Dynamic response of a guy line of a guyed tower to stochastic wind excitation: 3D non-linear small-sag cable model
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West Pomeranian University of Technology, Szczecin, Poland
Calisia University, Kalisz, Poland
Submission date: 2023-11-30
Acceptance date: 2024-01-08
Online publication date: 2024-03-21
Publication date: 2024-04-30
Corresponding author
Hanna Weber   

Faculty of Civil and Environmental Engineering, West Pomeranian University of Technology in Szczecin, AL. Piastów 50, 70-311, Szczecin, Poland
Journal of Theoretical and Applied Mechanics 2024;62(2):307-319
In the proposed approach, a 3D response of the guy line treated as a small-sag cable is considered. The strong dynamic wind action leads to the base motion excitation of the guy line. Longitudinal cable displacements are coupled with lateral ones. Hamilton’s principle and Galerkin method are used to obtain the set of differential equations of motion. The cable excitation is assumed as a narrow-band stochastic process modelled as a response of an auxiliary linear filter to a Gaussian white noise process. The equivalent linearization technique is applied to obtain approximate analytical results verified against the numerical Monte Carlo simulation.
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