A New Displacement-Control Analytical Hysteresis Model for Structural Systems

This study introduces a mathematical model to represent the hysteresis behavior of structural systems. Compared with some of the analytical models currently in use, this model (which considers different structural phenomena, including pinching, stiffness degradation, strength deterioration, and sliding) yields more precise responses. This model is based on Mostaghel's well-known model, although some essential modifications and sliding effects are also considered. The model is developed based on a simple single-degree-of-freedom multi-linear mechanical system and on the development of partial differential equations. The proposed model includes the basic characteristics of the hysteresis cycles that can be easily measured through experimental tests. To demonstrate the degrading phenomena of the hysteresis behavior of the structures, several examples of different actual structural systems are presented, to show that the proposed analytical model can provide realistic descriptions of the structural hysteretic performances. In addition, comparisons between the outputs of this model and some hysteretic curves of other models are presented to show the high capability and accuracy of the proposed model.