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边坡与隧道相互作用分析及数学二次规划法应用

Interaction Analysis between the Slope and the Tunnel and Parametric Quadratic Programming Method’s Application

【作者】 朱苦竹

【导师】 朱合华;

【作者基本信息】 同济大学 , 结构工程, 2007, 博士

【摘要】 随着能源、交通、国防、市政、采矿业等基础设施的快速发展和国家西部大开发战略的实施,将有越来越多的工程在山区投入建设。斜坡隧道的数量也将不断增加,可以预见,斜坡地段因滑坡引起的隧道变形这类复杂的岩土工程问题将不可避免地大量出现。调查表明,隧道变形病害与所在斜坡出现边坡活动密切相关,并且有的病害严重危及隧道的正常安全运营。针对这一问题,本文结合云南元磨高速公路小曼萨河隧道中出现的各种病害,开展了边坡与隧道变形相互作用机理的研究工作。本文的主要研究内容包括以下几个方面:(1)在边坡与隧道相互作用机理的理论研究方面本文在前人的基础上,研究了滑坡体的结构、滑坡的成因、隧道与滑面的相对位置关系及相应的隧道变形特征,提出了隧道与滑面相对位置关系是决定滑坡与隧道相互作用模式的主要因素的观点,并分析了隧道处于滑坡体内不同位置时的受力模式,建立了分析滑坡与隧道变形相互关系的四类力学模型。(2)在数学二次规划法求解粘弹塑性问题研究方面推导了粘弹塑性问题的最小势能原理,利用Taylor级数展开对屈服函数作线性化处理,建立了粘弹塑性问题的有限元数学二次规划法。编制二维粘弹塑性问题有限元数学二次规划法的计算程序,通过算例验证,表明本文模型、方法和程序的正确性。(3)在边坡与隧道相互作用的实例分析方面针对云南省元磨高速公路小曼萨河隧道施工过程中出现的病害,在理论分析和数值模拟的基础上,对该隧道详细探讨了滑坡与隧道变形的相互作用机理。取得的成果有助于建立完整的滑坡地段隧道变形理论,同时可为制定有效的工程措施提供理论指导。并结合小曼萨河隧道的病害处理讨论了工程治理措施,方便工程部门在设计时参考。

【Abstract】 With the rapid development of national economy such as the energy sources, communication, national defense municipal engineering, and mine engineering etc, and implement strategy of in developing of west China, engineering constructions have got more and more in the mountain area. The number of tunnels in sloping ground will increase in the future, so we can foresee that the phenomena of tunnel deformation because of landslide in the sloping ground inevitably largely appear which are complex problems in geotechnical engineering. Surveys reveal that various damages often occur to many tunnels which are constructed in slope, the damages intimately correct with slope activities in the sloping ground, and some damages have influenced the normal operations of tunnels. In the paper, it researches the course of the mutual impetus and the interact between slope and tunnel that it is based on various damages which occur in the Xiaomansahe tunnel in YuanMo express highway of Yunnan province. The key points of this paper are following:(1)Theory research on mechanics interact between slope and tunnel.Based on the investigation and research on predecessor, the structure and cause of landslide, relative position between tunnel and sliding plane and the corresponding deformation features of tunnel are studied. The view that relative position between tunnel and sliding plane is the major cause to determine mode of interact between slope and tunnel is put forward. And the mechanical patterns of tunnels situated different place in landslide are analyzed. Four typical mechanical mechanics models to analyze interrelation between landslide and tunnel deformation are given.(2)Research on parametric quadratic programming method in visco-elasto-plastic problem.In the paper, it has deduced the minimum potential energy principle of visco- elasto-plastic problem, made the yield function to linearization used the Taylor series expansion, established finite element method use parametric quadratic programming in visco-elasto-plastic problem, developed program in two dimensions by Fortran language, and verified the correct of model, method and program through engeering axamples.(3) Example research on the interaction mechanics between slope and tunnel.For example of Xiaomansahe tunnel in YuanMo express highway of Yunnan province which had occurred vast scale damages in the course of construction, in this paper, the interaction mechanism between landslide and tunnel deformation is discussed in detail by several methods such as analytic calculation and numerical analysis method. The achievement of the research is helpful to set up integral theory of tunnel deformation at landslide site, and also can provide theoretical guide for designing effective engineering measures,

  • 【网络出版投稿人】 同济大学
  • 【网络出版年期】2008年 02期
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