Inelastic displacement ratios for evaluation of stiffness degrading structures with soil structure interaction built on soft soil sites

Abstract

In this study, inelastic displacement ratios are investigated for existing systems with known lateral strength considering soil structure interaction. For this purpose, SDOF systems for period range of 0.1-3.0 s with different hysteretic behaviors are considered for a number of 18 earthquake motions recorded on soft soil. The effect of stiffness degradation on inelastic displacement ratios is investigated. The Modified Clough model is used to represent structures that exhibit significant stiffness degradation when subjected to reverse cyclic loading and the elastoplastic model is used to represent non-degrading structures. Soil structure interaction analyses are conducted by means of equivalent fixed base model effective period, effective damping and effective ductility values differing from fixed-base case. For inelastic time history analyses, Newmark method for step by step time integration was adapted in an in-house computer program. A new equation is proposed for inelastic displacement ratio of system with SSI with elastoplastic or degrading behavior as a function of structural period (<TEX>$\tilde{T}$</TEX>), strength reduction factor (R) and period lengthening ratio (<TEX>$\tilde{T}$</TEX>/T). The proposed equation for <TEX>$\tilde{C}_R$</TEX> which takes the soil-structure interaction into account should be useful in estimating the inelastic deformation of existing structures with known lateral strength.