Exact algorithm for cable saddle of suspension bridgeinfluences by frictional resistance(PDF)
长安大学学报（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]
- Issue:
- 2019年02期
- Page:
- 57-64
- Research Field:
- 桥梁与隧道工程
- Publishing date:
Info
- Title:
- Exact algorithm for cable saddle of suspension bridgeinfluences by frictional resistance
- Author(s):
- HE Shuanhai1; CHEN Yinghao2; LI Yuan1
- （1. Key Laboratory of Old Bridge Detection Reinforcement Technology Ministry of Transport, Changan University,Xian 710064, Shaanxi, China; 2. Research Institute of Highway, Ministry of Transport, Beijing 100088, China）
- Keywords:
- bridge engineering; suspension bridge; analytical algorithm; cable saddle position; predeviation; frictional resistance
- PACS:
- -
- DOI:
- -
- Abstract:
- To simulate the position of cable saddle in suspension bridge analysis and calculation precisely, and provide references for the design, construction, and monitoring of suspension bridges, an analytical algorithm were proposed. The influence of frictional resistance between the main cable and cable saddle on the cable saddle position was considered in the algorithm. The calculation formula of the friction coefficient was derived using Eulers formula. The mathematical model and Hookes law of the saddle was established, and the calculation method of the friction between the main cable and saddle was determined. The cable saddle calculation model was determined on the basis of elastic catenary and static equilibrium equation, considering the relation between mechanics and geometry. The calculation formula was derived based on the deviation between the coordinates of the original cable saddle position and the position of cable saddle in balanced state. Jacobian Matrix was introduced to cyclically solve this problem through Newtons method， cyclic iteration significantly decreases the deviation value considering the prescribed limit， and the cable saddle elements were assumed to achieve balanced position. At the same time, the tangent stiffness matrix was deduced. A cable saddle simulation method which applicable to finite elements was proposed，and the concept of temperature retractable pole was used in simulating the cable saddle of suspension bridge during construction, combined with the analytical algorithm and numerical algorithm. The calculating accuracy of alignment of the main cable during construction was improved，and iterative computation of the MATLAB program was used. The reliability of the algorithm was validated， by comparing two examples， and the trend of the influence of frictional resistance in cable saddle position was demonstrated, by changing the value of frictional resistance. The results show that the proposed analytical algorithm can exactly simulate the cable saddle position， and has good convergence. The influence of frictional resistance on cable saddle position is negligible. Thus, it may be ignored in a simplified calculation. However, especially in force analysis for the long span and multispan suspension bridges, the influence should be taken into account. 2 tabs, 7 figs, 27 refs.
Last Update: 2019-04-01