Abstract
In the last decade, the bridge aerodynamics community has pivoted towards the investigation and prediction of nonlinear aerodynamic phenomena. Several nonlinear models have been suggested, but the research community has yet to conclude on the best types of models for the wide range of nonlinearity observed in the research. Multiple authors have indicated that Volterra models show promise in modeling nonlinear bridge aerodynamics. However, efficient data-driven identification of the Volterra model is challenging. A Laguerrian expansion basis is introduced in this work to alleviate the identification issue. The proposed method improves the identification of the Volterra models, leading to a reduction in computational effort and simplification of the least-squares problem by parameterizing the kernels. The method is also more robust to noise and small perturbations in the experimental data, leading to smooth, decaying kernels that are interpretable in a physical context. A relevant theoretical example is given to evaluate the applicability of the technique in bridge aerodynamics. Furthermore, the method is used to identify 1st− to 4th-order Volterra models on the experimental data of one degree of freedom and two degrees of freedom self-excited forces. The study shows that the technique can identify Volterra models with high fidelity when one degree of freedom and most two degrees of freedom motion data are considered. The model struggles slightly when considering the noisiest and most nonlinear two degrees of freedom scenarios for self-excited drag force.
Highlights
Wind loading often governs the dynamic behavior of long-span bridges
Wind tunnel tests have shown that twin deck cross-sections often exhibit nonlinear aerodynamic behavior (Diana et al, 2004; Skyvulstad et al, 2017; Zhang et al, 2017; Zhou et al, 2018b, 2019a)
An extensive review of the different identification methods and the use of the Volterra series models in the research community can be found in (Cheng et al, 2017). The functionality of such models for bridge aerodynamics applications has been explored in the time domain (Ali et al, 2020; Denoel and Carassale, 2015; Wu and Kareem, 2013b, 2013c, 2014, 2015a, 2015b) and the frequency domain (Carassale et al, 2014; Carassale and Kareem, 2010)
Summary
Wind loading often governs the dynamic behavior of long-span bridges. the interaction between the bridge and the wind has been an avid research topic of interest. An extensive review of the different identification methods and the use of the Volterra series models in the research community can be found in (Cheng et al, 2017). The functionality of such models for bridge aerodynamics applications has been explored in the time domain (Ali et al, 2020; Denoel and Carassale, 2015; Wu and Kareem, 2013b, 2013c, 2014, 2015a, 2015b) and the frequency domain (Carassale et al, 2014; Carassale and Kareem, 2010). The use of data-driven identification methods of the Volterra series is still not extensively explored in the bridge aerodynamics research community. Modelling of the drag force using Volterra models is the main focus of this work
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