# Newton Iteration Method for Analysis of Suspension Cable

Authors
Jian Qin, Yierta Ba, Yan Ding, Jieming Bai, Hongqiang Zhang
Corresponding Author
Jian Qin
Available Online August 2015.
DOI
https://doi.org/10.2991/msam-15.2015.79How to use a DOI?
Keywords
suspension cable; catenary; stiffness matrix; iteration; form-finding
Abstract
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

Volume Title
Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics
Series
Publication Date
August 2015
ISBN
978-94-6252-104-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/msam-15.2015.79How to use a DOI?
Open Access

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  -