Cable force estimation of cables with small sag considering inclination angle effect
Open Access
- 6 May 2021
- journal article
- research article
- Published by Springer Science and Business Media LLC in Advances in Bridge Engineering
- Vol. 2 (1), 1-22
- https://doi.org/10.1186/s43251-021-00037-8
Abstract
Cable force estimation is essential for security assessment of cable-stayed bridges. Cable force estimation methods based on the relationship between cable force and frequency have been extensively studied and used during both construction phase and service phase. However, the effect induced by inclination angle of the cable is not included in the establishment of frequency-cable force relationship as horizontal cable model is normally employed. This study aims to investigate the influence of the inclination angle on vibration based cable force estimation and provide practical formulas accordingly. Firstly numerical examples of fixed-fixed and hinged-hinged cables are simulated to illustrate the necessity of considering the inclination angle effect on the modal parameters and cable force estimation for inclined cables with small sag. Then practical formulas considering the inclination angle effect to estimate the cable force of fixed-fixed and hinged-hinged cables via the fundamental frequency are established accordingly. For the inclined cables with unknown boundary conditions, the coefficients reflecting boundary condition are predicted via the practical formulas for fixed-fixed and hinged-hinged cables. And the cable force considering the influence of inclination angle and unknown boundary conditions is obtained by iteration method. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed method.Keywords
Funding Information
- National Natural Science Foundation of China (51878234, 51778204)
- Fundamental Research Funds for the Central Universities (JZ2019HGPA0101)
- Shenzhen Science and Technology Program (KQTD20180412181337494)
This publication has 19 references indexed in Scilit:
- An accurate frequency-based method for identifying cable tension while considering environmental temperature variationJournal of Sound and Vibration, 2020
- Temperature-insensitive cable tension monitoring during the construction of a cable-stayed bridge with a custom-developed pulse elasto-magnetic instrumentStructural Health Monitoring, 2018
- A novel tension estimation approach for elastic cables by elimination of complex boundary condition effects employing mode shape functionsEngineering Structures, 2018
- A highly precise frequency-based method for estimating the tension of an inclined cable with unknown boundary conditionsJournal of Sound and Vibration, 2017
- Unified Practical Formulas for Vibration-Based Method of Cable Tension EstimationAdvances in Structural Engineering, 2015
- Determination of cable force based on the corrected numerical solution of cable vibration frequency equationsSTRUCTURAL ENGINEERING AND MECHANICS, 2014
- Practical Formula for Cable Tension Estimation by Vibration MethodJournal of Bridge Engineering, 2012
- Determination of the axial force on stay cables accounting for their bending stiffness and rotational end restraints by free vibration testsJournal of Sound and Vibration, 2008
- Dynamic Tests on Large Cable-Stayed BridgeJournal of Bridge Engineering, 2001
- Unified Finite Difference Formulation for Free Vibration of CablesJournal of Structural Engineering, 1998