中文核心期刊
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重庆交通大学学报（自然科学版）

重庆交通大学学报（自然科学版） ›› 2025, Vol. 44 ›› Issue (5): 46-51.DOI: 10.3969/j.issn.1674-0696.2025.05.06

• 桥梁与隧道工程 • 上一篇    

超长斜拉索垂度效应的精确解析方法

孟阳君1,2，李灿3   

  1. (1. 常德学院 智能建筑学院，湖南 常德 415000；2.湖南文理学院 土木建筑工程学院，湖南 常德 415000； 3.湖南文理学院 芙蓉学院，湖南 常德 415000)
  • 收稿日期:2024-08-20 修回日期:2024-10-10 发布日期:2025-05-23
  • 作者简介:孟阳君（1982—），男，湖南常德人，教授，博士，主要从事桥梁结构理论与仿真分析方面的研究。E-mail：352357749@qq.com 通信作者：李灿（1988—），女，湖南益阳人，工程师，硕士，主要从事工程结构与项目管理方面的研究。E-mail：123953626@qq.com
  • 基金资助:
    湖南省自然科学基金项目(2021JJ50136)

Accurate Analytical Method for Sag Effect of Ultra Long Stay Cables

MENG Yangjun1，2, LI Can3   

  1. (1. School of Intelligent Architecture,Changde University, Changde 415000, Hunan, China； 2.School of Civil Engineering and Architecture, Hunan University of Arts and Sciences, Changde 415000, Hunan, China； 3.Furong College, Hunan University of Arts and Science, Changde 415000, Hunan, China)
  • Received:2024-08-20 Revised:2024-10-10 Published:2025-05-23

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摘要： 采用Ernst公式研究斜拉索垂度效应存在斜拉索线形为抛物线的假定、低应力水平下误差较大等缺陷，提出了基于悬链线法的拉索垂度效应特征参数的精确解析法，即通过拟定斜拉索的悬链线参数来求解斜拉索等效弹性模量Eeq、跨中竖向垂度f及索端（塔端）倾角修正值β0（βL）等垂度效应的特征参数；将精确解析法与ANSYS仿真结果进行了对比分析；选择某实际工程的斜拉索参数，应用精确解析法分析了σ = 0.1σu、0.4σu、0.8σu 应力水平下，斜拉索的Eeq、跨中竖向垂度f、塔端倾角修正值βL，并与Ernst公式分析结果进行对比。结果表明：精确解析法分析结果与ANSYS仿真分析结果最大相对误差为0.02%，验证了精确解析法的准确性及可靠性；不同应力水平下，随着水平投影长度的增加，斜拉索的Eeq逐渐减小、跨中竖向垂度f及塔端倾角修正值βL逐渐增大，与Ernst公式计算结果的最大相对误差分别达到28.35%、15.47%、19.14%；采用精确解析法分析斜拉索的垂度效应精度高且计算简便。

关键词: 桥梁工程；超长斜拉索；垂度效应；悬链线；解析方法

Abstract: The use of Ernst formula to study the sag effect of stay cables has limitations such as assumption of parabolic shape for stay cables and having large errors at low stress levels. A precise analytical method for the characteristic parameters of cable sag effect based on the catenary method was proposed, which solved the characteristic parameters of sag effect such as equivalent elastic modulus Eeq, mid span vertical sag f, and cable end (tower end) inclination correction value β0 (βL) by formulating the catenary parameters of stay cables. A comparative analysis was conducted between the precise analytical method and the ANSYS simulation results. By selecting the parameters of stay cables in a certain actual engineering, the precise analytical method was applied to analyze Eeq, mid span vertical sag f and tower end inclination correction value βL of stay cable under stress levels of σ = 0.1σu, 0.4σu and 0.8σu and compared with the results of Ernst formula analysis. The results show that the maximum relative error between the precise analysis results and the ANSYS simulation analysis results is 0.02%, which verifies the accuracy and reliability of the precise analytical method. Under different stress levels, as the horizontal projection length increases, Eeq of the stay cable gradually decreases, while f and βL gradually increase, and the maximum relative errors with the Ernst formula calculation results reach 28.35%, 15.47% and 19.14%, respectively. The precise analytical method for analyzing the sag effect of stay cables has high accuracy and is easy to calculate.

Key words: bridge engineering; ultra long stay cable; sag effect; catenary; analytic method

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