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Rayleigh波作用下盾构隧洞衬砌内力的解析解

Analytical Solutions to Internal Forces of Shield Tunnel Lining under Rayleigh Wave

【作者】 杨光

【导师】 张运良;

【作者基本信息】 大连理工大学 , 水利水电工程, 2015, 硕士

【摘要】 随着我国经济的快速发展和人口的急剧膨胀,基础设施建设的脚步日益加快。地下空间的开发与利用是现代社会基础建设的重要组成部分,而盾构法隧洞因其安全性、速度快、扰动小、噪音少等优点在国内外得到广泛应用。虽然,像隧洞这种地下结构具有较好的抗震性能,但在历史上发生的多次大地震中,均有过地下结构遭到严重破坏的情况发生。因此,地下结构的抗震设计越来越受到人们的重视。近年来,随着计算技术的飞速发展,数值方法得到了广泛的应用。然而,数值分析不能以显式的形式表达影响结构内力的关键因素,这并不利于结构的概念性设计。因此,解析法对地下结构抗震分析仍然具有特殊意义。在以往对盾构隧洞衬砌的抗震研究中,不但很少考虑接头对结构抗震性能的影响,而且多数情况下,也只分析了S波或P波单独作用下,衬砌的受力状态。而针对Rayleigh波作用下,其内力解析计算还比较少见。本论文首先采用等效连续化模型,考虑接头对盾构隧洞衬砌整体刚度的削弱影响,将隧洞沿纵向等效为一条弹性地基梁,沿横向等效为匀质圆环,并考虑Rayleigh波的作用对横向等效刚度的影响,通过力学方法推导出衬砌纵向和横向的等效刚度。其次,在前人研究的基础上,求出了在Rayleigh波作用下,衬砌纵向和横向内力计算的解析表达式。然后,通过实例计算,求出在不同周期Rayleigh波作用和不同围岩介质条件下,衬砌纵向和横向的等效刚度,进而求出各个条件下衬砌的内力最大值。对计算结果进行整理分析,并提出了一些对盾构隧洞抗震设计方面有益的结论。最后,对本论文的主要工作进行了总结,并对以后的工作进行了展望。

【Abstract】 With the rapid development of China’s economy and the rapid expansion of the population, the pace of infrastructure construction is accelerating. Development and utilization of underground space is an important part of the modern social infrastructure. Because of its safety, speed, disturbance and less noise, shield-driven tunneling method has been widely used at home and abroad. Although underground structure, such as tunnel, has better seismic performance, they have been severely damaged during several large earthquakes in the history. Thus, it has paid more and more attention to the seismic design of underground structures.In recent years, the numerical method has been widely used due to the rapid development of computing technology. However, numerical analysis cannot express the key factors about the forces of structure in explicit form. This is not conducive for the concept design of the structures. Therefore, the analytical method for seismic analysis of underground structures still has a special meaning.In previous seismic studies of shield tunnel lining, the effects of the joint are rarely taken into consideration, and, in most cases, only the influence of S wave or P wave have been considered. It is also relatively rare that studies on the analytical calculation of internal forces of shield tunnel lining which is excited by Rayleigh wave.In this thesis, the equivalent continuous model has been used to consider the effect of the joint which weakens the overall stiffness of shield tunnel lining. Then, the shield tunnel is equivalent to an elastic foundation beam in the longitudinal direction and is equivalent to a homogenous ring in the transverse direction. Then, the equivalent stiffness of lining has been deduced by the mechanic method.Secondly, based on previous studies, the analytical expressions are derived for the longitudinal and lateral internal force of shield tunnel lining which is excited by Rayleigh wave.Thirdly, the longitudinal and lateral equivalent stiffness of shield tunnel are calculated by the way of example calculation, considering different periods of Rayleigh wave and different conditions of surrounding rock. Then the maximum internal forces of lining structure are calculated under various conditions. And several conclusions are found which are useful for the seismic design of shield tunnel.Finally, the main work of this thesis are summarized, and the future work to be conducted is pointed out.

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