NExT-LF: A Novel Operational Modal Analysis Method via Tangential Interpolation

Gabriele Dessena , Marco Civera , Ali Yousefi , Cecilia Surace

International Journal of Mechanical System Dynamics ›› 2025, Vol. 5 ›› Issue (3) : 401 -414.

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International Journal of Mechanical System Dynamics ›› 2025, Vol. 5 ›› Issue (3) : 401 -414. DOI: 10.1002/msd2.70016
RESEARCH ARTICLE

NExT-LF: A Novel Operational Modal Analysis Method via Tangential Interpolation

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Abstract

Operational modal analysis (OMA) is vital for identifying modal parameters under real-world conditions, yet existing methods often face challenges with noise sensitivity and stability. This study introduces NExT-LF, a novel method that combines the well-known Natural Excitation Technique (NExT) with the Loewner Framework (LF). NExT enables the extraction of Impulse Response Functions from output-only vibration data, which are then converted into the frequency domain and used by LF to estimate modal parameters. The proposed method is validated through numerical and experimental case studies. In the numerical study of a two-dimensional Euler–Bernoulli cantilever beam, NExT-LF provides results consistent with analytical solutions and those from standard methods, NExT with Eigensystem Realization Algorithm (NExT-ERA) and stochastic subspace identification with canonical variate analysis. Additionally, NExT-LF demonstrates superior noise robustness, reliably identifying stable modes across various noise levels where NExT-ERA fails. Experimental validation on the Sheraton Universal Hotel is the first OMA application to this structure, confirming NExT-LF as a robust and efficient method for output-only modal parameter identification.

Keywords

Loewner Framework / noise resilient techniques / operational modal analysis / tangential interpolation

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Gabriele Dessena, Marco Civera, Ali Yousefi, Cecilia Surace. NExT-LF: A Novel Operational Modal Analysis Method via Tangential Interpolation. International Journal of Mechanical System Dynamics, 2025, 5(3): 401-414 DOI:10.1002/msd2.70016

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References

[1]

G. Dessena, D. I. Ignatyev, J. F. Whidborne, A. Pontillo, and L. Zanotti Fragonara, “Ground Vibration Testing of a Flexible Wing: A Benchmark and Case Study,” Aerospace 9, no. 8 (2022): 438, https://doi.org/10.3390/aerospace9080438.

[2]

T. Verhulst, D. Judt, C. Lawson, Y. Chung, O. Al-Tayawe, and G. Ward, “Review for State-of-the-Art Health Monitoring Technologies on Airframe Fuel Pumps,” International Journal of Prognostics and Health Management 13, no. 1 (2022): 1–20, https://doi.org/10.36001/ijphm.2022.v13i1.3134.

[3]

M. Civera, G. Calamai, and L. Zanotti Fragonara, “System Identification via Fast Relaxed Vector Fitting for the Structural Health Monitoring of Masonry Bridges,” Structures 30, no. January (2021): 277–293, https://doi.org/10.1016/j.istruc.2020.12.073.

[4]

P. Lubrina, S. Giclais, C. Stephan, M. Boeswald, Y. Govers, and N. Botargues, “ AIRBUS A350 XWB GVT: State-of-the-Art Techniques to Perform a Faster and Better GVT Campaign,” in Topics in Modal Analysis II, Volume 8. Conference Proceedings of the Society for Experimental Mechanics Series, Vol. 45, ed. R. Allemang (Springer, Cham, 2014), 243–256, https://doi.org/10.1007/978-3-319-04774-4_24.

[5]

G. Dessena, D. I. Ignatyev, J. F. Whidborne, and L. Zanotti Fragonara, “A Global-Local Meta-Modelling Technique for Model Updating,” Computer Methods in Applied Mechanics and Engineering 418, no. 6 (2024): 116511, https://doi.org/10.1016/j.cma.2023.116511.

[6]

A. Cadoret, E. Denimal-Goy, J. M. Leroy, J. L. Pfister, and L. Mevel, “Damage Detection and Localization Method for Wind Turbine Rotor Based on Operational Modal Analysis and Anisotropy Tracking,” Mechanical Systems and Signal Processing 224, no. September 2024 (2025): 111982, https://doi.org/10.1016/j.ymssp.2024.111982.

[7]

C. R. Farrar, N. Dervilis, and K. Worden, “The Past, Present and Future of Structural Health Monitoring: An Overview of Three Ages,” Strain 61, no. 1 (2025): e12495, https://doi.org/10.1111/str.12495.

[8]

K. Liu, E. Reynders, G. De Roeck, and G. Lombaert, “Experimental and Numerical Analysis of a Composite Bridge for High-Speed Trains,” Journal of Sound and Vibration 320, no. 1–2 (2009): 201–220, https://doi.org/10.1016/j.jsv.2008.07.010.

[9]

B. Kavyashree, S. Patil, and V. S. Rao, “Review on Vibration Control in Tall Buildings: From the Perspective of Devices and Applications,” International Journal of Dynamics and Control 9, no. 3 (2021): 1316–1331, https://doi.org/10.1007/s40435-020-00728-.

[10]

S. A. Bochkarev and S. V. Lekomtsev, “Analysis of Natural Vibration of Truncated Conical Shells Partially Filled With Fluid,” International Journal of Mechanical System Dynamics 4, no. 2 (2024): 142–152, https://doi.org/10.1002/msd2.12105.

[11]

B. Li, W. Zhao, Y. Miao, W. Tian, and W. Liao, “A Method for Dynamic Parameter Identification of an Industrial Robot Based on Frequency Response Function,” International Journal of Mechanical System Dynamics 4, May (2024): 461–471, https://doi.org/10.1002/msd2.12131.

[12]

L. Sibille, M. Civera, L. Zanotti Fragonara, and R. Ceravolo, “Automated Operational Modal Analysis of a Helicopter Blade With a Density-Based Cluster Algorithm,” AIAA Journal 61, no. 3 (2023): 1411–1427, https://doi.org/10.2514/1.J062084.

[13]

G. S. Aglietti, M. Remedia, M. Appolloni, and A. Kiley, “Spacecraft Structure Model Validation and Test Philosophy,” AIAA Journal 57, no. 5 (2019): 2109–2122, https://doi.org/10.2514/1.J057757.

[14]

B. Peeters and G. De Roeck, “One-Year Monitoring of the Z24-Bridge: Environmental Effects Versus Damage Events,” Earthquake Engineering & Structural Dynamics 30, no. 2 (2001): 149–171, https://doi.org/10.1002/1096-9845(200102)30:2<149::AID-EQE1>3.0.CO;2-Z.

[15]

R. S. Pappa, G. H. James, and D. C. Zimmerman, “Autonomous Modal Identification of the Space Shuttle Tail Rudder,” Journal of Spacecraft and Rockets 35, no. 2 (1998): 163–169, https://doi.org/10.2514/2.3324.

[16]

C. Gentile and A. Saisi, “Ambient Vibration Testing of Historic Masonry Towers for Structural Identification and Damage Assessment,” Construction and Building Materials 21, no. 6 (2007): 1311–1321, https://doi.org/10.1016/j.conbuildmat.2006.01.007.

[17]

L. Ljung, T. Chen, and B. Mu, “A Shift in Paradigm for System Identification,” International Journal of Control 93, no. 2 (2020): 173–180, https://doi.org/10.1080/00207179.2019.1578407.

[18]

E. Reynders, “System Identification Methods for (Operational) Modal Analysis: Review and Comparison,” Archives of Computational Methods in Engineering 19, no. 1 (2012): 51–124, https://doi.org/10.1007/s11831-012-9069x.

[19]

V. Mugnaini, L. Zanotti Fragonara, and M. Civera, “A Machine Learning Approach for Automatic Operational Modal Analysis,” Mechanical Systems and Signal Processing 170, no. February (2022): 108813, https://doi.org/10.1016/j.ymssp.2022.108813.

[20]

B. J. O'Connell and T. J. Rogers, “A Robust Probabilistic Approach to Stochastic Subspace Identification,” Journal of Sound and Vibration 581, no. March (2024): 118381, https://doi.org/10.1016/j.jsv.2024.118381.

[21]

A. J. Elliott, A. Nakhaeezadeh Gutierrez, L. Felicetti, and L. Zanotti Fragonara, “In-Orbit System Identification of a Flexible Satellite With Variable Mass Using Dual Unscented Kalman Filters,” Acta Astronautica 226, no. P2 (2025): 71–86, https://doi.org/10.1016/j.actaastro.2024.11.014.

[22]

Z. Zhu, S. K. Au, B. Li, and Y. L. Xie, “Bayesian Operational Modal Analysis With Multiple Setups and Multiple (Possibly Close) Modes,” Mechanical Systems and Signal Processing 150 (2021): 107261, https://doi.org/10.1016/j.ymssp.2020.107261.

[23]

S. Grivet-Talocia and B. Gustavsen, Passive Macromodeling: Theory and Applications (Wiley, 2016).

[24]

M. Civera, G. Calamai, and L. Zanotti Fragonara, “Experimental Modal Analysis of Structural Systems by Using the Fast Relaxed Vector Fitting Method,” Structural Control and Health Monitoring 28, no. 4 (2021): 1–23, https://doi.org/10.1002/stc.2695.

[25]

G. Dessena, M. Civera, L. Zanotti Fragonara, D. I. Ignatyev, and J. F. Whidborne, “A Loewner-Based System Identification and Structural Health Monitoring Approach for Mechanical Systems,” Structural Control and Health Monitoring 2023 (2023): 1–22, https://doi.org/10.1155/2023/1891062.

[26]

S. Lefteriu and A. C. Antoulas, “ Modeling Multi-Port Systems From Frequency Response Data via Tangential Interpolation,” in 2009 IEEE Workshop on Signal Propagation on Interconnects (IEEE, 2009), 1–4, https://doi.org/10.1109/SPI.2009.5089847.

[27]

T. Carne, J. Lauffer, A. J. Gomez, and H. Benjannet, “ Modal Testing if a Very Flexible 110 m Wind Turbine Structure,” in Proceedings of the Sixth International Modal Analysis Conference (IMAC) (Union College and Society of Experimental Mechanics, 1988).

[28]

J. P. Lauffer, T. G. Carne, and T. D. Ashwill, Modal Testing in the Design Evaluation of Wind Turbines (Sandia National Laboratories, 1988).

[29]

J. N. Juang and R. S. Pappa, “An Eigensystem Realization Algorithm in Frequency Domain for Modal Parameter Identification,” Journal of Guidance, Control, and Dynamics 8, no. 5 (1986): 620–627, https://doi.org/10.2514/6.1986-2048.

[30]

G. H. James, III, T. G. Carne, and J. P. Lauffer, The Natural Excitation Technique (NExT) for Modal Parameter Extraction From Operating Wind Turbines (Sandia National Laboratories, 1993).

[31]

P. Van Overschee and B. De Moor, Subspace Identification for Linear Systems (Springer, 1996), https://doi.org/10.1007/978-1-4613-0465-4.

[32]

D. Quero, P. Vuillemin, and C. Poussot-Vassal, “A Generalized State-Space Aeroservoelastic Model Based on Tangential Interpolation,” Aerospace 6, no. 1 (2019): 9, https://doi.org/10.3390/aerospace6010009.

[33]

G. Dessena, M. Civera, D. I. Ignatyev, J. F. Whidborne, L. Zanotti Fragonara, and B. Chiaia, “The Accuracy and Computational Efficiency of the Loewner Framework for the System Identification of Mechanical Systems,” Aerospace 10, no. 6 (2023): 571, https://doi.org/10.3390/aerospace10060571.

[34]

G. Dessena, M. Civera, A. Pontillo, D. I. Ignatyev, J. F. Whidborne, and L. Zanotti Fragonara, “Noise-Robust Modal Parameter Identification and Damage Assessment for Aero-Structures,” Aircraft Engineering and Aerospace Technology 96, no. 11 (2024): 27–36, https://doi.org/10.1108/AEAT-06-2024-0178.

[35]

G. Dessena and M. Civera, “Improved Tangential Interpolation-Based Multi-Input Multi-Output Modal Analysis of a Full Aircraft,” European Journal of Mechanics—A/Solids 110, no. March/April (2025): 105495, https://doi.org/10.1016/j.euromechsol.2024.105495.

[36]

G. Dessena, M. Civera, A. Marcos, and B. Chiaia, “Multi-Input Multi-Output Loewner Framework for Vibration-Based Damage Detection on a Trainer Jet,” arXiv (2024): 1–29, https://doi.org/10.48550/arXiv.2410.20160.

[37]

K. Löwner, “Über monotone matrixfunktionen,” Mathematische Zeitschrift 38, no. 1 (1934): 177–216, https://doi.org/10.1007/BF01170633.

[38]

A. C. Antoulas, S. Lefteriu, and A. C. Ionita, “ A Tutorial Introduction to the Loewner Framework for Model Reduction,” in Model Reduction and Approximation. No. May 2011 (Society for Industrial and Applied Mathematics, 2017), 335–376, https://doi.org/10.1137/1.9781611974829.ch8.

[39]

A. J. Mayo and A. C. Antoulas, “A Framework for the Solution of the Generalized Realization Problem,” Linear Algebra and Its Applications 425, no. 2/3 (2007): 634–662, https://doi.org/10.1016/j.laa.2007.03.008.

[40]

B. Kramer and S. Gugercin, “Tangential Interpolation-Based Eigensystem Realization Algorithm for MIMO Systems,” Mathematical and Computer Modelling of Dynamical Systems 22, no. 4 (2016): 282–306, https://doi.org/10.1080/13873954.2016.1198389.

[41]

S. Lefteriu and A. C. Antoulas, “A New Approach to Modeling Multiport Systems From Frequency-Domain Data,” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 29, no. 1 (2010): 14–27, https://doi.org/10.1109/TCAD.2009.2034500.

[42]

G. Dessena, A Tutorial on the Loewner-Based System Identification and Structural Health Monitoring Approach for Mechanical Systems (Cranfield University, 2023), https://doi.org/10.17862/cranfield.rd.16636279.

[43]

J. S. Bendat and A. G. Piersol, Engineering Applications of Correlation and Spectral Analysis (Wiley, 2013), 2nd ed.

[44]

A. Al-Rumaithi, Eigensystem Realization Algorithm (ERA) (2024), accessed September 3, 2023, https://www.mathworks.com/matlabcentral/fileexchange/69494-eigensystem-realization-algorithm-era.

[45]

R. K. Goel, “ Challenges in Base Shear Estimation From Recorded Motions,” in Structures Congress 2010 (American Society of Civil Engineers, 2010), 3207–3215, https://doi.org/10.1061/41130%28369%29288.

[46]

R. K. Goel, “ Limitations of Estimating Base Shear Demand in Existing Building From Recorded Motions,” in 9th US National and 10th Canadian Conference on Earthquake Engineering 2010, Including Papers From the 4th International Tsunami Symposium, Vol. 9 no. 164 (Canadian Association for Earthquake Engineering and Seismology, 2010).

[47]

A. Mantawy and J. Anderson, “ Assessment of Low-Cycle Fatigue Damage in R.C. Frame Buildings Under Long-Duration Earthquakes,” in SECED 2015 Conference: Earthquake Risk and Engineering towards a Resilient World (Society for Earthquake and Civil Engineering Dynamics, 2015).

[48]

Center for Engineering Strong Motion Data (CESMD), North Hollywood—20-Story Hotel, accessed January 1, 2022, https://www.strongmotioncenter.org/cgi-bin/CESMD/stationhtml.pl?stationID=CE24464&network=CGS.

[49]

Center for Engineering Strong Motion Data (CESMD), Sheraton Universal City Ambient Vibration Tests (1997), accessed January 1, 2022, https://www.strongmotioncenter.org/cgi-bin/CESMD/Multiplesearch1_DM2.pl?event_name=&magmin=&magmax=&byear=&eyear=&country=Any&state=Any&stn_ident=&network=CE&sta_number=24464&type=Any&Material=Any&Height=&siteclass=Any&accmin=&accmax=&hdistmin=&hdistmax=.

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2025 The Author(s). International Journal of Mechanical System Dynamics published by John Wiley & Sons Australia, Ltd on behalf of Nanjing University of Science and Technology.

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