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

Abstract

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

CLC Number:

S776.32

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

Model and Verification of Tension at Both Ends of the Saddle of a Multi-Span Cableway with Double Carrying Cables

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承载索序号 Carrying rope number	鞍座左端 Left end of saddle		鞍座右端 Right end of saddle		水平拉力差值 Horizontal tension difference/kN	差值占比 Difference ratio (%)
承载索序号 Carrying rope number	拉力T'₀₁ Tensile force (T'₀₁)/kN	水平拉力H'₀₁ Horizontal tensile force (H'₀₁)/kN	拉力T'₀₂ Tensile force (T'₀₂)/kN	水平拉力H'₀₂ Horizontal tensile force (H'₀₂)/kN	水平拉力差值 Horizontal tension difference/kN	差值占比 Difference ratio (%)
1	75.90	75.90	81.70	79.15	3.25	4.11
2	76.80	76.80	82.80	80.22	3.42	4.26

承载索序号 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	右偏Right	81.70	78.61	3.79
2	右偏Right	82.80	79.53	3.95

参数 Parameter	变化幅度 Range of variation	拉力相对变化率 Relative rate of change of tensile force (%)
摩擦系数 Coefficient of friction (μ₀)	+10%	+3.41
摩擦系数 Coefficient of friction (μ₀)	?10%	?3.44
温度变化 Temperature change (Δt)	+10 ℃	+1.05
温度变化 Temperature change (Δt)	?10 ℃	?1.01

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