References
- Fan W, Qiao P. Vibration-based damage identification methods: a review and comparative study. Struct Health Monit. 2011;10:83–111. doi: 10.1177/1475921710365419
- Di Paola M, Bilello C. An integral equation for damage identification of Euler-Bernoulli beams under static loads. J Eng Mech. 2004;130:225–234. doi: 10.1061/(ASCE)0733-9399(2004)130:2(225)
- Abdo MA-B. Parametric study of using only static response in structural damage detection. Eng Struct. 2012;34:124–131. doi: 10.1016/j.engstruct.2011.09.027
- Huynh D, He J, Tran D. Damage location vector: a non-destructive structural damage detection technique. Comput Struct. 2005;83:2353–2367. doi: 10.1016/j.compstruc.2005.03.029
- Sung S, Jung H, Jung H. Damage detection for beam-like structures using the normalized curvature of a uniform load surface. J Sound Vib. 2013;332:1501–1519. doi: 10.1016/j.jsv.2012.11.016
- Abdo M-B, Hori M. A numerical study of structural damage detection using changes in the rotation of mode shapes. J Sound Vib. 2002;251:227–239. doi: 10.1006/jsvi.2001.3989
- Cornwell P, Doebling SW, Farrar CR. Application of the strain energy damage detection method to plate-like structures. J Sound Vib. 1999;224:359–374. doi: 10.1006/jsvi.1999.2163
- Debruyne S, Vandepitte D, Moens D. Identification of design parameter variability of honeycomb sandwich beams from a study of limited available experimental dynamic structural response data. Comput Struct. 2015;146:197–213. doi: 10.1016/j.compstruc.2013.09.004
- Greco A, Pau A. Damage identification in Euler frames. Comput Struct. 2012;92–93:328–336. doi: 10.1016/j.compstruc.2011.10.007
- Pandey A, Biswas M. Damage detection in structures using changes in flexibility. J Sound Vib. 1994;169:3–17. doi: 10.1006/jsvi.1994.1002
- Pandey A, Biswas M, Samman M. Damage detection from changes in curvature mode shapes. J Sound Vib. 1991;145:321–332. doi: 10.1016/0022-460X(91)90595-B
- Salawu O. Detection of structural damage through changes in frequency: a review. Eng Struct. 1997;19:718–723. doi: 10.1016/S0141-0296(96)00149-6
- Banan MR, Banan MR, Hjelmstad K. Parameter estimation of structures from static response. I. computational aspects. J Struct Eng. 1994;120:3243–3258. doi: 10.1061/(ASCE)0733-9445(1994)120:11(3243)
- Banan MR, Banan MR, Hjelmstad KD. Parameter Estimation of structures from static response. II: numerical simulation studies. J Struct Eng. 1994;120:3259–3283. doi: 10.1061/(ASCE)0733-9445(1994)120:11(3259)
- Viola E, Bocchini P. Non-destructive parametric system identification and damage detection in truss structures by static tests. Struct Infrastruct Eng. 2013;9:384–402. doi: 10.1080/15732479.2011.560164
- Ghrib F, Li L, Wilbur P. Damage identification of Euler–Bernoulli beams using static responses. J Eng Mech. 2012;138:405–415. doi: 10.1061/(ASCE)EM.1943-7889.0000345
- Avril S, Pierron F. General framework for the identification of constitutive parameters from full-field measurements in linear elasticity. Int J Solids Struct. 2007;44:4978–5002. doi: 10.1016/j.ijsolstr.2006.12.018
- Yang Q, Sun B. Structural damage localization and quantification using static test data. Struct Health Monitor. 2011;10:381–389. doi: 10.1177/1475921710379517
- Rezaiee-Pajand M, Kazemiyan MS, Aftabi SA. Static damage identification of 3D and 2D frames. Mech Based Des Struct Mach. 2014;42:70–96. doi: 10.1080/15397734.2013.830534
- Caddemi S, Greco A. The influence of instrumental errors on the static identification of damage parameters for elastic beams. Comput Struct. 2006;84:1696–1708. doi: 10.1016/j.compstruc.2006.03.010
- Bakhtiari-Nejad F, Rahai A, Esfandiari A. A structural damage detection method using static noisy data. Eng Struct. 2005;27:1784–1793. doi: 10.1016/j.engstruct.2005.04.019
- Ladevèze P, Chouaki A. Application of a posteriori error estimation for structural model updating. Inverse Probl. 1999;15:49–58. doi: 10.1088/0266-5611/15/1/009
- Geymonat G, Pagano S. Identification of mechanical properties by displacement field measurement: A variational approach. Meccanica. 2003;38:535–545. doi: 10.1023/A:1024766911435
- Florentin E, Lubineau G. Identification of the parameters of an elastic material model using the constitutive equation gap method. Comput Mech. 2010;46:521–531. doi: 10.1007/s00466-010-0496-y
- Florentin E, Lubineau G. Using constitutive equation gap method for identification of elastic material parameters: technical insights and illustrations. Int J Interact Des Manuf. 2011;5:227–234. doi: 10.1007/s12008-011-0129-5
- Lubineau G. A goal-oriented field measurement filtering technique for the identification of material model parameters. Comput Mech. 2009;44:591–603. doi: 10.1007/s00466-009-0392-5
- Moussawi A, Lubineau G, Florentin E, Blaysat B. The constitutive compatibility method for identification of material parameters based on full-field measurements. Comput Methods Appl Mech Eng. 2013;265:1–14. doi: 10.1016/j.cma.2013.06.003
- Maunder E, de Almeida JM, Ramsay A. A general formulation of equilibrium macro-elements with control of spurious kinematic modes: the exorcism of an old curse. Int J Numer Method Eng. 1996;39:3175–3194. doi: 10.1002/(SICI)1097-0207(19960930)39:18<3175::AID-NME978>3.0.CO;2-3
- Wang L, Zhong H. A traction-based equilibrium finite element free from spurious kinematic modes for linear elasticity problems. Int J Numer Methods Eng. 2014;99:763–788. doi: 10.1002/nme.4701
- Sedaghati R, Suleman A. Force method revisited. AIAA J. 2003;41:957–966. doi: 10.2514/2.2033
- Bonnet M, Constantinescu A. Inverse problems in elasticity. Inverse Probl. 2005;21:R1–R50. doi: 10.1088/0266-5611/21/2/R01
- Celebi M. GPS in dynamic monitoring of long-period structures. Soil Dyn Earthq Eng. 2000;20:477–483. doi: 10.1016/S0267-7261(00)00094-4
- Nickitopoulou A, Protopsalti K, Stiros S. Monitoring dynamic and quasi-static deformations of large flexible engineering structures with GPS: accuracy, limitations and promises. Eng Struct. 2006;28:1471–1482. doi: 10.1016/j.engstruct.2006.02.001
- Chen F, Brown GM, Song MM. Overview of three-dimensional shape measurement using optical methods. Opt Eng. 2000;39:10–22. doi: 10.1117/1.602438
- Ekstrom MP. Digital image processing techniques. New York (NY): Academic Press; 2012.
- Choi SW, Kim BR, Lee HM, Kim Y, Park HS. A deformed shape monitoring model for building structures based on a 2D laser scanner. Sensors (Basel). 2013;13:6746–6758. doi: 10.3390/s130506746
- Park HS, Lee HM, Adeli H, Lee I. A new approach for health monitoring of structures: Terrestrial laser scanning. Comput-Aided Civ Infrastruct Eng. 2007;22:19–30. doi: 10.1111/j.1467-8667.2006.00466.x
- Nassif HH, Gindy M, Davis J. Comparison of laser Doppler vibrometer with contact sensors for monitoring bridge deflection and vibration. NDT E Int. 2005;38:213–218. doi: 10.1016/j.ndteint.2004.06.012
- Hild F, Roux S. Digital image correlation: from displacement measurement to identification of elastic properties – a review. Strain. 2006;42:69–80. doi: 10.1111/j.1475-1305.2006.00258.x
- Jiang R, Jáuregui DV, White KR. Close-range photogrammetry applications in bridge measurement: literature review. Measurement ( Mahwah N J). 2008;41:823–834.
- Patsias S, Staszewski WJ. Damage detection using optical measurements and Wavelets. Struct Health Monit. 2002;1:5–22. doi: 10.1177/147592170200100102
- Ji YF, Chang CC. Nontarget image-based technique for small cable vibration measurement. J Bridge Eng. 2008;13:34–42. doi: 10.1061/(ASCE)1084-0702(2008)13:1(34)
- Morlier J, Michon G. Virtual Vibration measurement using KLT motion tracking algorithm. J Dyn Syst Meas Control. 2010;132:011003. doi: 10.1115/1.4000070
- Park J-W, Lee J-J, Jung H-J, et al. Vision-based displacement measurement method for high-rise building structures using partitioning approach. NDT E Int. 2010;43:642–647. doi: 10.1016/j.ndteint.2010.06.009
- Fu G, Moosa AG. An optical approach to structural displacement measurement and its application. J Eng Mech. 2002;128:511–520. doi: 10.1061/(ASCE)0733-9399(2002)128:5(511)
- Choi H-S, Cheung J-H, Kim S-H, et al. Structural dynamic displacement vision system using digital image processing. NDT E Int. 2011;44:597–608. doi: 10.1016/j.ndteint.2011.06.003
- Jurjo DLBR, Magluta C, Roitman N, et al. Experimental methodology for the dynamic analysis of slender structures based on digital image processing techniques. Mech Syst Signal Process. 2010;24:1369–1382. doi: 10.1016/j.ymssp.2009.12.006
- Kim S-W, Kim N-S. Multi-point displacement response measurement of Civil Infrastructures using digital image processing. Procedia Eng. 2011;14:195–203. doi: 10.1016/j.proeng.2011.07.023
- Lee JJ, Shinozuka M. A vision-based system for remote sensing of bridge displacement. NDT E Int. 2006;39:425–431. doi: 10.1016/j.ndteint.2005.12.003
- Nakamura S. GPS measurement of wind-induced suspension bridge girder displacements. J Struct Eng-Asce. 2000;126:1413–1419. doi: 10.1061/(ASCE)0733-9445(2000)126:12(1413)
- Park SW, Park HS, Kim JH, et al. 3D displacement measurement model for health monitoring of structures using a motion capture system. Measurement (Mahwah NJ). 2015;59:352–362. doi: 10.1016/j.measurement.2014.09.063
- Wahbeh AM, Caffrey JP, Masri SF. A vision-based approach for the direct measurement of displacements in vibrating systems. Smart Mater Struct. 2003;12:785–794. doi: 10.1088/0964-1726/12/5/016
- Olaszek P. Investigation of the dynamic characteristic of bridge structures using a computer vision method. Measurement ( Mahwah NJ). 1999;25:227–236. Epub 236.
- Ladeveze P, Leguillon D. Error estimate procedure in the finite element method and applications. SIAM J Numer Anal. 1983;20:485–509. doi: 10.1137/0720033
- Charbonnel P-E, Ladevèze P, Louf F, et al. A robust CRE-based approach for model updating using in situ measurements. Comput Struct. 2013;129:63–73. doi: 10.1016/j.compstruc.2013.08.002
- Widlak T, Scherzer O. Stability in the linearized problem of quantitative elastography. Inverse Probl. 2015;31(3):035005. doi: 10.1088/0266-5611/31/3/035005
- Lee HM, Park HS. Gage-Free Stress Estimation of a beam-like structure based on Terrestrial laser scanning. Comput-Aided Civ Infrastruct Eng. 2011;26:647–658. doi: 10.1111/j.1467-8667.2011.00723.x
- Wang X, Hu N, Fukunaga H, et al. Structural damage identification using static test data and changes in frequencies. Eng Struct. 2001;23:610–621. doi: 10.1016/S0141-0296(00)00086-9
- Knowles I. Uniqueness for an elliptic inverse problem. SIAM J Appl Math. 1999;59:1356–1370. doi: 10.1137/S0036139997327782
- Knowles I Parameter identification for elliptic problems. J Comput Appl Math. 2001;131:175–194. doi: 10.1016/S0377-0427(00)00275-2
- Kohn RV, Lowe BD. A variational method for parameter identification. RAIRO-Modelisation Mathématique et Analyse Numérique. 1988;22:119–158.
- Richter GR. An inverse problem for the steady state diffusion equation. SIAM J Appl Math. 1981;41:210–221. doi: 10.1137/0141016
- Kolda TG, Lewis RM, Torczon V. Optimization by direct search: New perspectives on some classical and modern methods. SIAM Rev. 2003;45:385–482. doi: 10.1137/S003614450242889