| With the rapid development of our economic, it can be said that the gold period of the subway-construction is coming in our country, but there is no independent underground structures anti-seismic design rules so far. Compared to Japan and America and other developed countries, our studies in the field earthquake-resistance of underground structures are still immature. How to keep the subway safe in the earthquake has become an urgent need for research topics in the context of our country has become quake-prone. It has great significance to research the structure between the subway station and the running tunnel design rules of the vibration under soft soil. This article analyzes the time history analysis of the specific parts. The main contents include:(1) Introduce the methods about researching the subway vibration;(2) Studying the numeral method of the interaction between the earth and the underground-structure, to give the theory to solve the vibratory problem;(3) Build the three-dimensional numerical model under earthquake by using the finite element software-MIDAS. The model adopt viscous-elastic border;(4) The strong earthquake record, which is recorded in HYOUGOKEN_South in Japan in 1995, when the earthquake occurred, is selected as the bedrock input ground motion. We consider three cases, when k is different (k is ratio of shear rigidity). Compare the response characteristics of the subway station;(5) Analyze the data of different locations for specific parts of displacement, speed, acceleration, stress and strain as flowcharts in three different circumstances, and then come to the dynamic response law of the part that between the subway station and the running tunnel;(6) The stiffness of increase can strengthen the ability to resist the structure of shape effectively, but it can cause the concentration of stress and strain. Therefore, we should change the traditional views that improve the structures anti-seismic by increasing structural stiffness. When faced with the vibration design of the subway, we can consider increasing the toughness of the structure so that the structure in the earthquake will have a certain ability to take shape by the earthquake caused the surrounding soil medium of stress and deformation, but not to against deformation of the ground directly; (7) When encounter the vibration problems of the transition section, in order to avoiding the stress concentration, we should firstly meet the need of structure itself designed to strength and stiffness, and then to reduce the change of stiffness of the transition section.This article is reference value in further research of the underground structures foundered on soft soil. |