There first approach is Winkler model which

The building frames are designed as 3D space frame consisting of four node elements with appropriate dimensions by using SAP2000 software. Slabs and mat foundations are modeled as rigid diaphragm with the help of four node plate elements. The raft foundation is used support structure and it is designed by conventional method assuming that the foundation to be rigid. In modeling the 3D elastic continuum model (FEM model), the finite element method is used. The steps of the finite element methods are a. Pre-processing that includes mesh generation, b. Obtaining the assembled system of equation, for which the elemental matrices and vectors need to be evaluated, c. Applying the boundary conditions, d. Solving the linear system of equations, e. Post-processing. For analysis, the finite element is adopted in this study because of its diversity and flexibility as an analysis tool. The soil- structure interaction (SSI) is represented by using equivalent springs with six degrees of freedom. In two horizontal and vertical axes with rotational springs about those mutually perpendicular axes are considered. These are attached to estimate the effect of soil flexibility. George Gazetas formula is used for determining the stiffness along the six degrees of freedom. The time history analysis is adopted for RC frame structure. Therefore, the earth quack ground motion (Bhuj EQ data) is subjected to the whole system of RC frame structure. According to the results of the analysis, it can be seen that lateral displacement increases as the number of story increases. The increase in the stiffness of soil makes a reduction in displacement. Raft thickness does not have any effects on the displacement of the building. Further, it has been observed that the time period of the building on a different type of soils increases more than the time period in the fixed condition. For instance, the maximum time periods ae observed in FEM models, while the minimum time periods are found in fixed models. When the time period increases, the natural frequency of the building decreases. Finally, as the soil flexibility increases, the bending moment also increases with the increase of the raft thickness and height of the building.

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