Simple Analytical Model for Vibration Frequency Calculation of Anchor Span Strand in Suspension Bridges
Publication: Journal of Engineering Mechanics
Volume 143, Issue 10
Abstract
A simple analytical model for calculating the vibration frequencies of anchor span strands in suspension bridges is proposed in this study. The vibration frequencies of strands are important indicators of tension force and critical in construction control. Most existing methodologies either ignore the connecting rods in anchor spans or require a complex finite-element analysis to ensure accurate calculations. A simple model is proposed for rapid and efficient analysis that includes the geometric and material properties of connecting rods. The calculation results of the proposed model are compared with and verified against those of existing solutions in literature and finite-element simulations. Afterward, the proposed method is applied to the Nanxi Yangtze suspension bridge. The effects of the length and material parameters of connecting rods on the calculation of strand tensions are parametrically discussed. Conclusions and recommendations for future strand tension analysis and control are also presented.
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Acknowledgments
The research described in this paper was financially supported by the National Basic Research Program of China (973 Program 2015CB057701), the Natural Science Foundation of China (51308071), the Natural Science Foundation of Hunan Province (13JJ4057), the Foundation of China Scholarship Council (201408430155), and the Traffic Department of Applied Basic Research Project (2015319825120).
References
ANSYS [Computer software]. ANSYS, Canonsburg, PA.
Chen, L., and Sun, L. (2014). “Laboratory-scale experimental setup for studying cable dampers.” J. Eng. Mech., 04014159.
Chen, X., Matsumoto, M., and Kareem, A. (2000). “Aerodynamic coupling effects on flutter and buffeting of bridges.” J. Eng. Mech., 17–26.
Chen, Z., Yu, Y., Wang, X., Wu, X., and Liu, H. (2015). “Experimental research on bending performance of structural cable.” Constr. Build. Mater., 96, 279–288.
Choi, D. H., and Park, W. S. (2011). “Tension force estimation of extradosed bridge cables oscillating nonlinearly under gravity effects.” Int. J. Steel Struct., 11(3), 383–394.
Ciampoli, M., Petrini, F., and Augusti, G. (2011). “Performance-based wind engineering: Towards a general procedure.” Struct. Saf., 33(6), 367–378.
Fang, Z., and Wang, J. Q. (2012). “Practical formula for cable tension estimation by vibration method.” J. Bridge Eng., 161–164.
Gentile, C., and Saisi, A. (2007). “Ambient vibration testing of historic masonry towers for structural identification and damage assessment.” Constr. Build. Mater., 21(6), 1311–1321.
Hu, J., and Pai, P. F. (2011). “Experimental study of resonant vibrations of suspended steel cables using a 3D motion analysis system.” J. Eng. Mech., 640–661.
Huang, Z., and Jones, N. P. (2011). “Damping of taut-cable systems: Effects of linear elastic spring support.” J. Eng. Mech., 512–518.
Jiao, C. K., and Li, A. Q. (2013). “Influence of inelastic connection on seismic response of triple-tower suspension bridge.” China J. Highway Trans., 26(1), 98–105.
Johnson, E. A., Baker, G. A., Spencer, B. F. Jr., and Fujino, Y. (2007). “Semiactive damping of stay cables.” J. Eng. Mech., 1–11.
JTG (Jiao Tong Gong). (2014). “Design code for design of highway reinforced concrete and pre-stressed concrete bridge culvert.” JTG D62-2004, China.
Kangas, S., Helmicki, A., Hunt, V., Sexton, R., and Swanson, J. (2012). “Cable-stayed bridges: Case study for ambient vibration-based cable tension estimation.” J. Bridge Eng., 839–846.
Kim, B. H., and Park, T. (2007). “Estimation of cable tension force using the frequency-based system identification method.” J. Sound Vib., 304(3–5), 660–676.
Ko, J. M., and Ni, Y. Q. (2005). “Technology developments in structural health monitoring of large-scale bridges.” Eng. Struct., 27(12), 1715–1725.
Li, X. S., and Xiang, Y. Q. (2010). “Tension measurement formula of flexible hanger rods arch bridges based on vibration shape function of deflection curve.” Eng. Mech., 27(8), 174–178.
Liu, M. Y., Lin, L. C., and Wang, P. H. (2011). “Dynamic characteristics of the Kao Ping Hsi Bridge under seismic loading with focus on cable simulation.” Int. J. Struct. Stab. Dyn., 11(06), 1179–1199.
Main, J. A., and Jones, N. P. (2002). “Free vibrations of taut cable with attached damper. I: Linear viscous damper.” J. Eng. Mech., 1062–1071.
Martí-Vargas, J. R., and Hale, W. M. (2013). “Predicting strand transfer length in pretensioned concrete: Eurocode versus North American practice.” J. Bridge Eng., 1270–1280.
Mehrabi, A. B., and Tabatabai, H. (1998). “Unified finite difference formulation for free vibration of cables.” J. Struct. Eng., 1313–1322.
Ni, Y. Q., Ko, J. M., and Zheng, G. (2002). “Dynamic analysis of large-diameter sagged cables taking into account flexural rigidity.” J. Sound Vib., 257(2), 301–319.
Pan, Z., Fu, C. C., and Jiang, Y. (2011). “Uncertainty analysis of creep and shrinkage effects in long-span continuous rigid frame of Sutong Bridge.” J. Bridge Eng., 248–258.
Ricciardi, G., and Saitta, F. (2008). “A continuous vibration analysis model for cables with sag and bending stiffness.” Eng. Struct., 30(5), 1459–1472.
Song, Y. F., He, S. H., and Wu, X. P. (2001). “Energy method of the tension for fixed-end rigid cables.” J. Xi’an Highway Univ., 21(1), 55–57.
Turmo, J., and Luco, J. E. (2010). “Effect of hanger flexibility on dynamic response of suspension bridges.” J. Eng. Mech., 1444–1459.
Waisman, H., Montoya, A., Betti, R., and Noyan, I. C. (2011). “Load transfer and recovery length in parallel wires of suspension bridge cables.” J. Eng. Mech., 227–237.
Wang, D., Deng, J., Chen, C. M., and Liu, Y. (2015). “Analysis of calculation parameters influence on anchor span strand tension for long-span suspension bridge.” J. Highway Trans. Res. Devel., 32(1), 63–68.
Wang, H., Li, A., Niu, J., Zong, Z., and Li, J. (2013). “Long-term monitoring of wind characteristics at Sutong Bridge site.” J. Wind Eng. Ind. Aerod., 115(4), 39–47.
Xu, Y. L., Hu, L., and Kareem, A. (2014). “Conditional simulation of nonstationary fluctuating wind speeds for long-span bridges.” J. Eng. Mech., 61–73.
Ye, X. J., Yan, Q. S., and Li, J. (2012). “Modal identification and cable tension estimation of long span cable-stayed bridge based on ambient excitation.” J. Vib. Shock, 31(16), 157–163.
Yoo, H., Lee, S. H., and Lee, J. K. (2015). “Mechanism of bonding between Zn-Al-coated wires and Zn-Cu alloy casting medium in hot casting socket terminations for large bridge cables.” Constr. Build. Mater., 76(2), 396–403.
Yoshida, O., Okuda, M., and Moriya, T. (2004). “Structural characteristics and applicability of four-span suspension bridge.” J. Bridge Eng., 453–463.
You, Q., He, P., Dong, X., Zhang, X., and Wu, S. (2008). “Sutong Bridge: The longest cable-stayed bridge in the world.” Struct. Eng. Int., 18(4), 390–395.
Zhang, W., Cai, C. S., and Pan, F. (2013). “Finite element modeling of bridges with equivalent orthotropic material method for multi-scale dynamic loads.” Eng. Struct., 54(9), 82–93.
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©2017 American Society of Civil Engineers.
History
Received: Dec 2, 2015
Accepted: Mar 28, 2017
Published online: Jul 20, 2017
Published in print: Oct 1, 2017
Discussion open until: Dec 20, 2017
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