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| Analytical algorithm and influence analysis of sliding cable structure considering friction contact |
| Received:October 25, 2022 Revised:May 23, 2025 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20221025001 |
| KeyWord:sliding cable structure numerical analytical algorithm friction contact catenary theory nonlinear equations |
| Author | Institution |
| 朱伟华 |
长沙理工大学 土木工程学院, 长沙 |
| 颜东煌 |
长沙理工大学 土木工程学院, 长沙 |
| 许红胜 |
长沙理工大学 土木工程学院, 长沙 |
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| Abstract: |
| In order to study the geometric nonlinearity of a sliding cable and the nonlinearity of friction contact between a cable and a pulley,an analytical algorithm for solving the equilibrium state of a sliding cable is proposed.According to the differential equation of equilibrium considering the friction effect between the sliding cable and the pulley,the formulas for calculating the mechanical equilibrium,stress-free length and geometric length of the cable at the pulley are derived.Based on the conservation of stress-free length of the cable,the closure conditions of inter-span height and span,and the mechanical equilibrium condition of the pulley,the nonlinear equations of equilibrium of the sliding cable under its own weight are established.Based on the conservation of stress-free length of a cable segment,the mechanical equilibrium condition of a cable joint,the mechanical equilibrium condition of the pulley,the closure condition of height and horizontal spacing between spans and the conservation principle of stress-free length between adjacent nodes at the pulley,the nonlinear equations of equilibrium of the loaded sliding cable are established.The solution of the equilibrium state is obtained.The results show that the algorithm is a refined algorithm which is closer to the actual engineering situation.The pulley radius and the friction coefficient can be properly adjusted to change the stress-free length and cable force distribution of each cable span. |
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