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1.
Mannini, C., Soda, A., Voβ, R. & Schewe, G., Unsteady RANS simulations of flow around a bridge section. Journal of Wind Engineering and Industrial Aerodynamics, 98, pp. 724–753, 2010. [Crossref]
2.
Fang, G., Cao, J., Yang, Y., Zhao, L., Cao, S. & Ge, Y., Experimental uncertainty quan- tification of flutter derivatives for a PK section girder and its application on proba- bilistic flutter analysis. ASCE Journal of Bridge Engineering, 25(7), Article number: 04020034, 2020. [Crossref]
3.
Bruno, L. & Fransos, D., Probabilistic evaluation of the aerodynamic properties of a bridge deck. Journal of Wind Engineering and Industrial Aerodynamics, 99, pp. 718– 728, 2011. [Crossref]
4.
Mariotti, A., Salvetti, M.V., Omrani, P.S. & Witteveen, J.A.S., Stochastic analysis of the impact of freestream conditions on the aerodynamics of a rectangular 5:1 cylin- der. Computers and Fluids, 136, pp. 170–192, 2016. fluid.2016.06.008 [Crossref]
5.
Lamberti, G. & Gorlé, C., Uncertainty quantification for RANS predictions of wind loads on buildings. In Proc. INVENTO 2018, LNCE 24, Ricciardelli, F. & Avossa, A.M. eds., pp. 402–412, 2019.
6.
Lamberti, G. & Gorlé, C., Sensitivity of LES predictions of wind loading on a high-rise building to the inflow boundary condition. Journal of Wind Engineering and Indus- trial Aerodynamics, 206, Article number: 104370, 2020. jweia.2020.104370 [Crossref]
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Xu, Y.L.,Wind Effects on Cable-Supported Bridges. John Wiley & Sons; Singapore Pte. Ltd, 2013.
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Jurado, J.Á., Hernández, S., Nieto, F. & Mosquera, A., Bridge aeroelasticity. Sensitivity analysis and optimal design. WITPress,Southampton, UK, 2011.
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Smith, R.C., Uncertainty quantification. Theory, implementation, and applications, SIAM, 2014.
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Nieto, F., Cid Montoya, M., Hernández, S., Kusano, I., Casteleiro, A., Álvarez, A.J., Jurado, J.Á. & Fontán, A., Aerodynamic and aeroelastic responses of short gap twin- box decks: Box geometry and gap distance dependent surrogate based design. Journal of Wind Engineering and Industrial Aerodynamics, 201, Article 104147, 2020. https:// doi.org/10.1016/j.jweia.2020.104147
12.
Sarkar, P.P., Caracoglia, L., Haan, F. Jr., Sato, H. & Murakoshi, J., Comparative and sensitivity study of flutter derivatives of selected bridge deck sections, Part 1: Analysis of inter-laboratory experimental data. Engineering Structures, 31, pp. 158–169, 2009. [Crossref]
13.
Sarkic, A., Höffer, R. & Brcic, S., Numerical simulations and experimental validations of force coefficients and flutter derivatives of a bridge deck. Journal of Wind Engineer- ing and Industrial Aerodynamics, 144, pp. 172–182, 2015. jweia.2015.04.017 [Crossref]
14.
Nieto, F., Owen, J.S., Hargreaves, D.M. & Hernández, S., Bridge deck flutter deriva- tives: Efficient numerical evaluation exploiting their interdependence. Journal of Wind Engineering and Industrial Aerodynamics, 136, pp. 138–150, 2015. https://doi. org/10.1016/j.jweia.2014.11.006
15.
Patruno, L., Accuracy of numerically evaluated flutter derivatives of bridge deck sec- tions using RANS: Effects on the flutter onset velocity. Engineering Structures, 89, pp. 49–65, 2015. [Crossref]
16.
Sarkic, A., Fisch, R., Höffer, R. & Bletzinger, K.U., Bridge flutter derivatives based on computed, validated pressure fields. Journal of Wind Engineering and Industrial Aero- dynamics, 104–106, pp. 141–151, 2012. [Crossref]
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Open Access
Research article

Uncertainty Quantification of Aerodynamic and Aeroelastic Responses of a Short-Gap Twin-Box Deck Depending on the Wind Angle of Attack

Giuseppe G. Lobriglio1,
Antonio J. Álvarez2,
Felix Nieto2,
Santiago Hernández2,
José Á. Jurado3
1
Faculty of Engineering, University of Pavia, Pavia, Italy.
2
School of Civil Engineering, University of La Corunna, Spain.
3
School of Civil Engineering, University of La Corunna, Spain
International Journal of Computational Methods and Experimental Measurements
|
Volume 10, Issue 1, 2022
|
Pages 74-84
Received: N/A,
Revised: N/A,
Accepted: N/A,
Available online: N/A
View Full Article|Download PDF

Abstract:

Today, the assessment of the safety of long-span bridges relies on wind tunnel testing, although CFD methods are steadily penetrating in research and industrial practice. The evaluation of force coefficients and flutter derivatives presents multiple uncertainties, related with inflow boundary conditions, mechanical and mathematical models or parameter choices. In this work, we focus on one single uncertainty parameter that is the wind angle of incidence, which has been studied for instance in building aerodynamics. The assumed input probability density function adopted for the angle of incidence has been uniform in the range of angles considered. Uncertainty quantification tools, such as the stochastic collocation method, are used to propagate the uncertainty in the wind angle of attack for the force coefficients and flutter derivatives of a twin-box bridge deck. To this end, 5 2D URANS static simulations have been completed to quantify the uncertainty in the force coefficients, and 70 2D URANS forced oscillation simulations have been required to obtain the stochastic mean and standard deviation of the flutter derivatives, applying nested Clenshaw–Curtis quadrature points at level 3. It has been found that for the force coefficients, the stochastic standard deviation has been up to 0.032 for the lift coefficient. Furthermore, for the aeroelastic response, the flutter derivatives H1*, A1*, H2* and A2* show important stochastic standard deviations relative to the stochastic mean value for reduced velocities above 10.

Keywords: Aerodynamic derivatives, Flutter, Force coefficients, Stochastic collocation, Twin-box deck, Uncertainty quantification

1. Introduction

2. Formulation

3. Computational Approach

4. Application Case

5. Conclusions

Acknowledgments

This research has been funded by the Spanish Ministry for Science and Innovation, in the frame of the research project PID2019-110786GB-I00, and the Xunta de Galicia (Gali- cian Regional Government), including FEDER funding, with program reference ED431C 2017/72. Giuseppe G. Lobriglio has been funded by an Erasmus+ Higher Education Trainee- ship. The authors fully acknowledge the support received.

References
1.
Mannini, C., Soda, A., Voβ, R. & Schewe, G., Unsteady RANS simulations of flow around a bridge section. Journal of Wind Engineering and Industrial Aerodynamics, 98, pp. 724–753, 2010. [Crossref]
2.
Fang, G., Cao, J., Yang, Y., Zhao, L., Cao, S. & Ge, Y., Experimental uncertainty quan- tification of flutter derivatives for a PK section girder and its application on proba- bilistic flutter analysis. ASCE Journal of Bridge Engineering, 25(7), Article number: 04020034, 2020. [Crossref]
3.
Bruno, L. & Fransos, D., Probabilistic evaluation of the aerodynamic properties of a bridge deck. Journal of Wind Engineering and Industrial Aerodynamics, 99, pp. 718– 728, 2011. [Crossref]
4.
Mariotti, A., Salvetti, M.V., Omrani, P.S. & Witteveen, J.A.S., Stochastic analysis of the impact of freestream conditions on the aerodynamics of a rectangular 5:1 cylin- der. Computers and Fluids, 136, pp. 170–192, 2016. fluid.2016.06.008 [Crossref]
5.
Lamberti, G. & Gorlé, C., Uncertainty quantification for RANS predictions of wind loads on buildings. In Proc. INVENTO 2018, LNCE 24, Ricciardelli, F. & Avossa, A.M. eds., pp. 402–412, 2019.
6.
Lamberti, G. & Gorlé, C., Sensitivity of LES predictions of wind loading on a high-rise building to the inflow boundary condition. Journal of Wind Engineering and Indus- trial Aerodynamics, 206, Article number: 104370, 2020. jweia.2020.104370 [Crossref]
7.
Xu, Y.L.,Wind Effects on Cable-Supported Bridges. John Wiley & Sons; Singapore Pte. Ltd, 2013.
8.
Jurado, J.Á., Hernández, S., Nieto, F. & Mosquera, A., Bridge aeroelasticity. Sensitivity analysis and optimal design. WITPress,Southampton, UK, 2011.
9.
Scanlan, R.H. & Tomko, J.J., Airfoil and bridge deck flutter derivatives. Journal of the Engineering Mechanics Division, 97(6), pp. 1717–1737, 1971. https://doi.org/10.1061/ jmcea3.0001526
10.
Smith, R.C., Uncertainty quantification. Theory, implementation, and applications, SIAM, 2014.
11.
Nieto, F., Cid Montoya, M., Hernández, S., Kusano, I., Casteleiro, A., Álvarez, A.J., Jurado, J.Á. & Fontán, A., Aerodynamic and aeroelastic responses of short gap twin- box decks: Box geometry and gap distance dependent surrogate based design. Journal of Wind Engineering and Industrial Aerodynamics, 201, Article 104147, 2020. https:// doi.org/10.1016/j.jweia.2020.104147
12.
Sarkar, P.P., Caracoglia, L., Haan, F. Jr., Sato, H. & Murakoshi, J., Comparative and sensitivity study of flutter derivatives of selected bridge deck sections, Part 1: Analysis of inter-laboratory experimental data. Engineering Structures, 31, pp. 158–169, 2009. [Crossref]
13.
Sarkic, A., Höffer, R. & Brcic, S., Numerical simulations and experimental validations of force coefficients and flutter derivatives of a bridge deck. Journal of Wind Engineer- ing and Industrial Aerodynamics, 144, pp. 172–182, 2015. jweia.2015.04.017 [Crossref]
14.
Nieto, F., Owen, J.S., Hargreaves, D.M. & Hernández, S., Bridge deck flutter deriva- tives: Efficient numerical evaluation exploiting their interdependence. Journal of Wind Engineering and Industrial Aerodynamics, 136, pp. 138–150, 2015. https://doi. org/10.1016/j.jweia.2014.11.006
15.
Patruno, L., Accuracy of numerically evaluated flutter derivatives of bridge deck sec- tions using RANS: Effects on the flutter onset velocity. Engineering Structures, 89, pp. 49–65, 2015. [Crossref]
16.
Sarkic, A., Fisch, R., Höffer, R. & Bletzinger, K.U., Bridge flutter derivatives based on computed, validated pressure fields. Journal of Wind Engineering and Industrial Aero- dynamics, 104–106, pp. 141–151, 2012. [Crossref]

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Lobriglio, G. G., Álvarez, A. J., Nieto, F., Hernández, S., & Jurado, J. A. (2022). Uncertainty Quantification of Aerodynamic and Aeroelastic Responses of a Short-Gap Twin-Box Deck Depending on the Wind Angle of Attack. Int. J. Comput. Methods Exp. Meas., 10(1), 74-84. https://doi.org/10.2495/CMEM-V10-N1-74-84
G. G. Lobriglio, A. J. Álvarez, F. Nieto, S. Hernández, and J. A. Jurado, "Uncertainty Quantification of Aerodynamic and Aeroelastic Responses of a Short-Gap Twin-Box Deck Depending on the Wind Angle of Attack," Int. J. Comput. Methods Exp. Meas., vol. 10, no. 1, pp. 74-84, 2022. https://doi.org/10.2495/CMEM-V10-N1-74-84
@research-article{Lobriglio2022UncertaintyQO,
title={Uncertainty Quantification of Aerodynamic and Aeroelastic Responses of a Short-Gap Twin-Box Deck Depending on the Wind Angle of Attack},
author={Giuseppe G. Lobriglio and Antonio J. áLvarez and Felix Nieto and Santiago HernáNdez and José á. Jurado},
journal={International Journal of Computational Methods and Experimental Measurements},
year={2022},
page={74-84},
doi={https://doi.org/10.2495/CMEM-V10-N1-74-84}
}
Giuseppe G. Lobriglio, et al. "Uncertainty Quantification of Aerodynamic and Aeroelastic Responses of a Short-Gap Twin-Box Deck Depending on the Wind Angle of Attack." International Journal of Computational Methods and Experimental Measurements, v 10, pp 74-84. doi: https://doi.org/10.2495/CMEM-V10-N1-74-84
Giuseppe G. Lobriglio, Antonio J. áLvarez, Felix Nieto, Santiago HernáNdez and José á. Jurado. "Uncertainty Quantification of Aerodynamic and Aeroelastic Responses of a Short-Gap Twin-Box Deck Depending on the Wind Angle of Attack." International Journal of Computational Methods and Experimental Measurements, 10, (2022): 74-84. doi: https://doi.org/10.2495/CMEM-V10-N1-74-84
LOBRIGLIO G G, ÁLVAREZ A J, NIETO F, et al. Uncertainty Quantification of Aerodynamic and Aeroelastic Responses of a Short-Gap Twin-Box Deck Depending on the Wind Angle of Attack[J]. International Journal of Computational Methods and Experimental Measurements, 2022, 10(1): 74-84. https://doi.org/10.2495/CMEM-V10-N1-74-84