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Report - PEER - University of California, Berkeley

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members, is the main feature <strong>of</strong> the model. A sketch <strong>of</strong> the model is given in Figure 5.The governing rules and details <strong>of</strong> the hysteresis model can be found in Sucuoğlu andErberik (2004).Figure 6 demonstrates that the hysteresis model simulates the observed energydissipation reasonably well for the test specimen PJ2 under constant amplitude cyclicloading, although the parameter estimation is based on cumulative dissipated energyvariation. In figure, the comparison <strong>of</strong> the experimental and analytical forcedisplacementcurves is given on the left and the comparison <strong>of</strong> the experimental andpredicted normalized dissipated energy per cycle (Ē h,n ) vs. the cycle numberrelationship is given on the right. The same model can also predict energy dissipationcharacteristics under variable amplitude loading as shown in Figure 7 for thespecimen ES4. Cumulative dissipated energy per half-cycle (ΣE h ) vs. half-cyclenumber relationship for ES4 is used for comparison since variable amplitude is notsymmetric and amplitude <strong>of</strong> loading changes per half-cycle.FyFKoaKoKuKruKuKraKo-FyFigure 5. Energy-based hysteresis model.120ExperimentalDataAnalyticalModel0-120F (kN)-25 0 25u (mm)Figure 6. Comparison <strong>of</strong> experimental data and analytical model for PJ1.1Ēh,n (kNmm)0Experimental DataAnalytical Model1 2 3 4 5 6 7 8 9Cycle number, n428

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