A new combinational force-displacement hysteresis model presented to estimate seismic residual displacement in single-column concrete bridges

When bridges are subjected to large inelastic deformations during near field ground motions, they do not often return to their initial vertical positions and may have considerable residual displacement. Even if collapse is not occurred, large residual displacements may make them unusable or irreparable. This large residual displacement causes no collapse in bridges while it may make them unusable or irreparable after earthquake. Therefore, the measurement and estimation of residual displacement are of a great deal of importance in assessment and serviceability of bridges after earthquake. The Initial hysteresis models have been developed for dynamic analysis of conventional concrete columns and are often unable to estimate high residual displacements occurred in biased and one-sided motions. The aim of this research is development a new hysteresis model based on peak displacement oriented which is able to provide adequate residual displacement compared to conventional models. This multi linear peak oriented model considers strength deterioration in half cycles in addition to stiffness degradations in unloading cycles. Yielding points differ in both positive and negative sides of hysteresis model enabling us to define a different elastic stiffness of both sides in asymmetric concrete sections.
Another remarkable property of this model is breaking points and strength deterioration in unloading and reloading stages, respectively. The performance of conventional hysteresis model was investigated in estimation of seismic residual displacement in cyclic and dynamic analysis in addition to a new combinational hysteresis model. The obtained results indicate that the new studied hysteretic model has higher accuracy in comparison with other current models.