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Effects of stiffness, damping and wind loads on suspension bridges' vortex vibration postprint

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Abstract:
The low stiffness of the suspension bridge makes it sensitive to wind-induced vortex vibrations, and wind loads may induce its complex abnormal motions. We use the partial differential equation, which models the vertical bending motion of suspension bridges to qualitatively research the effects of stiffness, damping, and wind loads on the vortex-induced vibrations of suspension bridges.First, the Galerkin method truncates the nonlinear partial differential equations in the first two-order symmetric bending modes and obtains two second-order nonlinear ordinary differential equations.Then, the multi-scale method is used to obtain the approximate analytical solution of the primary resonance.Finally, the characteristics of wind-induced vortex vibrations of the Humen Bridge are analyzed through approximate analytical solutions.The research results show that:The cubic nonlinear term of the mathematical model significantly impacts the nonlinear vibrations of the structure; When the vortex-induced load frequency is less than the modal frequency of the suspension bridge, vibrational amplitude's jump phenomenon may occur with the change of the wind load; Structural damping and stiffness have apparent effects on the vortex-induced vibrations of the suspension bridge, and the vibration amplitude may decrease significantly with the increase of damping and stiffness.

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[V1] 2024-10-28 16:01:44 ChinaXiv:202411.00036V1 Download
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