| 朱伟华,颜东煌,许红胜.考虑摩擦接触的滑移索结构解析算法及参数影响分析[J].计算力学学报,2025,42(3):499~503,512 |
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| 考虑摩擦接触的滑移索结构解析算法及参数影响分析 |
| Analytical algorithm and influence analysis of sliding cable structure considering friction contact |
| 投稿时间：2022-10-25 修订日期：2025-05-23 |
| DOI：10.7511/jslx20221025001 |
| 中文关键词: 滑移索结构 数值解析算法 摩擦接触 悬链线理论 非线性方程组 |
| 英文关键词:sliding cable structure numerical analytical algorithm friction contact catenary theory nonlinear equations |
| 基金项目:湖南省教育厅科学研究项目优秀青年科学项目(24B0734)资助. |
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| 摘要点击次数: 5 |
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| 中文摘要: |
| 为了研究滑移索几何非线性及缆索与滑轮间摩擦接触非线性的问题,提出求解滑移索平衡态的解析算法。根据计入滑移索与滑轮摩擦效应的平衡微分方程,推导缆索在滑轮处力学平衡、无应力长度及几何长度计算公式。基于缆索无应力长度守恒、跨间高度及跨度闭合条件与滑轮处力学平衡条件,建立自重下滑移索的平衡态非线性方程组;由索段无应力长度守恒、索段节点力学平衡条件、滑轮处力学平衡条件、跨间高度与水平间距闭合条件及滑轮处相邻节点间无应力长度守恒原则,建立受载下滑移索的平衡态非线性方程组;求解非线性方程组,实现平衡状态求解。结果表明,解析算法为更接近实际工程情况的精细化算法,适当调整滑轮半径及摩擦系数可改变各跨缆索无应力长度及缆力分布。 |
| 英文摘要: |
| 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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