Time-Domain Method for Correction of Aerodynamic Loads in High-Frequency Force Balance Tests
Publication: Journal of Engineering Mechanics
Volume 147, Issue 10
Abstract
The high-frequency force balance (HFFB) technique is commonly used in wind tunnels to investigate the wind loads and wind-induced responses of high-rise buildings. This paper presents a time-domain correction method for the signal distortion in HFFB tests, including the coupling effect among the balance components and the dynamic amplification of the balance-model system (BMS) on aerodynamic loads. The proposed method uses an adaptive blind source separation (BSS) method to decouple the measured aerodynamic loads in real-time and a fitting method considering the actual aerodynamic characteristics to conduct modal parameter identification of the decoupled modal signals. Subsequently, a digital compensation filter is constructed on the basis of the identified parameters, and the decoupled modal signals are corrected in the time domain by the filter. Finally, the corrected modal signals are transformed into physical signals by using the mode shape, and the time history of the corrected aerodynamic loads is obtained. The proposed method can update the separating matrix (i.e., the inverse of the mode shape) of the coupled signals online and accomplish the real-time decoupling. Besides, the time history of the corrected aerodynamic loads can be directly obtained using the filter-based correction method, which is convenient for further time history analysis. The proposed method is applied to both a numerical simulation example and an HFFB test and compared with other existing methods. The proposed method reduces the error maximum and the standard deviation by 81.9% and 88.9%, respectively, in the numerical simulation. The results show the effectiveness and superiority of the proposed method.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The work described in this paper is fully supported by the National Natural Science Foundation of China (Grant Nos. 51908226 and 52078221), the China Postdoctoral Science Foundation (Grant No. 2019M662915), and the State Key Laboratory of Subtropical Building Science, South China University of Technology (Grant No. 2020ZB16). The financial supports are gratefully acknowledged.
References
Antoni, J., and S. Chauhan. 2013. “A study and extension of second-order blind source separation to operational modal analysis.” J. Sound Vib. 332 (4): 1079–1106. https://doi.org/10.1016/j.jsv.2012.09.016.
Cardoso, J. F., and B. H. Laheld. 1996. “Equivariant adaptive source separation.” IEEE Trans. Signal Process. 44 (12): 3017–3030. https://doi.org/10.1109/78.553476.
Comon, P. 1994. “Independent component analysis, a new concept?” Signal Process. 36 (3): 287–314. https://doi.org/10.1016/0165-1684(94)90029-9.
Cui, W., and L. Caracoglia. 2016. “Physics-based method for the removal of spurious resonant frequencies in high-frequency force balance tests.” J. Struct. Eng. 142 (2): 04015129. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001414.
ESDU (Engineering Science Data Unit). 1982. Strong winds in the atmospheric boundary layer. Part 1: Hourly-mean wind speeds. London: ESDU.
ESDU (Engineering Science Data Unit). 1983. Strong winds in the atmospheric boundary layer. Part 2: Discrete gust speeds. London: ESDU.
Gaeta, M., and J.-L. Lacoume. 1990. “Source separation without a priori knowledge: The maximum likelihood solution.” In Proc., European Signal Processing Conf. (EUSIPCO), 621–624. New York: IEEE.
Hoshiba, M. 2013. “Real-time correction of frequency-dependent site amplification factors for application to earthquake early warning.” Bull. Seismol. Soc. Am. 103 (6): 3179–3188. https://doi.org/10.1785/0120130060.
Kareem, A. 1992. “Dynamic response of high-rise buildings to stochastic wind loads.” J. Wind Eng. Ind. Aerodyn. 42 (1–3): 1101–1112. https://doi.org/10.1016/0167-6105(92)90117-S.
McNeill, S. I., and D. C. Zimmerman. 2008. “A framework for blind modal identification using joint approximate diagonalization.” Mech. Syst. Sig. Process. 22 (7): 1526–1548. https://doi.org/10.1016/j.ymssp.2008.01.010.
Oppenheim, A. V., R. W. Schafer, and J. R. Buck. 1999. Discrete-time signal processing. 2nd ed. Upper Saddler River, NJ: Prentice-Hall.
Tschanz, T., and A. G. Davenport. 1983. “The base balance technique for the determination of dynamic wind loads.” J. Wind Eng. Ind. Aerodyn. 13 (1): 429–439. https://doi.org/10.1016/0167-6105(83)90162-9.
Tse, K. T., P. A. Hitchcock, K. C. S. Kwok, S. Thepmongkorn, and C. M. Chan. 2009. “Economic perspectives of aerodynamic treatments of square tall buildings.” J. Wind Eng. Ind. Aerodyn. 97 (9): 455–467. https://doi.org/10.1016/j.jweia.2009.07.005.
Yang, F., D. Kong, and L. Kong. 2018. “Accurate measurement of high-frequency blast waves through dynamic compensation of miniature piezoelectric pressure sensors.” Sens. Actuators, A 280 (Sep): 14–23. https://doi.org/10.1016/j.sna.2018.07.029.
Yang, S., and K. Xu. 2013. “Frequency-domain decoupling-correction method for wind tunnel strain-gauge balance.” IEEE Trans. Instrum. Meas. 62 (9): 2596–2608. https://doi.org/10.1109/TIM.2013.2259100.
Yang, S.-L., R. Yang, F.-Y. Zha, H.-D. Liu, L.-P. Liang, and K.-J. Xu. 2020. “Dynamic compensation method based on system identification and error-overrun mode correction for strain force sensor.” Mech. Syst. Sig. Process. 140 (Jun): 106649. https://doi.org/10.1016/j.ymssp.2020.106649.
Zhang, L., Y. Wang, and Z. Xie. 2020. “Three-dimensional coupled wind-induced vibration calculation method for super high-rise buildings based on high-frequency force balance technology.” Struct. Des. Tall Spec. Build. 29 (12): e1772. https://doi.org/10.1002/tal.1772.
Zhang, L., Z. Xie, and X. Yu. 2018. “Method for decoupling and correction of dynamical signals in high-frequency force balance tests.” J. Struct. Eng. 144 (12): 04018216. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002205.
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Published In
Journal of Engineering Mechanics
Volume 147 • Issue 10 • October 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Nov 18, 2020
Accepted: May 26, 2021
Published online: Aug 9, 2021
Published in print: Oct 1, 2021
Discussion open until: Jan 9, 2022
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