[1] Nikkhoo A, Rofooei F, Shadnam M (2007) Dynamic behavior and modal control of beams under moving mass. J Sound Vib 306(3-5): 712-724
[2] Stăncioiu D, Ouyang H, Mottershead JE (2008) Vibration of a beam excited by a moving oscillator considering separation and reattachment. J Sound Vib 310(4-5): 1128-1140
[3] Muscolino G, Palmeri A, Sofi A (2009) Absolute versus relative formulations of the moving oscillator problem. Int J Solids Struct 46(5): 1085-1094
[4] Kiani K, Nikkhoo A, Mehri B (2010) Assessing dynamic response of multispan viscoelastic thin beams under a moving mass via generalized moving least square method. Acta Mech Sin 26(5): 721-733
[5] Yang Y-B, Lin C, Yau J (2004) Extracting bridge frequencies from the dynamic response of a passing vehicle. J Sound Vib 272(3-5): 471-493
[6] Van Do VN, Ong TH, Thai CH (2017) Dynamic responses of Euler–Bernoulli beam subjected to moving vehicles using isogeometric approach. Appl Math Model 51:405-428
[7] Mofid M, Tehranchi A, Ostadhossein A (2010) On the viscoelastic beam subjected to moving mass. Adv Eng Softw 41(2): 240-247
[8] Yang Y, Zhang B, Wang T, Xu H, Wu Y (2019) Two-axle test vehicle for bridges: Theory and applications. Int J Mech Sci 152: 51-62
[9] Attar M (2012) A transfer matrix method for free vibration analysis and crack identification of stepped beams with multiple edge cracks and different boundary conditions. Int J Mech Sci 57(1): 19-33
[10] Moezi SA, Zakeri E, Zare A (2018) A generally modified cuckoo optimization algorithm for crack detection in cantilever Euler-Bernoulli beams. Precis Eng 52: 227-241
[11] Maghsoodi A, Ghadami A, Mirdamadi HR (2013) Multiple-crack damage detection in multi-step beams by a novel local flexibility-based damage index. J Sound Vib 332(2): 294-305
[12] Law S, Zhu X (2004) Dynamic behavior of damaged concrete bridge structures under moving vehicular loads. Eng Struct 26(9): 1279-1293
[13] Barad KH, Sharma D, Vyas V (2013) Crack detection in cantilever beam by frequency based method. Procedia Eng 51: 770-775
[14] Gillich G-R, Praisach Z-I (2014) Modal identification and damage detection in beam-like structures using the power spectrum and time–frequency analysis. Signal Processing 96: 29-44
[15] Khnaijar A, Benamar R (2017) A new model for beam crack detection and localization using a discrete model. Eng Struct 150: 221-230
[16] Nguyen KV (2014) Mode shapes analysis of a cracked beam and its application for crack detection. J Sound Vib 333(3): 848-872
[17] Oshima Y, Yamamoto K, Sugiura K (2014) Damage assessment of a bridge based on mode shapes estimated by responses of passing vehicles. Smart Struct Syst 13(5): 731-753
[18] Altunışık AC, Okur FY, Kahya V (2017) Automated model updating of multiple cracked cantilever beams for damage detection. J Constr Steel Res 138: 499-512
[19] Schommer S, Nguyen VH, Maas S, Zürbes A (2017) Model updating for structural health monitoring using static and dynamic measurements. Procedia Eng 199: 2146-2153
[20] Mcgetrick P, Kim C, editors (2012) Wavelet based damage detection approach for bridge structures utilising vehicle vibration. GJBS09
[21] Ding K, Chen TP, editors (2013) Study on damage detection of bridge based on wavelet multi-scale analysis. Adv Mat Res Trans Tech Publ.
[22] Huang NE, Shen Z, Long SR, Wu MC, Shih HH, Zheng Q, et al (1998) The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc Math Phys Eng Sci 454(1971): 903-995.
[23] Roveri N, Carcaterra A (2012) Damage detection in structures under traveling loads by Hilbert–Huang transform. Mech Syst Signal Process 28: 128-144
[24] Nikkhoo A, Karegar H, Mohammadi RK, Hejazi F, editors (2020) Improving the performance of the autoregressive method in modal identification of output-only systems using the empirical mode decomposition. Structures, Elsevier.
[25] Nikkhoo A, Karegar H, Karami Mohammadi R (2021) Improving the performance of the autoregressive method in modal identification of output-only systems using Hilbert vibration decomposition method. Sharif Journal of Civil Engineering.
[26] Nikkhoo A, Karegar H, Karami Mohammadi R, Hajirasouliha I (2020) An acceleration- based approach for crack localisation in beams subjected to moving oscillators. J Vib Control: 1077546320929821
[27] Lin HP, Chang SC, Wu J-D (2002) Beam vibrations with an arbitrary number of cracks. J Sound Vib 258(5): 987-99.
[28] Zhang Q-L, Vrouwenvelder A, Wardenier J (2001) Numerical simulation of train–bridge interactive dynamics. Comput Struct 79(10): 1059-1075.
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