Stability of two-degrees-of-freedom aero-elastic models with frequency and time variable parametric self-induced forces

Náprstek, Jiřı́; Pospı́šil, Stanislav; Yau, J. D.

doi:10.1016/j.jfluidstructs.2015.05.010

Cited by 16 publications

(3 citation statements)

References 27 publications

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“…The Jacobian matrix of the state-space Equation ( 14) is obtained according to the rule in Equation (17).…”

Section: Proof Of Hopf Bifurcationmentioning

confidence: 99%

“…They can only solve the flutter critical state of the aerodynamic selfexcited system. For example, Náprstek et al proposed stability conditions and unified linear variables for bluff bridge deck sections under unsteady flow [16,17]. However, as the span of suspension bridges increases, the vibration response of bridges after flutter becomes increasingly important.…”

Section: Introductionmentioning

confidence: 99%

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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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“…The Jacobian matrix of the state-space Equation ( 14) is obtained according to the rule in Equation (17).…”

Section: Proof Of Hopf Bifurcationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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“…Simultaneously, aerodynamic damping coefficients of the Kao-Pin Hsi bridge-deck section become negative, which can cause negative modal damping of the system that can lead to occurrence of the coupled flutter. The critical flutter wind velocity for torsional instability of the studied bridge-deck section is estimated in [22] and it is equal to v cr = 6.9 m/s in the wind tunnel. When transferring these results onto the prototype bridge, the wind velocity at which this instability would occur is around 1800 m/s indicating that this bridge is completely safe with respect to torsional instability.…”

Section: Analysis Of Bridge-section Flutter Derivatives In Comparison...mentioning

confidence: 99%

Flutter Derivatives of the Kao-Pin Hsi Cable-Supported Bridge

Buljac

Pospı́šil

Kozmar

et al. 2016

AMM

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Long-span cable-supported bridges, characterized with low natural frequencies and mechanical damping, are very sensitive to wind effects. Therefore, investigation of the aeroelastic behaviour of bridges is particularly important when designing these complex engineering structures. The focus is on evaluation of dimensionless aeroelastic coefficients, i.e. flutter derivatives, which are considered as indicators of the aeroelastic stability of bridges. A comprehensive experimental study on dynamic wind-induced behaviour of the Kao-Pin Hsi Bridge in Taiwan is carried out in the Climatic Wind Tunnel of the Centre of Excellence Telč (CET), Czech Republic. The bridge-deck section is tested at a multipurpose experimental setup originally developed in the CET. Flutter derivatives are obtained by the means of the free-vibration technique for the double-degree-of-freedom (DDOF) system. The results are compared to those of a thin flat plate with large width to height ratio, which previously proved to be stable with respect to the flutter phenomenon. While the torsional instability is observed for the Kao-Pin Hsi bridge-deck section, the flat plate proves to be aeroelastically stable.

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Stability of three degrees-of-freedom auto-parametric system

Amer

Abolila

et al. 2022

Alexandria Engineering Journal

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Stability of two-degrees-of-freedom aero-elastic models with frequency and time variable parametric self-induced forces

Cited by 16 publications

References 27 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

Flutter Derivatives of the Kao-Pin Hsi Cable-Supported Bridge

Stability of three degrees-of-freedom auto-parametric system

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