Simplified Doubly Asymptotic Approximation Boundary for Foundations Dynamic Analysis

摘要

The paper presents a simplified doubly asymptotic approximation boundary (spring-viscous boundary) for infinite medium used in finite element method, which can be applied to both static and dynamic foundation problems. The boundary can be realized by using special boundary elements. The spring part of this boundary can be determined by Mindlin Equations, and frequency dependent viscous material (resistance proportional to velocity) is introduced into the boundary elements to simulate dashpots of the viscous boundary. When choosing appropriate parameters of Young’s modulus, Poisson’s ratio and material damping ratio, these boundary elements can simulate not only the elasticity recovery capacity of the far field media, but also the radiation damping. Two case studies justify the validity and practicability of this simplified boundary, which proves that it is applicable to the dynamic soil-structure interaction analysis.