Vibration phase difference analysis of long-span suspension bridge during flutter

Wu, Lianhuo; Ju, J. Woody; Zhang, Jinxiang; Zhang, Mingjin; Li, Yongle

doi:10.1016/j.engstruct.2022.115351

Cited by 21 publications

(6 citation statements)

References 28 publications

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“…The occurrence of self-limiting flutter, known as limit cycle oscillations in bridges, has been indicated by the Tacoma Narrows Bridge flutter event and recent research and experiments. This type of limit cycle oscillation, often referred to as "hard flutter," differs from linear divergence-type flutter theories and does not always lead to divergence [1][2][3][4][5]. Notably, nonlinearity in the aerodynamic self-excited forces of bluff body bridges is significant [6][7][8][9], and the nonlinear phenomenon stands out under angle of attack conditions [10,11].…”

Section: Introductionmentioning

confidence: 91%

Study of Nonlinear Aerodynamic Self-Excited Force in Flutter Bifurcation and Limit Cycle Oscillation of Long-Span Suspension Bridge

Liu,

Wang,

Yang

2023

Applied Sciences

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This article establishes a nonlinear flutter system for a long-span suspension bridge, aiming to analyze its supercritical flutter response under the influence of nonlinear aerodynamic self-excited force. By fitting the experimental discrete values of flutter derivatives using the least squares method, a polynomial function of flutter derivatives with respect to reduced wind speed is obtained. Flutter critical value is determined by the linear matrix eigenvalues of a state-space equation. The occurrence of a supercritical Hopf bifurcation in the nonlinear system is determined by the Jacobian matrix eigenvalues of the state-space equation and the system’s vibrational response at the critical state. The vibrational response of the supercritical state is obtained through Runge–Kutta integration, revealing the presence of stable limit cycle oscillation (LCO) and unstable limit cycle oscillation in the system, and through analyzing the relationship between the LCO amplitude and wind speed. Considering cubic nonlinear damping and stiffness, the effects of different factors on the nonlinear flutter system are analyzed.

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Section: Introductionmentioning

confidence: 91%

Study of Nonlinear Aerodynamic Self-Excited Force in Flutter Bifurcation and Limit Cycle Oscillation of Long-Span Suspension Bridge

Liu,

Wang,

Yang

2023

Applied Sciences

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“…This can cause the bridge to sway or oscillate violently, which can cause damage and even collapse of bridge structures. With the increase of the span length of the bridge, the flutter performance has gradually become one of the control factors of bridge design [28][29][30][31]. A bridge that is able to withstand wind load is less likely to require frequent repairs or replacements, which can be expensive and have negative environmental impacts.…”

Section: Applicationmentioning

confidence: 99%

A Numerical Method for Conformal Mapping of Closed Box Girder Bridges and Its Application

Zhou

Zhang

et al. 2023

Sustainability

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Conformal mapping has achieved many successes in engineering. It can help to solve some complex fluid flow problems. This study proposed a numerical method for conformal mapping of closed box girder bridges and applied it to flutter performance prediction, which is crucial for ensuring the safety and sustainability of bridge structures. The characteristics of conformal mapping coefficients for the closed box were investigated. Thereafter, a numerical method through searching the conformal mapping coefficients was presented. The results show that the proposed numerical method has a smaller error in the existing research. The conformal mapping of six practical bridges agrees well with the closed box girder shapes, indicating the validity of the proposed method. The flutter prediction results by the proposed method are consistent with the wind tunnel test. The conformal mapping and flutter calculations took no more than ten seconds, showing high computing efficiency. This method is easier to understand and implement without complex mathematical derivation, which is helpful for the extensive application of conformal mapping in bridge engineering.

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“…The natural frequencies of structures, damping ratios, and mode shape vectors are structural modal parameters that could affect the structure's design. [3][4][5] In engineering, the most common methods of modal parameter identification are the traditional methods and the methods under ambient excitation. 6 The traditional method generates free vibrations by using artificial excitation.…”

Section: Introductionmentioning

confidence: 99%

Research on improved modal parameter identification method using Hilbert-Huang transform

Zhang

Chen

Yan

et al. 2023

Measurement and Control

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In the wind tunnel test, the full-bridge aeroelastic model needs to simulate both the shape and dynamic characteristics of the real bridge, and modal parameters are key dynamic parameters. Therefore, it is essential to identify the modal parameters of the model accurately. To get accurate modal parameters of the long-span bridge model in the wind tunnel test, the applications of the Hilbert-Huang transform for modal parameter identification were analyzed in this paper. Then a band-pass filter is designed to filter the original signal so that the intrinsic mode function obtained by empirical mode decomposition can satisfy the single-component signal requirement and eliminate the mode mixing effect effectively. Meanwhile, the endpoint data extension method based on SVM (Support Vector Machine) was presented to restrain the end effects of empirical mode decomposition. Finally, taking the Oujiang Bridge as the engineering background, the improved algorithm was applied to modal parameter identification of the bridge under ambient excitation. The modal parameters such as modal frequency and damping ratio were obtained. The reliability of the improved method was verified by comparing the identified modal parameters with the results of the finite element method, and it turns out that the improved method can reduce the frequency identification error of vertical bend, lateral bend, and torsion to 1.01%, 4.07%, and 1.68%. The results indicated that the improved method based on the Hilbert-Huang transform can accurately identify the main modal parameters of the structure and can be better applied to identify the modal parameters of long-span bridge structures.

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Vibration phase difference analysis of long-span suspension bridge during flutter

Cited by 21 publications

References 28 publications

Study of Nonlinear Aerodynamic Self-Excited Force in Flutter Bifurcation and Limit Cycle Oscillation of Long-Span Suspension Bridge

Study of Nonlinear Aerodynamic Self-Excited Force in Flutter Bifurcation and Limit Cycle Oscillation of Long-Span Suspension Bridge

A Numerical Method for Conformal Mapping of Closed Box Girder Bridges and Its Application

Research on improved modal parameter identification method using Hilbert-Huang transform

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