Bispectral analysis; Complete cubic combination; Cubic root of the sum of the cubes; Bi-spectral analysis; Buffeting analysis; Cubic root of the sum of the cube; Large structures; Non-Gaussian; Orthogonal decomposition; Proper Orthogonal; Statistical moments; Stochastic analysis; Civil and Structural Engineering; Renewable Energy, Sustainability and the Environment; Mechanical Engineering
Abstract :
[en] Proper Orthogonal Decomposition is implemented in a Bispectral Stochastic Analysis of large MDOF structures. Although Higher Order Stochastic Analysis has been introduced few decades ago, its establishment has found place only in a theoretical way, or applied to very small systems. Its heavy computational cost as well as resource consumption burden has let it aside for practical civil engineering applications. Nevertheless, in wind engineering, the community is increasingly considering the importance of non-Gaussian nature of wind induced vibrations. This is of interest for the extreme value analysis, for which many theoretical and empirical models exist for non-Gaussian random processes. In this context, a (bi-)spectral approach is realized in a 2-D frequency space where the bispectrum is computed then the 3rd statistical moment is obtained by means of a twofold integration. These operations are quite heavy as soon as the dimension of the problem increases. A novel algorithm implementation is proposed. It hinges on (i) the use of Proper Orthogonal Decomposition and the (ii) development of an optimized numerical method. The proposed algorithmic arrangement minimizes the number of operations, and consequently saves time and memory, while conserving precision in estimating 3rd order statistical moments of structural responses.
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Bibliography
Aas-Jakobsen, K., Strømmen, E., Time domain buffeting response calculations of slender structures. J. Wind Eng. Ind. Aerodyn. 89:5 (2001), 341–364.
Augusti, G., Borri, C., Marradi, L., Spinelli, P., On the time-domain analysis of wind response of structures. J. Wind Eng. Ind. Aerodyn. 23 (1986), 449–463.
Benfratello, S., Falsone, G., Muscolino, G., Influence of the quadratic term in the alongwind stochastic response of SDOF structures. Eng. Struct. 18 (1996), 685–695.
Canor, Thomas, Blaise, Nicolas, Denoël, Vincent, Efficient uncoupled stochastic analysis with non-proportional damping. J. Sound Vib. 331:24 (2012), 5283–5291.
Carassale, Luigi, Piccardo, Giuseppe, Solari, Giovanni, Double modal transformation and wind engineering applications. Journal of Engineering Mechanics 127:5 (2001), 432–439.
Carassale, L., Solari, G., Wind modes for structural dynamics: a continuous approach. Probabilistic Engineering Mechanics 17:2 (2002), 157–166 https://www.sciencedirect.com/science/article/pii/S0266892001000364.
da Costa, Bernardo Morais, Wang, Jungao, Jakobsen, Jasna Bogunović, Øiseth, Ole Andre, þór Snæbjörnsson, Jónas, Bridge buffeting by skew winds: A quasi-steady case study. J. Wind Eng. Ind. Aerodyn., 227, 2022, 105068.
Davenport, Alan Garnett, The application of statistical concepts to the wind loading of structures. Proc. Inst. Civ. Eng. 19:4 (1961), 449–472.
Denoël, Vincent, Polynomial approximation of aerodynamic coefficients based on the statistical description of the wind incidence. Probab. Eng. Mech. 24:2 (2009), 179–189.
Denoël, Vincent, On the background and biresonant components of the random response of single degree-of-freedom systems under non-Gaussian random loading. Eng. Struct. 33:8 (2011), 2271–2283.
Denoël, Vincent, 2012. Extension of the Background/biResonant decomposition to the estimation of the kurtosis coefficient of the response. In: Uncertainty in Structural Dynamics.
Denoël, Vincent, Carassale, Luigi, Efficient estimation of the high-order response statistics of a wind-excited oscillator with nonlinear velocity feedback. INVento, 2014.
Denoël, Vincent, Degée, Hervé, Asymptotic expansion of slightly coupled modal dynamic transfer functions. J. Sound Vib. 328:1–2 (2009), 1–8.
Denoël, Vincent, Maquoi, René, The concept of numerical admittance. Arch. Appl. Mech. 87 (2012), 1337–1354.
Denoël, V., Marzino, M. Esposito, Geuzaine, M., A multiple timescale approach of bispectral correlation. Journal of Wind Engineering and Industrial Aerodynamics, 232, 2023, 105282.
Fan, Wenliang, Sheng, Xiangqian, Li, Zhengliang, Sun, Yi, The higher-order analysis method of statistics analysis for response of linear structure under stationary non-gaussian excitation. Mech. Syst. Signal Process., 166, 2022, 108430.
Flamand, Olivier, Denoël, Vincent, 2011. Influence of bridge deck shape on extreme buffeting forces. In: Proceedigs of 13th International Conference on Wind Engineering.
Geuzaine, Margaux, Denoël, Vincent, A framework for the efficient spectral analysis of large wind-and wave-loaded structures. 15th International Conference on Wind Engineering, 2019.
Gurley, Kurtis R., Tognarelli, Michael A., Kareem, Ahsan, Analysis and simulation tools for wind engineering. Probab. Eng. Mech. 12:1 (1997), 9–31.
Gusella, Vittorio, Materazzi, Annibale Luigi, Non-Gaussian response of MDOF wind-exposed structures: Analysis by bicorrelation function and bispectrum. Meccanica 33 (1998), 299–307.
Gusella, Vittorio, Materazzi, Annibale Luigi, Non-Gaussian along-wind response analysis in time and frequency domains. Eng. Struct. 22 (2000), 49–57.
Holmes, John D., Non-Gaussian characteristics of wind pressure fluctuations. J. Wind Eng. Ind. Aerodyn. 7 (1981), 103–108.
Isyumov, Nicholas, Alan G. Davenport's mark on wind engineering. J. Wind Eng. Ind. Aerodyn. 104 (2012), 12–24.
Janjic, Dorian, Pircher, Heinz, Consistent numerical model for wind buffeting analysis of long-span bridges. IABSE Symposium Report, Vol. 88, 2004, International Association for Bridge and Structural Engineering, 78–83.
Kareem, Ahsan, Nonlinear wind velocity term and response of compliant offshore structures. Eng. Mech. 110 (1984), 1573–1578.
Kareem, A. al, Tognarelli, M.A., Gurley, K.R., Modeling and analysis of quadratic term in the wind effects on structures. J. Wind Eng. Ind. Aerodyn. 74 (1998), 1101–1110.
Kareem, Ahsan, Wu, Teng, Wind-induced effects on bluff bodies in turbulent flows: Nonstationary, non-Gaussian and nonlinear features. J. Wind Eng. Ind. Aerodyn. 122 (2013), 21–37.
Kimura, K., Tanaka, H., Bridge buffeting due to wind with yaw angles. J. Wind Eng. Ind. Aerodyn. 42:1–3 (1992), 1309–1320.
Kwon, Dae-Kun, Kareem, Ahsan, Peak factor for non-Gaussian processes revisited. The Seventh Asia-Pacific Conference on Wind Engineering, 2009.
Lutes, Loren D., Sarkani, Shahram, Random Vibrations: Analysis of Structural and Mechanical Systems. 2004, Butterworth-Heinemann.
Mircea, Grigoriu, Linear systems subject to non-Gaussian α-stable processes. Probab. Eng. Mech. 10 (1995), 23–34.
Rizzi, Stephen A., Przekop, Adam, Turner, Travis L., On the response of a nonlinear structure to high kurtosis non-Gaussian random loadings. EURODYN2011-8th International Conference on Structural Dynamics, 2011 number NF1676L-10853.
Scanlan, Robert H., Bridge buffeting by skew winds in erection stages. J. Eng. Mech. 119:2 (1993), 251–269.
Simiu, Emil, Scanlan, Robert H., Wind Effects on Structures: Fundamentals and Applications to Design, Vol. 688. 1996, John Wiley, New York.
Solari, Giovanni, Thunderstorm downbursts and wind loading of structures: progress and prospect. Frontiers in Built Environment, 6, 2020, 63.
Solari, Giovanni, Carassale, Luigi, Tubino, Federica, Proper orthogonal decomposition in wind engineering - Part 1: A state-of-the-art and some prospects. Wind Struct. 10:2 (2007), 153–176.
Solari, Giovanni, De Gaetano, Patrizia, Dynamic response of structures to thunderstorm outflows: Response spectrum technique vs time-domain analysis. Eng. Struct. 176 (2018), 188–207.
Trapp, Arvid, Wolfsteiner, Peter, Characterizing non-Gaussian vibration loading using the trispectrum. Journal of Physics: Conference Series, Vol. 1264, 2019, IOP Publishing, 012040.
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