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Nonlinear dynamic response of stay cables under axial harmonic excitation
Authors:Xu Xie  He Zhang and Zhi-cheng Zhang
Institution:Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China
Abstract:This paper proposes a new numerical simulation method for analyzing the parametric vibration of stay cables based on the theory of nonlinear dynamic response of structures under the asynchronous support excitation.The effects of important parameters related to parametric vibration of cables,I.e., characteristics of structure,excitation frequency,excitation amplitude,damping effect of the air and the viscous damping coefficient of the cables,were investigated by using the proposed method for the cables with significant length difference as examples.The analysis results show that nonlinear finite element method is a powerful technique in analyzing the parametric vibration of cables,the behavior of parametric vibration of the two cables with different Irvine parameters has similar properties,the amplitudes of parametric vibration of cables are related to the frequency and amplitude of harmonic support excitations and the effect of distributed viscous damping on parametric vibration of the cables is very small.
Keywords:Stay cables  Parametric vibration  Nonlinear vibration  Viscous damping
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