Displacement Control Based Analytical Description of Pinching, Sliding, Degrading Hysteretic System

In this paper, an analytical model is introduced to show the cyclic behavior of the structures, considering degradation phenomena including pinching, stiffness degradation, strength deterioration and sliding effects. This model is based on well-known Mostaghel’s model though some essential modifications as well as sliding effect are also taken into account. This model is developed based on a simple single degree of freedom and multi-degree of freedom multi-linear mechanical systems and developing of partial differential equations. The proposed model includes basic characteristics of the hysteresis cycles that can be easily measured through the experimental tests. It is notable that usually the experiments conducted on the structural members are displacement-control based. Hence, in order to properly implement the analytical model with the experimental results, the proposed model has been developed according to displacement-control. The cyclic loading regime applied to this model is based on standard ASTM E2126-07 method B. In order to demonstrate the degrading phenomena of the hysteresis behavior of the structures, several examples of a structural system are presented to show that the proposed analytical model can provide realistic descriptions of the structural hysteretic performances.