双承载索多跨索道鞍座两端拉力模型与验证

doi:10.11707/j.1001-7488.LYKX20250698

摘要/Abstract

摘要：

目的: 解决传统计算方法在双承载索多跨索道平曲鞍座两端承载索拉力分析中精度不足的问题，为双承载索多跨索道的结构设计和安全评估提供可靠的理论依据和技术支撑。方法: 综合考虑承载索自重及与鞍座间的摩擦效应，基于抛物线理论建立平曲鞍座两端拉力的力学模型，并引入弹性伸长、弦长缩短和温度变化等因素进行有荷补正。以厦门健康步道工程49#双承载索多跨索道为研究对象，在无荷与有荷状态下实测张力数据，对模型进行验证，并对关键参数进行敏感性分析。结果: 无荷状态下模型计算值与实测值的最大相对误差为3.42%，有荷状态下模型计算值与实测值的最大相对误差为3.95%，均小于工程允许的5%误差阈值。敏感性分析表明，摩擦系数是影响模型计算结果的关键敏感参数，其±10%的波动可导致拉力约±3%的计算偏差；温度变化的影响较小，其±10 ℃的波动引起的相对变化率低于1.1%。结论: 本研究建立的平曲鞍座两端拉力模型计算精度高、工程适用性强，可有效支撑双承载索多跨索道的张力控制、结构设计和安全评估工作。

关键词: 双承载索多跨索道, 平曲鞍座, 拉力模型, 抛物线理论, 敏感性分析

Abstract:

Objective: This study aims to address the problem of insufficient accuracy in traditional calculation methods for analyzing the tension of the carrying cables at both ends of horizontal-curved saddles in double-carrying-cable multi-span ropeways, and to provide a reliable theoretical basis and technical support for the design and safety assessment of such ropeways. Method: Considering the self-weight of the carrying cables and the friction effect between the cables and the saddles, a mechanical model of the cable tension at both ends of the horizontal-curved saddle was established based on the parabolic theory. Factors such as elastic elongation, chord length shortening, and temperature variation were incorporated to correct the model under loaded conditions. The 49# double-carrying-cable multi-span ropeway of the Xiamen Greenway Project was used as the research object, the tension data was measured under unloaded and loaded conditions to validate the model, and a sensitivity analysis was conducted on key parameters. Result: Under unloaded conditions, the maximum relative error between the model calculations and measured values was 3.42%, and under loaded conditions, the maximum relative error was 3.95%, both of which were lower than the engineering tolerance threshold of 5%. The sensitivity analysis indicated that the friction coefficient was a key sensitive parameter affecting the model's calculation results: a ±10% variation in the friction coefficient leads to approximately ±3% deviation in tension. Temperature variation had a smaller effect: a ±10 ℃ temperature fluctuation resulted in a relative change rate below 1.1%. Conclusion: The proposed tension model for both ends of the horizontal-curved saddle exhibits high calculation accuracy and strong engineering applicability, which can effectively support tension control, structural design, and safety assessment of double-carrying-cable multi-span cargo ropeways.

Key words: double-carrying-cable multi-span ropeway, horizontal-curved saddle, tension model, parabolic theory, sensitivity analysis

中图分类号:

S776.32

胡宝森,周成军,郑丽凤,巫志龙,周新年. 双承载索多跨索道鞍座两端拉力模型与验证[J]. 林业科学, 2026, 62(9): 53-61.

Baosen Hu,Chengjun Zhou,Lifeng Zheng,Zhilong Wu,Xinnian Zhou. Model and Verification of Tension at Both Ends of the Saddle of a Multi-Span Cableway with Double Carrying Cables[J]. Scientia Silvae Sinicae, 2026, 62(9): 53-61.

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测量内容 Measuring points	跨号Span-sign						合计 Aggregate
测量内容 Measuring points	1	2	3	4	5	6	合计 Aggregate
跨距Span/m	54.2	20.2	84.4	44.9	13.4	92.5	309.5
倾角Inclination angle/(°)	12.292	13.864	12.438	3.066	2.071	?0.96	42.772
斜距Slope distance/m	55.5	20.8	86.4	45.0	13.4	92.5	421.6

鞍座序号 Saddle serial number	左倾角 Left angle (β_i，L)/(°)	右倾角 Right angle (β_i，R)/(°)	包角 Wrap angle (β)/(°)	偏移角 Deviation angle (α)/(°)
1	8.300	15.312	23.612	?3.506
2	12.398	18.400	30.797	?3.001
3	6.191	6.387	12.578	?0.098
4	0.276	3.065	3.341	?1.395
5	1.076	5.895	6.970	?2.409

鞍座及承载索序号 Saddle and carrying rope number	鞍座左侧 Left side of saddle		鞍座右侧 Right side of saddle		水平拉力差值 Horizontal tension difference
鞍座及承载索序号 Saddle and carrying rope number	拉力T₀₁ Tensile force (T₀₁)	水平拉力H₀₁ Horizontal tensile force (H₀₁)	拉力T₀₂ Tensile force (T₀₂)	水平拉力H₀₂ Horizontal tensile force (H₀₂)	水平拉力差值 Horizontal tension difference
1-1	41.40	40.97	43.00	41.47	0.51
1-2	43.00	42.00	45.80	43.46	1.46
1-3	45.90	45.63	46.10	45.81	0.18
1-4	46.50	46.50	46.50	46.43	0.07
1-5	47.60	47.59	49.60	49.34	1.75
2-1	41.60	41.16	43.20	41.67	0.50
2-2	43.60	42.58	45.10	42.79	0.21
2-3	45.40	45.14	46.60	46.31	1.18
2-4	47.10	47.10	48.50	48.43	1.33
2-5	49.00	48.99	50.80	50.53	1.54

鞍座及承载索序号 Saddle and carrying rope number	鞍板偏向 Saddle plate bias	理论值T₀₁ Theoretical value (T₀₁)/kN	实测值T₀₁ Measured value (T₀₁)/kN	相对误差 Relative error (δ)(%)
1-1	右偏Right	43.00	44.01	2.35
1-2		45.80	46.41	1.34
1-3		46.10	47.55	3.15
1-4		46.50	47.20	1.50
1-5		49.60	48.69	1.83
2-1	右偏Right	43.20	44.22	2.36
2-2		45.10	46.31	2.69
2-3		46.60	48.19	3.42
2-4		48.50	49.97	3.04
2-5		50.80	51.96	2.29

左倾角 Left angle (β'_i，L)/(°)	右倾角 Right angle (β'_i，R)/(°)	包角 Wrap angle (β')/(°)	偏移角 Deviation angle (α')/(°)
0.191	14.354	14.545	?7.081