基于合理拱轴线的偏压隧道最优断面研究

doi:10.13722/j.cnki.jrme.2022.0057

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (7168 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要偏压隧道是工程中常见的一种隧道形式，隧道的断面形状会影响到衬砌结构受力性能和围岩的稳定性。针对偏压隧道的断面形状优化设计，基于衬砌合理拱轴线，开展偏压隧道最优断面形状的研究。根据偏压隧道的工程特点，建立初始断面形状为圆形的偏压隧道有限元模型，计算得到隧道衬砌的弯矩、轴力和偏心距。进一步，以偏心距最小作为目标函数，通过反复调整衬砌轴线的位置，使衬砌轴线逐渐逼近合理拱轴线，从而获得偏压隧道的最优断面。在此基础上，对比研究偏压隧道优化前后衬砌的力学性能和隧道围岩的应力分布情况。结果表明，这种最优断面形状的偏压隧道极大改善衬砌结构受力状况，衬砌主要承受轴向压力作用，能够充分发挥混凝土材料的抗压性能，而且隧道围岩的应力分布均匀，避免了隧道围岩的应力集中。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	白强强1
	2
	陈健1
	2
	3
	4
	5

关键词 ：隧道工程, 合理拱轴线, 隧道最优断面, 偏心距, 渐进迭代优化

Abstract：Biased-pressure tunnel is a typical form of tunnel in engineering，and its cross-section shape can affect the mechanical performance of the lining structure and the stability of the surrounding rock-soil. Aiming at the shape optimization of biased-pressure tunnel，in this paper the investigation on optimal tunnel shape is performed based on the rational arch axis. According to its engineering characteristics，the FEM model of biased-pressure tunnel with initial circular shape is established，and the bending moment and axial force of tunnel lining are calculated to obtain the lining eccentricity. In optimization iterations，the lining axis is gradually approximated to the rational arch axis by repositioning the lining axis continuously，and the optimal cross-section of the biased-pressure tunnel is finally obtained when the eccentricity is approaching its minimum. On this basis，the mechanical performance of the lining and the stress distribution in rock-soil around the tunnel are studied. The results show that this tunnel with the optimal cross-sectional shape has a great improvement in mechanical performance of the lining，which is mainly subjected to axial compression and can fully utilize the compressive properties of the concrete material. Besides，the stress distribution in surrounding rock-soil is smooth and the stress concentration can be avoided effectively.

Key words： tunnelling engineering rational arch axis optimal tunnel shape eccentricity asymptotic iterative optimization

引用本文:

白强强1，2，陈健1，2，3，4，5. 基于合理拱轴线的偏压隧道最优断面研究[J]. 岩石力学与工程学报, 2023, 42(S1): 3160-3168.
BAI Qiangqiang1，2，CHEN Jian1，2，3，4，5. Study on the optimal shape of biased-pressure tunnel based on rational arch axis. , 2023, 42(S1): 3160-3168.

链接本文:

http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2022.0057 或 http://rockmech.whrsm.ac.cn/CN/Y2023/V42/IS1/3160

[7]	刘小兵. 复合式衬砌的合理拱轴线[J]. 长沙铁道学院学报，1994，12(3)：18-23.(LIU Xiaobing. The reasonable arch axis of double- lining[J]. Journal of Changsha Railway University，1994，12(3)：18-23.(in Chinese))
[2]	曹瑞琅，贺少辉，李子峰. 偏压富水软岩大断面隧道下穿建筑物地层变形及影响分析[J]. 岩石力学与工程学报，2012，31(5)：982-990.(CAO Ruilang，HE Shaohui，LI Zifeng. Analysis of strata deformation and structure impact due to large section water-abundant soft rock shallow tunnel under unsymmetrical pressure passing through existing structure[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(5)：982-990.(in Chinese))
[9]	黄大维，冯青松，刘开富，等. 基于弯矩最小化的地铁盾构隧道横断面优化设计分析[J]. 铁道学报，2018，40(9)：159-166.(HUANG Dawei，FENG Qingsong，LIU Kaifu，et al. Analysis for optimal design of cross section of metro shield tunnel based on minimum bending moment[J]. Journal of the China Railway Society，2018，40(9)：159-166.(in Chinese))
[12]	DHIR S K. Optimization in a class of hole shapes in plate structures[J]. Journal of Applied Mechanics(ASME)，1981，48(4)：905-908.
[14]	LV 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(7)：190-197.
[5]	崔国华，王国强，何恩光，等. 盾构机的研究现状及发展前景[J]. 矿山机械，2006，34(6)：24-27.(CUI Guohua，WANG Guoqiang，HE Enguang，et al. Current study status and developing prospect of the tunnel boring machine[J]. Mining and Processing Equipment，2006，34(6)：24-27.(in Chinese))
[15]	吕爱钟，陈虹宇，覃媛，等. 光滑接触条件下隧洞支护断面形状优化[J]. 岩石力学与工程学报，2014，33(8)：1 563-1 571.(LV Aizhong，CHEN Hongyu，QIN Yuan，et al. Shape optimization of tunnel support section under contact condition of pure slip[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(8)：1 563- 1 571.(in Chinese))
[17]	WANG G F，SCHIAVONE P，RU C Q. Harmonic shapes in finite elasticity[J]. Mathematics and Mechanics of Solids，2007，12(5)： 502-512.
[19]	REN G，SMITH J V，TANG J W，et al. Underground excavation shape optimization using an evolutionary procedure[J]. Computers and Geotechnics，2005，32(2)：122-132.
[24]	GHABRAIE K，XIE Y M，HUANG X D. Shape and reinforcement optimization of underground tunnels[J]. Computers and Geotechnics，2010，4(1)：51-63.
[25]	SOBÓTKA M，?YD?BA D，RÓ?A?SKI A. Shape optimization of underground excavation by simulated annealing[J]. Studia Geotechnica et Mechanica，2013，35(1)：209-218.
[3]	李彬. 偏压隧道病害特征及其控制措施[J]. 铁道科学与工程学报，2011，8(6)：59-63.(LI Bin. Study on disease characteristics of unsymmetrical pressure tunnel and its control measures[J]. Journal of Rallway Science and Engineering，2011，8(6)：59-63.(in Chinese))
[6]	马禹川. 隧道横断面合理轴线的优化设计[J]. 西北建筑工程学院学报，1991，1(1)：1-9.(MA Yuchuan. Determination of a rational axis in the arch section[J]. Journal of Northwestern Institute of Architectural Engineering，1991，1(1)：1-9.(in Chinese))
[4]	刘远程. 某运营山区偏压隧道病害分析与控制研究[J]. 土工基础，2015，29(6)：16-19.(LIU Yuancheng. Analysis and mitigation of the hazards of an operational mountain tunnel induced by the deviator stress[J]. Soil Engineering and Foundation，2015，29(6)：16-19.(in Chinese))
[22]	REN G，ZUO Z H，XIE Y M，et al. Underground excavation shape optimization considering material nonlinearities[J]. Computers and Geotechnics，2014，58：81-87.
[1]	刘泾堂. 浅埋偏压小净距隧道施工病害处治技术[J]. 城市道桥与防洪，2018，226(2)：139-142.(LIU Jingtang. Treatment technology of construction disease in shallow buried bias small- distance tunnel[J] Urban Roads Bridges and Flood Control，2018，226(2)：139-142.(in Chinese))
[13]	吕爱钟. 地下洞室最优开挖形状的确定方法[J]. 岩石力学与工程学报，1996，15(3)：275-281.(LV Aizhong. The method for optimum shape of tunnels and cavities[J]. Chinese Journal of Rock Mechanics and Engineering，1996，15(3)：275-281.(in Chinese))
[28]	BAI Q Q，CHEN J. An iterative FEM approach for tunnel shape optimization based on the concept of rational arch axis[J]. Structures，2021，34：4 634-4 651.
[8]	代慧娟，白国良，朱雯，等. 浅埋大跨地下拱结构拱轴力学及数值优化研究[J]. 地下空间与工程学报，2016，12(5)：1 231-1 238. (DAI Huijuan，BAI Guoliang，ZHU Wen，et al. Mechanics analysis and numerical optimization research on the arch axis for shallow buried-long span underground arch structures[J]. Chinese Journal of Underground Space and Engineering，2016，12(5)：1 231-1 238.(in Chinese))
[10]	BJORKMAN G S，RICHARDS R. Harmonic holes-an inverse problem in elasticity[J]. Journal of Applied Mechanics(ASME)，1976，43(3)：414-418.
[11]	RICHARDS R，BJORKMAN G S. Harmonic shapes and optimum design[J]. Journal of the Engineering Mechanics Division，Proceedings of the ASCE，1980，106(6)：1 125-1 134.
[16]	ZENG X T，LV A Z，WANG S J. Shape optimization of two equal holes in an infinite elastic plate[J]. Mechanics Based Design of Structures and Machines，2020，48(2)：133-145.
[18]	WANG G F，SCHIAVONE P，RU C Q. Harmonic shapes in finite elasticity under no uniform loading[J]. Journal of Applied Mechanics (ASME)，2005，72(5)：691-694.
[20]	REN G，XIE Y M. Optimization of underground excavation in rock masses using ESO techniques[C]// Computer Aided Optimum Design in Engineering XII. New Forest. [S. l.]：WIR Press，2012，125： 165-174.
[21]	XIE Y M，STEVEN G P. A simple evolutionary procedure for structural optimization[J]. Computers and Structures，1993，49(5)：885-896.
[23]	NGUYEN T，GHABRAIE K，TRA-CON T. Applying bi- directional evolutionary structural optimisation method for tunnel reinforcement design considering nonlinear material behaviour[J]. Computers and Geotechnics，2014，55：57-66.
[26]	SOBÓTKA M，PACHNICZ M. Shape optimization of road tunnel cross-section by simulated annealing[J]. Studia Geotechnica et Mechanica，2016，38(2)：47-52.
[27]	LIAN H J，WU P F. The shape optimization of underground caverns based on strain energy criterion via explicit interface tracking methods[J]. International Journal of Advances in Engineering Sciences and Applied Mathematics，2020，12(3)：183-192.
[29]	陈卫忠，伍国军，贾善坡. ABAQUS在隧道及地下工程中的应用[M]. 北京：中国水利水电出版社，2010：1-515.(CHEN Weizhong，WU Guojun，JIA Shanpo. Application of ABAQUS in tunnel and underground engineering[M]. Beijing：China Water Power Press，2010：1-515.(in Chinese))