本课题针对学术界高度关注的地铁引起古建筑振动问题，采用古建振动实测和大型地铁振动模拟试验及波动理论进行研究： 广泛调研地铁引起古建振动案例，挖掘已有地铁引起古建振动现场测试数据，加密古建关键部位动力测试，以实测手段揭示地铁引起古建振动规律。依据地层孔/坑内实测地铁低频振动波形，结合地铁振动模拟试验，确定柱面波雏形，选择典型地层标定测试和控制参数确定，开发低频柱面轴向激励技术，借助数学和动力学方法建立地层低频柱面波动方程，进行地铁运行引起地层低频柱面波理论解析研究。结合柱面波在古建砖和木中传播差异测试分析，建立古建砖-木二元动力反应理论，借助地铁振动平台试验、古建现场激励和古建结构脉动测试确定地铁引起古建微振动特征值、古建固有频率等关键参数，进行地铁引起柱面波引起古建微振动及长期微振作用下古建演化规律的试验、理论与数值分析。力求地铁引起地层低频柱面波理论有所突破，为地铁设计和古建保护提供参考

Studying and excavate-analyze on a large number of completed on-site test data of ancient buildings vibration induced by subway, fully investigate typical cases of subway-induced vibration of ancient buildings at home and abroad, encrypt the dynamic test work of key parts and abnormal vibration positions of ancient buildings, and strive to reveal the characteristics, essence or laws of subway-induced vibration of ancient buildings by actual measurement. According to the measured subway vibration waveforms in the borehole and pit of the formation, especially low-frequency vibration, a series of tests of underground tunnel subway vibration simulation platform are carried out, a low-frequency cylindrical space axial excitation technology is developed, a low-frequency micro-vibration dynamic equation with discontinuous frequency as a variable is established, typical formations are selected for calibration tests, boundary values and control parameters are determined, a prototype of cylindrical waves is determined, and theoretical analytical research on low-frequency cylindrical waves of the formation caused by subway operation is carried out by means of necessary mathematical and dynamic methods. Difference and independence of cylindrical wave propagation in walls and columns is firstly studied, establish the binary dynamic response theory of cylindrical wave in ancient brick-wood system in soil layer excited by subway operation, determine the characteristic values and parameters of micro-vibration of ancient buildings caused by subway by using large-scale underground subway vibration excitation platform, test the natural frequency of ancient buildings by means of on-site excitation and pulsation of ancient buildings, perfect the determination technology of empty equivalent stiffness and the three-dimensional input method of subway vibration, and carry out long-term impact theory and numerical analysis. Aging and evolution law of ancient building materials under long-term low frequency vibration is studied through experiments.Theory of soil low frequency cylindical waves caused by subway,It will be strives to make a breakthrough and provide references for subway design and ancient building protection.