ARTICLE
Dynamic response of a guy line of a guyed tower to stochastic wind excitation: 3D non-linear small-sag cable model
1
West Pomeranian University of Technology, Szczecin, Poland
2
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
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
KEYWORDS
equivalent linearization techniquenon-linear systemsmall-sag cablespatial responsestochastic dynamics
TOPICS
ABSTRACT
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.
REFERENCES (17)
1.
Atalik T.S., Utku S., 1976, Stochastic linearization of multi-degree-of-freedom nonlinear systems, Earthquake Enginering Structures Dynamics, 4, 411-420.
2.
Biliszczuk J., Hawryszków P., Teichgraeber M., 2021, SHM system and a FEM model-based force analysis assessment in stay cables, Sensors, 21, 6, 1927.
3.
Caracoglia L., Zuo D., 2009, Effectiveness of cable networks of various configurations in suppressing stay-cable vibration, Engineering Structures, 31, 12, 2851-2864.
4.
Chen Z., Yu Y.,Wang X.,Wu X., Liu H., 2015, Experimental research on bending performance of structural cable, Construction and Building Materials, 96, 279-288.
5.
Georgakis C.T., Taylor C.A., 2005, Nonlinear dynamics of cable stays. Part 2: Stochastic cable support excitation, Journal of Sound and Vibration, 281, 3-5, 565-591.
6.
Ha M.-H., Vu Q.-A., Truong V.-H., 2018, Optimum design of stay cables of steel cable-stayed bridges using nonlinear inelastic analysis and genetic algorithm, Structures, 16, 288-302.
7.
Irvine H.M., 1981, Cable Structures, The MIT Press, Cambridge, Massachusetts and London.
8.
Larsen A., Larose G.L., 2015, Dynamic wind effects on suspension and cable-stayed bridges, Journal of Sound and Vibration, 334, 2-28.
9.
Li J., Chen J., 2009, Stochastic Dynamics of Structures, John Wiley & Sons.
10.
Proppe C., Pradlwarter H.J., Schuëller G.I., 2003, Equivalent linearization and Monte Carlo simulation in stochastic dynamics, Probabilistic Engineering Mechanics, 18, 1, 1-15.
11.
Roberts J.B., Spanos P.D., 1990, Random Vibration and Statistical Linearization, John Wiley and Sons, New York
12.
Socha L., 2007, Linearization Methods for Stochastic Dynamic Systems, Springer, Berlin Heidelberg.
13.
Shi H., Salim H., 2015, Geometric nonlinear static and dynamic analysis of guyed towers using fully nonlinear element formulations, Engineering Structures, 99, 492-501.
14.
Weber H., Kaczmarczyk R., Iwankiewicz R., 2121, Non-linear response of cable-mass-spring system in high-rise buildings under stochastic seismic excitation, Materials, 14, 22, 6858.
15.
Xue S., Li X., Liu Y., 2022, Advanced form finding of cable roof structures integral with supporting frames: Numerical methods and case studies, Journal of Building Engineering, 60, 105204.
16.
Zhang W., Lu X., Wang Z., Liu Z., 2021, Effect of the main cable bending stiffness on flexural and torsional vibrations of suspension bridges: Analytical approach, Engineering Structures, 240, 112393.
17.
Zhu L., Chen T., Chen L., Lu Z., Hu X., Huang X., 2023, Experimental testing and residual performance evaluation of existing hangers with steel pipe protection taken from an in-service tied-arch bridge, Applied Sciences, 13, 19, 11070.
| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
