Abstract
This study evaluates the movement of a frame built on soft soil under seismic excitation taking into account soil-structure interaction. First, the study was evaluated using the finite element method, then, by using a substructure method which modelled the soil using springs and dampers in a linear and nonlinear study. Rheological models were determined using impedance functions, calculated using a numerical program CONAN. These dynamic impedances are shown in the displacement vector of a three-degrees-of-freedom frame, which was calculated on the basis of lateral forces distributed over the structure height using the equivalent static method. In this regard, two different calculation norms were chosen; RPA2003 and UBC97. Finally, a parametric study was carried out, based on the effects of soil densification and the foundation geometry on the response of the RC frame.
Highlights
Dynamic soil-structure interaction is characterized by impedance functions that should be studied during the design of buildings and structures [1]
The impedance functions of a foundation resting on a semi-finite, viscoelastic, homogeneous, and isotropic medium were calculated
The calculation was justified by a finite element method and made under the variation of the different parameters such as shear wave velocity, soil density, and foundation dimensions
Summary
Dynamic soil-structure interaction is characterized by impedance functions that should be studied during the design of buildings and structures [1]. Two types of damping can be observed, one is material corresponding to dissipation in the form of heat in the vicious materials determined using the nonlinear Kelvin-Voigt model [8], the other is geometric, and may be interpreted as the result of a transmission to the infinity of a part of the strain energy by radiation of seismic waves It is defined using the imaginary part of dynamic impedances [9]. This new approach coupled finite and infinite computational methods Our contribution in this area is to illustrate the effect of the soil on the frame responses, using dynamic impedances in both linear and nonlinear cases, in which a mathematical equation allowing the calculation of the motion vector of a three-degrees-of-freedom frame, considered free-field at the base, was developed. A parametric study was conducted to determine the effect of soil parameters and foundation geometry on the response of the structure
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