Abstract
Background
Modal parameters of a quayside container crane can reflect the vibration performance of a structure at work. Identifying these parameters through modal tests can be used to improve the design scheme, evaluate performance, and detect damage.
Method
This paper introduces the process of modal parameter identification based on data-driven stochastic subspace identification (SSI). The proposed algorithm is programmed based on the MATLAB platform. The effectiveness of the algorithm is verified by a numerical three-degree-of-freedom vibration model. In this paper, the overall structure of a quayside container crane was modally tested for the first time under ambient excitation. The test scheme using the mobile measurement method is introduced in detail. The signal data collected by the modal test are used as the input data of the data-driven SSI, and the first seven natural frequencies, damping ratios, and mode shapes of the crane are identified successfully. Furthermore, the finite element model of the crane is established with ANSYS, and the first seven frequencies and mode shapes are also obtained.
Results and Conclusions
By comparing the results of the two methods, it can be found that the parameters identified by the proposed algorithm have high accuracy. The proposed method can be applied to the health monitoring system of the quayside container crane.
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References
Feau C, Politopoulos I, Kamaris GS, Mathey C, Chaudat T, Nahas G (2015) Experimental and numerical investigation of the earthquake response of crane bridges. Eng Struct 84:89–101. https://doi.org/10.1016/j.engstruct.2014.11.022
Peeters B, De Roeck G (2001) One-year monitoring of the Z24-Bridge: environmental effects versus damage events. Earthq Eng Struct Dynam 30:149–171. https://doi.org/10.1002/1096-9845(200102)30:2%3c149::Aid-eqe1%3e3.0.Co;2-z
Grande E, Imbimbo M (2012) A data-driven approach for damage detection: an application to the ASCE steel benchmark structure. J Civil Struct Health Monit 2:73–85. https://doi.org/10.1007/s13349-012-0018-z
Hung CF, Ko WJ (2002) Identification of modal parameters from measured input and output data using a vector backward autoregressive model. J Sound Vib 256:249–270. https://doi.org/10.1006/jsvi.2001.4205
Ren WX, Peng XL, Lin YQ (2005) Experimental and analytical studies on dynamic characteristics of a large span cable-stayed bridge. Eng Struct 27:535–548. https://doi.org/10.1016/j.engstruct.2004.11.013
Kraemer P, Friedmann H (2015) Vibration-based structural health monitoring for offshore wind turbines—experimental validation of stochastic subspace algorithms. Wind Struct 21:693–707. https://doi.org/10.12989/was.2015.21.6.693
Reynders E, Roeck GD (2008) Reference-based combined deterministic–stochastic subspace identification for experimental and operational modal analysis. Mech Syst Signal Process 22:617–637. https://doi.org/10.1016/j.ymssp.2007.09.004
Cho S, Jo H, Jang S, Park J, Jung HJ, Yun CB, Spencer BF, Seo JW (2010) Structural health monitoring of a cable-stayed bridge using wireless smart sensor technology: data analyses. Smart Struct Syst 6:461–480. https://doi.org/10.12989/sss.2010.6.5_6.461
Peeters B, De Roeck G (2001) Stochastic system identification for operational modal analysis: a review. J Dyn Syst Meas Control 123:659–667. https://doi.org/10.1115/1.1410370
Hung CF, Ko WJ, Tai CH (2002) Identification of dynamic systems from data composed by combination of their response components. Eng Struct 24:1441–1450. https://doi.org/10.1016/S0141-0296(02)00092-5
Alicioglu B, Lus H (2008) Ambient vibration analysis with subspace methods and automated mode selection: case studies. J Struct Eng 134:1016–1029. https://doi.org/10.1061/(asce)0733-9445(2008)134:6(1016)
Reynders E, Pintelon R, De Roeck G (2008) Uncertainty bounds on modal parameters obtained from stochastic subspace identification. Mech Syst Signal Process 22:948–969. https://doi.org/10.1016/j.ymssp.2007.10.009
Li WC, Vu VH, Liu ZH, Thomas M, Hazel B (2018) Extraction of modal parameters for identification of time-varying systems using data-driven stochastic subspace identification. J Vib Control 24:4781–4796. https://doi.org/10.1177/1077546317734670
Brownjohn JMW, Magalhaes F, Caetano E, Cunha A (2010) Ambient vibration re-testing and operational modal analysis of the Humber Bridge. Eng Struct 32:2003–2018. https://doi.org/10.1016/j.engstruct.2010.02.034
Overschee PV, Moor BD (1991) Subspace algorithms for the stochastic identification problem. In: Proceedings of the 30th IEEE conference on decision and control, 11–13 Dec. 1991, vol 1322, pp 1321–1326. https://doi.org/10.1109/CDC.1991.261604
Peeters B, De Roeck G (1999) Reference-based stochastic subspace identification for output-only modal analysis. Mech Syst Signal Process 13:855–878. https://doi.org/10.1006/mssp.1999.1249
Priori C, De Angelis M, Betti R (2018) On the selection of user-defined parameters in data-driven stochastic subspace identification. Mech Syst Signal Process 100:501–523. https://doi.org/10.1016/j.ymssp.2017.07.045
Van Overschee P, De Moor B (1996) Subspace identification. Subspace identification for linear systems: theory—implementation—applications. Springer, Boston, pp 57–93. https://doi.org/10.1007/978-1-4613-0465-4_3
Peeters B (2000) System identification and damage detection in civil engineering. Katholieke Universiteit Leuven, Belgium.
Bakir PG (2011) Automation of the stabilization diagrams for subspace based system identification. Expert Syst Appl 38:14390–14397. https://doi.org/10.1016/j.eswa.2011.04.021
Pappa R, James HG, Zimmerman DC (1997) Autonomous modal identification of the space shuttle tail rudder. J Spacecr Rockets. https://doi.org/10.2514/2.3324
Yuan K, Zhu W (2020) Modeling of welded joints in a pyramidal truss sandwich panel using beam and shell finite elements. J Vib Acoust 143(4): 041002. https://doi.org/10.1115/1.4048792
Li J, Zhu X, Law S-s, Samali B (2019) Indirect bridge modal parameters identification with one stationary and one moving sensors and stochastic subspace identification. J Sound Vib 446:1–21. https://doi.org/10.1016/j.jsv.2019.01.024
Döhler M, Andersen P, Mevel L (2011) Data merging for multi-setup operational modal analysis with data-driven SSI. Structural dynamics, vol 3. Springer, New York, pp 443–452
Tong M, Wang Y, Qiu H (2011) Dynamic responses of high speed quay container cranes. Proc Eng 16:342–347
Azeloglu CO, Ozen S, Edincliler A, Kenan H (2017) Natural frequency analysis of lattice boom crane theoretically and experimentally. Int J Steel Struct 17:757–762. https://doi.org/10.1007/s13296-017-6029-1
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Xu, X., Zhang, X., Zhu, W. et al. Modal Parameter Identification of a Quayside Container Crane Based on Data-Driven Stochastic Subspace Identification. J. Vib. Eng. Technol. 9, 919–938 (2021). https://doi.org/10.1007/s42417-020-00273-8
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DOI: https://doi.org/10.1007/s42417-020-00273-8