中文摘要：

结合《城市轨道交通结构抗震设计规范》及前人的研究成果,简要介绍了反应位移法及几个关键问题的不同求解方法,并基于算例对结果进行了对比分析。提出了8种不同的关键问题组合方式的反应位移法,并采用这8种不同组合方式,分析了典型矩形横截面隧道在基岩垂直入射剪切地震波作用下的内力,计算结果与动力有限元法结果进行了对比。结果表明：整体来说,反应位移法计算结果与动力时程计算结果接近;不同方法确定的土体弹簧系数、相对位移、结构周围剪力都具有很大差异;在本文给出的计算条件下,用静力有限元法计算弹簧系数,用公式法计算相对位移和结构周围剪力的反应位移法计算结果最好,且偏于安全。

英文摘要：

Combining with the 《 Code for seismic design of urban rail transit structures》and predecessors＇ studying achievements, the paper briefly introduces response displacement method and different solving methods of some key issues and based on the example, this paper analyzes and compares the results, then puts forword 8 different response displacement method with combinations of different key issues, analyzes the internal force of a typical rectangular cross section tunnel under perpendicular incidence of shear seismic wave with these response displacement method, compares the results with that from time-history analysis method. It is shown that on the whole, the results of response displacement method and time-history analysis method are close;there is bigger difference between different methods for determining the spring coefficient of soil, relative displacement and shear force of surrounding structures; under the conditions given in this paper, using static finite element method to calculate the spring coefficient and using the formula methed to calculate the relative displacement and shear force of surrounding structures may get better results, and they are on the safety side.