一种新型异形椭圆隧道横断面的性质及优化设计

doi:10.3969/j.issn.1674-0696.2021.01.14

重庆交通大学学报（自然科学版） ›› 2021, Vol. 40 ›› Issue (01): 87-95.DOI: 10.3969/j.issn.1674-0696.2021.01.14

一种新型异形椭圆隧道横断面的性质及优化设计

武周虎

(青岛理工大学环境与市政工程学院，山东青岛 266033)

收稿日期:2020-05-28 修回日期:2020-10-31 出版日期:2021-01-11 发布日期:2021-01-11
作者简介:武周虎（1959—），男，陕西岐山人，二级教授，博士生导师，主要从事水利、土木和环境工程技术方面的研究。E-mail:wu_zh2008@aliyun.com
基金资助:
国家自然科学基金项目（51379097，50979036）

Properties and Optimization Design of a New Heteromorphic Ellipse Tunnel Cross-Section

WU Zhouhu

(School of Environmental and Municipal Engineering, Qingdao University of Technology, Qingdao 266033, Shandong, China)

Received:2020-05-28 Revised:2020-10-31 Online:2021-01-11 Published:2021-01-11
Supported by:

摘要/Abstract

摘要： 基于河流二维对流扩散物质的等浓度线方程，定义了一种新型二参数异形椭圆内轮廓线方程；运用数学方法，推导了异形椭圆面积、周长、形心坐标、压缩系数和曲率半径的计算公式；对异形椭圆进行了形状分类：当压缩系数θ=1时称为标准型，当0＜θ＜1时称为H型，当θ＞1时称为W型；根据单向公路隧道建筑限界，给出了控制点坐标表达式；按照将建筑限界完全包容在内和隧道洞室净空面积最小的原则，提出了异形椭圆横断面的约束条件、目标函数和优化设计方法。研究表明：异形椭圆与建筑限界的符合程度高；与三心圆横断面相比，异形椭圆具有设计参数少、曲率半径变化连续、隧道洞室净空面积小、支护与衬砌周长短、仰拱开挖和回填工程量小等优点。

关键词: 隧道工程, 隧道横断面, 异形椭圆内轮廓线, 几何性质, 优化设计方法

Abstract: Based on the isoconcentration curve equation of two-dimensional convection-diffusion material in river, a new type of two-parameter heteromorphic ellipse inner outline equation was defined. By means of mathematics, the calculating formulas of area, perimeter, centroid coordinates, coefficient of compressibility and radius of curvature of the heteromorphic ellipse were deduced. The shape of heteromorphic ellipse was categorized: when the coefficient of compressibility θ=1, it was called the standard-type; when 0<θ<1, it was called the H-type; when θ>1, it was called the W-type. According to the construction clearance of one-way highway tunnel, the coordinate expression of control point was given. According to the principle that the construction clearance was fully included and the clearance area of tunnel chamber was minimum, the constraint conditions, objective function and optimization design method of the heteromorphic ellipse cross-section were proposed. Research shows that the heteromorphic ellipse has a high degree of conformity with the construction clearance. Compared with the three-centered circle cross-section, the heteromorphic ellipse has the advantages of less design parameters, continuous change of curvature radius, smaller clearance area of tunnel chamber, shorter support and lining perimeter, and smaller engineering quantities of inverted arch excavation and backfill.

Key words: tunnel engineering, tunnel cross-section, inner outline of heteromorphic ellipse, geometric properties, optimization design method

中图分类号:

U452.2+6

武周虎. 一种新型异形椭圆隧道横断面的性质及优化设计[J]. 重庆交通大学学报（自然科学版）, 2021, 40(01): 87-95.

WU Zhouhu. Properties and Optimization Design of a New Heteromorphic Ellipse Tunnel Cross-Section[J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(01): 87-95.

参考文献

［1］高建国.大断面浅埋黄土隧道设计与施工［J］.交通标准化，2011 (11)：141-144.
GAO Jianguo. Design and construction of large section shallow loess tunnel ［J］. Communications Standardization, 2011 (11): 141-144.
［2］李鹏飞，张顶立，王梦恕，等.海底隧道衬砌结构受力特点及断面形状优化［J］.中国铁道科学，2009，30(3)：51-56.
LI Pengfei, ZHANG Dingli, WANG Mengshu, et al. Mechanical properties of lining structure and its cross section shape optimization of subsea tunnel ［J］. China
Railway Science, 2009, 30(3): 51-56.
［3］余世根，刘文玉，沈刚，等.龙潭湾大跨径隧道横断面形状优化设计研究［J］.现代隧道技术，2012，49(5)：104-109,116.
YU Shigen, LIU Wenyu, SHEN Gang, et al. On optimized cross section design of the Longtanwan highway tunnel with a large span ［J］.Modern Tunneling Technology,
2012, 49 (5): 104-109,116.
［4］谢琪.隧道横断面设计及其标准化问题的思考［J］.福建建筑，2006(1)：127-128.
XIE Qi. Reason about the design of a tunnel cross section and its standardization ［J］.Fujian Architecture & Construction, 2006(1): 127-128.
［5］王晓东.公路山岭隧道标准化初步研究［D］.西安：长安大学, 2009.
WANG Xiaodong. Preliminary Research on the Standardization of Highway Mountain Tunnels ［D］. Xian: Changan University, 2009.
［6］ HUSSAIN I, CAWOOD F, VAN OLST R. Effect of Tunnel geometry and antenna parameters on through-the-air communication systems in underground mines: Survey and
open research areas ［J］.Physical Communication, 2017, 23: 84-94.
［7］ SOBTKA M, PACHNICZ M. Shape optimization of road tunnel cross-section by simulated annealing ［J］.Studia Geotechnica et Mechanica, 2016, 38(2): 47-52.
［8］ LU A Z, CHEN H Y, QIN Y, et al. Shape optimization of the support section of a tunnel at great depths ［J］.Computers and Geotechnics, 2014 (61): 190-197.
［9］ BO Haitao, JIA Xiaofeng, WANG Xiaorui. Intelligent optimization of the structure of the large section highway tunnel based on improved immune genetic
algorithm ［J］. Academic Journal of Xian Jiaotong University, 2009, 21(3): 163-166.
［10］徐林生，孙钧，蒋树屏.洋碰隧道横断面形状设计优化问题研究［J］.岩土工程技术，2001 (3)：180-184.
XU Linsheng, SUN Jun, JIANG Shuping. Study on the optimizing design of section shape in Yangpeng highway tunnel ［J］.Geotechnical Engineering Technique, 2001 (3):
180-184.
［11］张晋刚.公路隧道支护结构设计的优化方法研究［J］.山西交通科技，2004(5)：59-60，66.
ZHANG Jingang. The study on the optimized method of highway tunnel support structure design ［J］.Shanxi Science & Technology of Communications, 2004(5): 59-60,
66.
［12］ TALATAHARI S. Determining the optimum section of tunnels using ant colony optimization ［J］.Mathematical Problems in Engineering, 2013, 2013: 1-7.
［13］ WANG Hui, WANG Qingbiao, XIE Fei, et al. Dynamic optimization research on the section morphology of large-span tunnels in shallow rock mass［J］.The Open
Construction & Building Technology Journal, 2015, 9(1): 210-213.
［14］ El NAGGAR H, HINCHBERGER S D. Approximate evaluation of stresses in degraded tunnel linings ［J］. Soil Dynamics & Earthquake Engineering, 2012 (43): 45-57.
［15］ LI Wen-Hsiung. Differential Equations of Hydraulic Transients, Dispersion and Groundwater Flow ［M］. Englewood Cliffs, NJ, USA: Prentice Hall, 1972.
［16］武周虎，贾洪玉.河流污染混合区的解析计算方法［J］.水科学进展，2009，20(4)：544-548.
WU Zhouhu, JIA Hongyu. Analytic method for pollutant mixing zone in rivers［J］.Advances in Water Science, 2009, 20(4): 544-548.
［17］武周虎.水库铅垂岸地形污染混合区的三维解析计算方法［J］.西安理工大学学报，2009，25(4)：436-440.
WU Zhouhu. 3-D analytic computational method of pollutant mixing zone for reservoir with vertical bank［J］.Journal of Xian University of Technology, 2009, 25
(4): 436-440.
［18］ WU Zhouhu, WU Wen, WU Guizhi. Calculation method of lateral and vertical diffusion coefficients in wide straight rivers and reservoirs ［J］.Journal of
Computers, 2011, 6(6): 1102-1109.

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一种新型异形椭圆隧道横断面的性质及优化设计

Properties and Optimization Design of a New Heteromorphic Ellipse Tunnel Cross-Section

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