Galloping Stability Criterion for a 3-DOF System Considering Aerodynamic Stiffness and Inertial Coupling
Publication: Journal of Structural Engineering
Volume 148, Issue 6
Abstract
Inertial coupling and aerodynamic stiffness play important roles in the prediction of galloping stability but have rarely been considered in previous studies. By considering both factors together, a galloping stability criterion framework for a three-degree-of-freedom (3-DOF) system with various translational and torsional frequency combinations was established based on quasi-steady theory. For a system with discrete frequencies, analytical solutions of eigenvalue real parts were derived using a step-by-step perturbation method. A perturbation method based on repeated eigenvalues was used to solve a system with two close translational frequencies and the corresponding analytical solution. When a system had tuned 3-DOF frequencies, an alternative galloping stability criterion considering the influence of aerodynamic stiffness was proposed to estimate galloping under high wind speed. Wind tunnel test results and numerical simulations of a six-bundle conductor with D-shaped icing were employed to verify the validity of the proposed galloping stability criterion framework. Comparisons of the proposed criterion with other existent galloping theories showed that both aerodynamic stiffness and inertial coupling have significant effects on the initiation of galloping. The contribution of inertial coupling becomes significant under high wind speeds where a higher aerodynamic stiffness emerges. Applying an eccentric mass can improve the galloping stability of a system by producing gravity stiffness and inertial coupling. This finding may provide practical guidance for antigalloping design.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The work described in this paper was partially supported by the National Natural Science Foundation of China (Project Nos. 51838012 and 51978614) and the Zhejiang Provincial Natural Science Foundation of China (Project No. LY19E080026). This support is much appreciated.
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Published In
Journal of Structural Engineering
Volume 148 • Issue 6 • June 2022
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© 2022 American Society of Civil Engineers.
History
Received: May 10, 2021
Accepted: Jan 5, 2022
Published online: Mar 17, 2022
Published in print: Jun 1, 2022
Discussion open until: Aug 17, 2022
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Cited by
- Zuopeng Wen, Wenjuan Lou, Jiang Yu, Haiwei Xu, Galloping Mechanism of a Closely Tuned 3-DOF System Considering Aerodynamic Stiffness, Journal of Structural Engineering, 10.1061/JSENDH.STENG-11829, 149, 4, (2023).
- Zuopeng Wen, Haiwei Xu, Wenjuan Lou, Eccentricity-induced galloping mechanism of a vertical-torsional coupled 3-DOF system, Journal of Wind Engineering and Industrial Aerodynamics, 10.1016/j.jweia.2022.105174, 229, (105174), (2022).