The Stochastic Seismic Response Analysis For Soil-Structure Interaction System

The stochastic response analysis of the soil-structure interaction system is one of advancing front subject. The three element factors (endurance time, intensity, frequency spectrum) of earthquake motion have obvious random characteristics, and the random vibration theory applied the stochastic response analysis of soil-structure interaction system is obvious ration. At the present time, the research achievement is few for random response analysis of soil-structure interaction system, and it is not matching about advancing of random vibration theory. The random response method for soil-structure interaction system is studied systematically at this dissertation, and the suggestions and treating methods about the practice application are proposed. The random seismic response analysis has characteristics: (1) it obtains mean value for random seismic response and includes large-tonnage time-dependent curve statistic information; (2) it is intuitive manner for mean value and not inconvenient as time-dependent method; (3) it inputs power spectrum and analysis for the problem from power.The time-dependent analysis method and random vibration theory method is gradual perfection and it is feasible and necessary to knows whole process for soil-structure interaction system and seismic response with statistic significance. It has important significance for seismic design and probability analysis.Some main achievements of this dissertation are described as follows:At chapter 1, a brief summary and a primary introduction is given to soil-structure interaction system and contents of research is given.The first consideration is input problem of the earthquake motion for soil-structure interaction system. Some expresses of earthquake motion model are introduced, and calculation parameters for earthquake motion model using data of code GB0051-2001 are obtained at the chapter2, and it is base for the analysis of interaction system.The second consideration is the compliance functions of foundation, and it is a basis work for soil-structure interaction system random response analysis. The chapter3 is a primary description of some foundation models, and deduces calculation formula of the compliance functions of foundation based on achievement of predecessors and the paramters of the compliance functions of foundation is determined.The free vibration characteristics of soil-structure interaction system is basic problem of interaction system. It is the base of the dynamic interaction system analysis. The natural frequency and damping of interaction system has important effect to system response. Atthe chapter4, the free vibration characteristics of soil-structure interaction system are studied, and the effects and some useful results are obtained.The response spectrum method is a important method for seismic design, and seismic designers accepted the method generally, and they think that response spectrum method can describe characteristics of earthquake motion and structural system. At the chapter5, based on spectrum method, and the relation of power spectrum and response spectrum, the stochastic analysis method of soil-structure interaction system is established, and the effects of the stationary random process and the evolutionary random process of soil-structure interaction system response is considered. The method can match code GB0051-2001.The ground motion has obviously stochastic, and it is described with the stochastic process method is science and ration. At the chapter6, based on random earthquake motion model, soil-structure interaction system stochastic response is studied, and input motion is power spectrum density function, and effects of frequency non-stationary characteristics and intensity non-stationary characteristics is considered. According to the time-invariant system with the hysteretic material damping and the transfer behavior of influence function and response function, the stationary and non-stationary mean square response and their spectral parameters are obtained. The effects of the spectr...