Nonlinear Analysis of Spatial Cable of Long-Span Cable-Stayed Bridge considering Rigid Connection
- 49 Downloads
To determine the cable sag effect and solve the rigid connection problem at cable ends of a long-span cable-stayed bridge, a two-node spatial catenary cable element with arbitrary rigid arms is developed. Using the finite rotation formula of the space vector and a differential method, the incremental relation between displacement and force at both ends of the rigid arm is given. Then, explicit expression of the tangent stiffness matrix of the element with arbitrary rigid arms is derived based on the catenary equations. Two numerical examples are provided to verify the validity of the new element. A long-span cable-stayed bridge application model is established, and the cables are simulated using three methods. The results show that the rigid end effect has influence on displacements, bending moments and rigidity and should not be ignored. The catenary cable element with arbitrary rigid arms can be used to simulate the geometric nonlinear mechanical behavior of the cables and can well solve the rigid connection problem.
Keywordscable-stayed bridge cable element sag effect rigid connection nonlinear analysis
Unable to display preview. Download preview PDF.
- Chen, W., Guan, F., and Yuan, X. (1999). “Analysis of nonlinear and linear factor’s influence on cable-stayed bridge construction control analysis.” China Journal of Highway and Transport, Vol. 11, No. 2, pp. 52–58. (in Chinese).Google Scholar
- Ernst, H. J. (1965). “The e-module of rope with consideration of the dip.” The Civil Engineering, Vol. 40, No. 1, pp. 52–55.Google Scholar
- Gimsing, N. J. (1997). Cable supported bridges: Concept and design, Second edition, John Wiley & Sons, London, England, pp. 208–319.Google Scholar
- Irvine, H. M. (1981). Cable structures, The MIT Press, Cambridge, MA, USA, pp. 43–84.Google Scholar
- Luo, X., Xiao, R., and Xiang, H. (2005). “Cable element based on exact analytical expressions.” Journal of Tongji University, Vol. 33, No. 4, pp. 445–450, DOI: 10.1007/s11769-005-0030-x.Google Scholar
- O’brien, T. W. (1967). “General solution of suspended cable problems.” Journal of the Structural Division, Vol. 93, No. 1, pp. 1–26.Google Scholar
- O’brien, T. W. and Francis, A. S. (1964). “Cable movements under twodimensional loads.” Journal of the Structural Division, Vol. 91, No. 4, pp. 193–195.Google Scholar
- Peyrot, A. H. and Goulois, A. M. (1978). “Analysis of flexible transmission lines.” Journal of the Structural Division, Vol. 104, No. 5, pp. 763–779.Google Scholar
- Yan, D. H., Tian, Z. C., and Li, X. W. (1999). Design of computer procedures for bridge structures, Press of Hunan University, Changsha, China, pp. 30–85. (In Chinese).Google Scholar