Effect of bending stiffness on the in-plane free vibration characteristics of a cable network
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DOI 10.1007/s12206-020-1006-6
Journal of Mechanical Science and Technology 34 (11) 2020 Original Article DOI 10.1007/s12206-020-1006-6 Keywords: · Cable networks · Bending stiffness · Free vibration characteristics · Parameter analysis · Vibration control
Correspondence to: Xiaoxia Zhen [email protected]
Effect of bending stiffness on the in-plane free vibration characteristics of a cable network Wei Chen1, Zhuojie Zhang2, Xiaoxia Zhen1 and Mingyang Li1 1
School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 2 510640, China, State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
Abstract
Citation: Chen, W., Zhang, Z., Zhen, X., Li, M. (2020). Effect of bending stiffness on the in-plane free vibration characteristics of a cable network. Journal of Mechanical Science and Technology 34 (11) (2020) 4439~4463. http://doi.org/10.1007/s12206-020-1006-6
Received February 6th, 2020 Revised
July 9th, 2020
Accepted August 6th, 2020 † Recommended by Editor No-cheol Park
Stay cables of cable-stayed bridges are connected by cross-ties to form a cable network, or the slings of the same suspension points on a suspension bridge are connected by vibration absorbers to form a sling network. As a result, the cable network’s in-plane free vibration characteristics are different from independent, single cables. However, stay cables or slings have certain bending stiffnesses, which directly affect the cable network’s free vibration characteristics. Therefore, to clarify the real dynamic behavior of a cable network and to improve the accuracy of cable network measurements, a multi-node, cross-tied, multilayer beam analytical model that considers the bending stiffness is proposed. The system equilibrium equation is established and the free vibration frequencies and modes of the system are obtained by analytical algorithm. Then, numerical simulations and field experiments, are carried out to verify the analytical results. In addition, parameter analyses with different configurations are performed on a multilayer stay-cable network and on a double-layer sling network to study the influence of bending stiffness on the cable network’s free vibration characteristics with different parameters.
1. Introduction
© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2020
The stay cables of cable-stayed bridges and the slings of suspension bridges are very important structural members in long-span bridges. However, due to their small damping and high flexibility, a single cable is prone to large vibrations under the excitation of wind or traffic loads. If the cable vibrations are not eliminated or controlled effectively, they can easily cause cable fatigue, damage to the casing protection layers, and even bridge destruction [1, 2]. To control the vibration of a single cable effectively, the multiple stay cables of a cable-stayed bridge are usually
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