Technical Papers
May 28, 2014

New Method for Shape Finding of Self-Anchored Suspension Bridges with Three-Dimensionally Curved Cables

Publication: Journal of Bridge Engineering
Volume 20, Issue 2

Abstract

A method for the shape finding of a specific type of self-anchored suspension bridge whose main cable is three-dimensionally curved is proposed in this study. The method, referred to as the coordinate iteration method (CIM), is developed from the force equilibrium features of the rational arch axis for suspension cables modeled by truss-cable elements. By establishing the linear iterative equations in terms of unknown coordinates and updating the relation matrices iteratively, a trial profile of the three-dimensional cable-only system easily and stably converges to the target system. The CIM is then extended to the shape finding of the total bridge system with the aid of a specific numerical model proposed in this study referred to as the indiscrimination coordinate rod model (ICRM). This model is used to simulate the core deformation effects of the total bridge. The detailed procedure undertaken to establish a finite-element model of the equilibrium system for the finished dead load state based on CIM and ICRM is also presented. The precision and efficiency of the method are demonstrated through actual numerical examples.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This work is a part of a funded research project (2013M531698) supported by the China Postdoctoral Science Foundation. The authors thank the Tianjin Urban Construction Design Institute for valuable data and Prof. G. H. Du at Tongji University for significant suggestions.

References

Arie, R., Reza, S., and David, V. G. (2008). “Parametric study on static behaviour of self-anchored suspension bridges.” Int. J. Steel Struct., 8(2), 91–108.
Brotton, D. M. (1963). “The solution of suspension bridge problems by digital computers—Part II.” Struct. Eng., 41(4), 213–230.
Ernst, H. J. (1965). “Der E-modul von seilen unter berueck-sichtigung des durchhanges.” Der Bauingenieur, 40(2), 52–55.
FORTRAN 95 [Computer software]. Washington, DC, American National Standards Institute (ANSI).
Gil, H., and Cho, C. (1998). “Yong Jong Grand Suspension Bridge, Korea.” Struct. Eng. Int., 8(2), 97–98.
Han, Y., Chen, Z. Q., Luo, S. D., and Yang, S. K. (2007). “Calculation method for the shape-finding of self-anchored suspension bridge with spatial cables.” J. Hunan Univ. (Nat. Sci.), 34(12), 20–25 (in Chinese).
He, Y. B., Shi, X. F., and Geng, S. B. (2009). “Calculation of unloaded cable shape of self-anchored suspension bridge.” J. Shijiazhuang Railway Inst. (Nat. Sci.), 22(3), 2225–2233 (in Chinese).
Hu, J. H., Tang, M. L., Cui, J. F., and Peng, S. E. (2007). “Research of design method for dead load hanger tensions of self-anchored suspension bridges.” Bridge Constr., 2, 39–42 (in Chinese).
Kim, H. K., and Chang, S. P. (1997). “Determination of initial configuration of a self-anchored suspension bridge by introducing initial axial force.” J. Korean Soc. Civ. Eng., 17(1–2), 197–205.
Kim, H.-K., and Kim, M.-Y. (2012). “Efficient combination of a TCUD method and an initial force method for determining initial shapes of cable-supported bridges.” Int. J. Steel Struct., 12(2), 157–174.
Kim, H.-K., Lee, M.-J., and Chang, S.-P. (2002). “Non-linear shape-finding analysis of a self-anchored suspension bridge.” Eng. Struct., 24(12), 1547–1559.
Kim, H.-K., Lee, M.-J., and Chang, S.-P. (2006). “Determination of hanger installation procedure for a self-anchored suspension bridge.” Eng. Struct., 28(7), 959–976.
Kim, K.-S., and Lee, H. S. (2001). “Analysis of target configurations under dead loads for cable-supported bridges.” Comput. Struct., 79(29–30), 2681–2692.
Kiureghian, A. D., and Sackman, J. L. (2005). “Tangent geometric stiffness of inclined cables under self-weight.” J. Struct. Eng., 941–945.
Knudson, W. C. (1971). “Static and dynamic analysis of cable net structures.” Ph.D. dissertation, Univ. of California, Berkeley, CA.
Kong, W., Xiong, X., and Xue, Q. L. (2009). “Study of the initial prestress for guyed transmission tower.” Proc., 2009 Int. Workshop on Information Security and Application, Academy Publisher, Oulu, Finland, 405–408.
Lawrie, R. A., and Huang, H. X. (2006). “A construction solution for self anchored suspension bridges.” Proc., 5th Int. Cable-Supported Bridge Operators Conf., Water and Earth Sciences, New York, 31–37.
Lei, J. Q., Zheng, M. Z., and Xu, G. Y. (2002). Suspension bridge design, China Communications Press, Beijing (in Chinese).
Li, C. X., Ke, H. J., Liu, H. B., and Xia, G. Y. (2010). “Determination of finished bridge state of self-anchored suspension bridge with spatial cables.” Chin. Eng. Mech., 27(5), 137–146 (in Chinese).
Li, C. X., Liu, G. D., and Ke, H. J. (2008). “A convergent algorithm for numerical-analytic method of calculating main cable system of suspension bridge.” Chin. Eng. Mech., 25(7), 66–73 (in Chinese).
Li, X. Z., and Qiang, S. Z. (1999). “Geometric form analysis of suspension bridge free cable.” J. Chongqing Jiaotong Inst., 18(3), 7–13 (in Chinese).
Lu, N. L., Lan, P., and Li, L. (1998). “Application of FEM of beam element with theory of II order.” J. Harbin Univ. Civ. Eng. Arch., 31(4), 67–74 (in Chinese).
Luo, D. S. (2009). “Mechanical characteristics of the suspension bridge with 3D-cable and analysis of the 3D-linetype for posts.” Ph.D. dissertation, Dalian Univ. of Technology, Dalian, China (in Chinese).
Luo, X. H. (2004a). “Cable finish stage of datum strand for suspension bridge.” Struct. Eng., 20(3), 21–26 (in Chinese).
Luo, X. H. (2004b). “Numerical analysis method for cable system of suspension bridges.” J. Tongji Univ., 32(4), 441–445 (in Chinese).
Luo, X. H., Xiao, R. C., and Xiang, H. F. (2004). “Cable shape analysis of suspension bridge with spatial cables.” J. Tongji Univ. (Nat. Sci.), 32(10), 1349–1354 (in Chinese).
Ochsendorf, J. A., and Billington, D. P. (1999). “Self-anchored suspension bridges.” J. Bridge Eng., 151–156.
Pan, Y. R., and Fan, L. C. (2001). “Backward analysis method of long-span suspension bridges for erection of stiffening girders.” J. Tongji Univ., 29(5), 510–514 (in Chinese).
Peng, M. (2008). “Nonliear analysis and determination of finished state for spatial self-anchored suspension bridge.” Ph.D. dissertation, Wuhan Univ. of Technology, Wuhan, China (in Chinese).
Seible, F., Dazio, A., and Restrepo, J. I. (2005). “Proof testing in support of the new San Francisco-Oakland Bay Bridge.” Earthquake Eng. Struct. Dyn., 34(4–5), 369–391.
Sun, J., Manzanarez, R., and Nader, M. (2002). “Design of looping cable anchorage system for new San Francisco–Oakland Bay Bridge main suspension span.” J. Bridge Eng., 315–324.
Sun, J., Manzanarez, R., and Nader, M. (2004). “Suspension cable design of the new San Francisco–Oakland Bay Bridge.” J. Bridge Eng., 101–106.
Tang, M. L., Qiang, S. Z., and Shen, R. L. (2003). “Segmental catenary method of calculating the cable curve of suspension bridge.” J. China Railway Soc., 25(1), 87–91 (in Chinese).
Vu, T.-V., Lee, H.-E., and Bui, Q.-T. (2012). “Nonlinear analysis of cable-supported structures with a spatial catenary cable element.” Struct. Eng. Mech., 43(5), 583–605.
Wang, G. D., and Zhong, S. B. (2000). Arch bridge, China Communications Press, Beijing (in Chinese).
Wang, X. M., He, Y. B., Shi, X. F., and Ruan, X. (2010). “Initial equilibrium state analysis of self-anchored suspension bridge with spatial cables.” J. Tongji Univ. (Nat. Sci.), 38(5), 625–631 (in Chinese).
WISEPLUS 2.0 [Computer software]. Shanghai, China, WISEPLUS Software.
Yao, L. S. (1984). Bridge engineering, China Communications Press, Beijing (in Chinese).
Yuan, X. F., and Dong, S. L. (1999). “A two-node curved cable element for nonlinear analysis.” Chin. Eng. Mech., 16(4), 59–64 (in Chinese).
Zhang, Q. L. (2002). Cable and membrane structures, Tongji University Press, Shanghai, China (in Chinese).
Zhu, B. F. (1979). The finite element method theory and applications, China Water Conservancy & Hydropower Press, Beijing.

Information & Authors

Information

Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 20Issue 2February 2015

History

Received: Sep 26, 2013
Accepted: Apr 18, 2014
Published online: May 28, 2014
Published in print: Feb 1, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

Postdoctoral Researcher, School of Civil Engineering and Mechanics, Huazhong Univ. of Science and Technology, Wuhan, Hubei 430074, P.R. China (corresponding author). E-mail: [email protected]
Hong-Ping Zhu [email protected]
Professor, School of Civil Engineering and Mechanics, Huazhong Univ. of Science and Technology, Wuhan, Hubei 430074, P.R. China. E-mail: [email protected]
Professor, School of Civil Engineering, Tongji Univ., Shanghai 200092, P.R. China. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share