Eventos Anais de eventos
MECSOL 2019
7th International Symposium on Solid Mechanics
Dynamic iterative coupling scheme applied to the transient response of systems with soil structure interaction
Submission Author:
Otávio Tovo , SC
Co-Authors:
Otávio Tovo, Daniela Damasceno, EUCLIDES MESQUITA
Presenter: Otávio Tovo
doi://10.26678/ABCM.MECSOL2019.MSL19-0119
Abstract
This article describes an iterative coupling scheme to analyze the transient dynamic response of structures interacting with distinct soil profiles. Structures with lumped parameters and linear equations of motions are solved by the Newmark integration scheme. The soil, on the other hand, is an unbounded domain presenting outgoing and non-reflected waves that withdraw energy from the excitation source. This effect is known as Sommerfeld radiation condition and is also called radiation damping. The modeling of unbounded domains presenting radiation damping requires special techniques that incorporate this damping effect, such as the Boundary Element Method (BEM) or a semi-analytical method based on a Green’s function approach (GF). The stationary dynamic behavior of soils has been successfully solved by the BEM and GF strategies. Nevertheless, the transient dynamic response of structures interacting with unbounded domains is still limited to a few cases. In this article the stationary dynamic response of the soil has been obtained by GF methods for very high frequencies, what, in conjunction with the FFT algorithm, allows to obtain soil impulse responses very accurately and for very small steps. The soil response to arbitrary time excitation is obtained by Duhamel’s convolution integral. Special attention is given to higher order implementation of the Duhamel’s integration scheme, what is a requirement to achieve accurate results for the soil response. In the proposed coupling scheme, the Newmark time integration algorithm is coupled with a discretized version of the Duhamel integral, used to obtain the transient soil response. A relaxation procedure is also applied to the iterative coupling scheme. The synthesized methodology is used to analyze the response of linear structures interacting with homogeneous and layered soil-profiles.
Keywords
Dynamic Soil Structure Interaction, Iterative coupling procedure, Convolution integral
