In-plane modal frequencies and mode shapes of two stay cables interconnected by uniformly distributed cross-ties

• Published in: Journal of sound and vibration 2018-03, Vol.417, p.38-55
• Main Authors: Jing, Haiquan, He, Xuhui, Zou, Yunfeng, Wang, Hanfeng
• Format: Article
• Language: English
• Subjects: Cable vibration; Cable-stayed bridge; Cable-stayed bridges; Cables; Continually distributed interconnection; Crossties; Delay; Load bearing elements; Mathematical models; Mechanics; Mode localization; Numerical methods; Stress concentration; Structural members; Vibration; Vibration control
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2017.12.004

Stay cables are important load-bearing structural elements of cable-stayed bridges. Suppressing the large vibrations of the stay cables under the external excitations is of worldwide concern for the bridge engineers and researchers. Over the past decade, the use of crosstie has become one of the most practical and effective methods. Extensive research has led to a better understanding of the mechanics of cable networks, and the effects of different parameters, such as length ratio, mass-tension ratio, and segment ratio on the effectiveness of the crosstie have been investigated. In this study, uniformly distributed elastic crossties serve to replace the traditional single, or several cross-ties, aiming to delay “mode localization.” A numerical method is developed by replacing the uniformly distributed, discrete elastic cross-tie model with an equivalent, continuously distributed, elastic cross-tie model in order to calculate the modal frequencies and mode shapes of the cable-crosstie system. The effectiveness of the proposed method is verified by comparing the elicited results with those obtained using the previous method. The uniformly distributed elastic cross-ties are shown to significantly delay “mode localization.” •Uniformly distributed elastic crossties (UDEC) delay “mode localization”.•Closed-form solutions to two equal-length cables with UDEC are derived.•A numerical procedure is developed to solve the general two cables with UDEC.•The numerical procedure is confirmed to be effective.