Simplified approximate method for analysis of rocking systems accounting for soil inelasticity and foundation uplifting

I. Anastasopoulos (Lead / Corresponding author), T. Kontoroupi

    Research output: Contribution to journalArticlepeer-review

    60 Citations (Scopus)


    A simplified approximate method to analyze the rocking response of SDOF systems lying on compliant soil is introduced, accounting for soil inelasticity and foundation uplifting. The soil-foundation system is replaced by a nonlinear rotational spring, accompanied by a linear rotational dashpot, and linear horizontal and vertical springs and dashpots. Considering a square footing on clay under undrained conditions, the necessary moment-rotation (M-θ) relations are computed through monotonic pushover finite element (FE) analyses, employing a thoroughly-validated constitutive model. Cyclic pushover analyses are performed to compute the damping-rotation (CR-θ) relations, necessary to calibrate the rotational dashpot, and the settlement-rotation (Δw-θ) relations, required to estimate the dynamic settlement. The effectiveness of the simplified method is verified through dynamic time history analyses, comparing its predictions with the results of 3D FE analyses. The simplified method is shown to capture the entire rotation time history θ(t) with adequate accuracy. The latter is used to compute the time history of dynamic settlement w(t), employing a simplified approximate procedure. The proposed simplified method should, by no means, be considered a substitute for more sophisticated analysis methods. However, despite its limitations, it may be utilized for (at least preliminary) design purposes.
    Original languageEnglish
    Pages (from-to)28-43
    Number of pages16
    JournalSoil Dynamics and Earthquake Engineering
    Publication statusPublished - 2014


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