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Bouc–Wen class models have been widely used to describe the hysteretic behaviors of structures in nonlinear dynamic and stochastic analyses. Since the existing Bouc–Wen class models cannot fully represent the hysteretic characteristics of reinforced concrete (RC) columns with structural degradation, the model fitted to the hysteresis loop from a specific input loading may not provide accurate response predictions under general loading conditions. To address this issue, we first identify two hysteresis mechanisms of RC columns, namely acute deterioration and pinching relaxation. Next, a new Bouc–Wen model is proposed to describe the hysteresis mechanisms based on the modified Bouc–Wen–Baber–Noori (m-BWBN) model. The proposed model considers the hysteresis mechanisms by two additional parameters, which are adequately bounded to facilitate the parameter identification process. Two different …