Newton Iteration Method for Analysis of Suspension Cable
Jian Qin, Yierta Ba, Yan Ding, Jieming Bai, Hongqiang Zhang
Available Online August 2015.
- https://doi.org/10.2991/msam-15.2015.79How to use a DOI?
- suspension cable; catenary; stiffness matrix; iteration; form-finding
- A Newton iteration method is proposed based on the analytic method of segmental catenary for the suspension cable. The method is developed from the Newton iteration method for the nonlinear equations according to the analysis of different common methods. The tangent stiffness matrix of the iteration method is presented and the characteristics of the stiffness matrix are discussed. Then the iterative calculation process of suspension cable’s form-finding for the specific engineering problem is listed. The method offers significant improvements in accuracy, efficiency and calculation amount of the solution, which can meet the needs of practical engineering. The results of the Newton iteration method are compared with the numerical results in other literatures and the contrast verifies the reliability of this method. The method is suitable for the analysis of suspension bridges, cargo ropeways and other various types of cable structures.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Jian Qin AU - Yierta Ba AU - Yan Ding AU - Jieming Bai AU - Hongqiang Zhang PY - 2015/08 DA - 2015/08 TI - Newton Iteration Method for Analysis of Suspension Cable BT - Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics PB - Atlantis Press SP - 350 EP - 354 SN - 1951-6851 UR - https://doi.org/10.2991/msam-15.2015.79 DO - https://doi.org/10.2991/msam-15.2015.79 ID - Qin2015/08 ER -