Abstract
In the maintenance of cable structures, such as cable-stayed bridges and extra-dosed bridges, it is necessary to estimate the tension acting on the cables. The safety of a cable is confirmed by checking whether the tension acting on the cable is within the allowable value. In current Japanese practice, the tension of a cable is estimated using the vibration method or the higher-order vibration method, which considers the natural frequencies of the cable. However, in recent years, the aerodynamic vibration of cables caused by wind has become a problem owing to the recent increase in the cable length and low damping performance of the cable itself. To suppress the aerodynamic vibration of cables, dampers are installed onto the cables. Because the damper changes the cable’s natural frequencies, the vibration method and higher-order vibration method are inappropriate for measuring the tension of a cable with a damper. In this paper, a new tension estimation method for a cable with a damper is proposed. To model a cable with a tensioned Bernoulli-Euler beam, theoretical equations for estimating the natural frequencies were derived. The proposed method inversely estimates the tension and bending stiffness of the cable and damper parameters, simultaneously, from the natural frequencies. The validity of the proposed method was confirmed by conducting numerical simulations and experiments. In the numerical verification, the performance of the proposed method was investigated using 80 numerical models. In the experimental verification, the estimation accuracy of the proposed method was investigated by considering 16 test cases. Thus, it was confirmed that the tension estimation accuracy was high, whereas the bending stiffness and damper parameter estimation accuracy was unsatisfactory. The tension estimation error was within 10% in all experimental cases, and within 5% if two test cases are excluded. The results obtained by the numerical and experimental verifications confirmed the effectiveness of the proposed method in tension estimation.
Highlights
In the maintenance of cable structures such as cable-stayed bridges and extra-dosed bridges, the estimation of tension acting on the cables plays an important role
The bending stiffness estimation accuracy was low compared with the tension estimation accuracy, because only the low frequencies from the first to the seventh modes were used in the estimation
This paper proposes a method for estimating the tension of a cable with a damper using the natural frequencies
Summary
In the maintenance of cable structures such as cable-stayed bridges and extra-dosed bridges, the estimation of tension acting on the cables plays an important role. The tension of cables is measured either using a direct measuring method with devices such as a load cell or hydraulic jack, or using an indirect estimation method that considers the cable’s vibration characteristics. The former method is difficult to apply in practical situations owing to the high cost and required installation of Tension of Cable With Damper complicated devices. The effect of the bending stiffness is considered in the form of a correlation factor In this method, it is necessary to determine the bending stiffness of the cable in advance. The correct bending stiffness is difficult to determine because bridge cables are typically PC (prestressed concrete) steel strands rather than single steel wires
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