	Goni SA, Mondal S, Chakraborty S (2015) A new gradient based step size controlled inverse eigen sensitivity algorithm for identification of material and boundary parameters of plates. J Vib Control 23: 2619-2634. doi: 10.1177/1077546315619076
[66]	Mishra AK, Chakraborty S (2016) Inverse detection of constituent level elastic parameters of FRP composite panels with elastic boundaries using finite element model updating. Ocean Eng 111: 358-368. doi: 10.1016/j.oceaneng.2015.11.003
[67]	Polanco NR, May G, Hernandez EM (2016) Finite element model updating of semi-composite bridge decks using operational acceleration measurements. Eng Struct 126: 264-277. doi: 10.1016/j.engstruct.2016.07.057
[68]	Wang JT, Wang CJ, Zhao JP (2017) Frequency response function-based model updating using Kriging model. Mech Syst Signal Process 87: 218-228. doi: 10.1016/j.ymssp.2016.10.023
[69]	Adel F, Shokrollahi S, Jamal-Omidi M, et al. (2017) A model updating method for hybrid composite/aluminum bolted joints using modal test data. J Sound Vib 396: 172-185. doi: 10.1016/j.jsv.2017.02.035
[70]	Mishra AK, Mohammed A, Chakraborty S (2018) Improved numerical modelling of fiber reinforced plastics I-beam from experimental modal testing and finite element model updating. Int J Acoust Vib 23: 26-34.
[71]	Panwar V, Gupta P, Bagha AK, et al. (2018) A Review on studies of Finite Element Model Updating and Updating of Composite Materials. Mater Today Proc 5: 27912-27918. doi: 10.1016/j.matpr.2018.10.030
[72]	Yaacob RM, Hashim MAH, Sani MSM (2019) Finite element modeling and updating of the composite plate structure. J Phys Conf Ser 1262.
[73]	Larbi W, Deü J-F, Ohayon R (2012) Finite element formulation of smart piezoelectric composite plates coupled with acoustic fluid. Compos Struct 94: 501-509. doi: 10.1016/j.compstruct.2011.08.010

Reader Comments

Your name:*

Email:*
© 2021 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)