Analytical Description of Pinching, Degrading, and Sliding in a Bilinear Hysteretic System

AbstractA differential model is presented to show the behavior of general hysteretic systems considering all relevant structural characteristics, including pinching, stiffness degradation, load deterioration, and sliding. This model is generated based on Mostaghel’s model, which already includes all...

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Bibliographic Details
Published in:Journal of engineering mechanics 2012-11, Vol.138 (11), p.1381-1387
Main Authors: Zeynalian, Mehran, Ronagh, H. R, Dux, P
Format: Article
Language:English
Subjects:
Degradation
Deterioration
Differential equations
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Hysteresis
Mathematical analysis
Mathematical models
Physics
Sliding
Solid mechanics
Structural and continuum mechanics
Systems analysis
Technical Papers
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Summary:AbstractA differential model is presented to show the behavior of general hysteretic systems considering all relevant structural characteristics, including pinching, stiffness degradation, load deterioration, and sliding. This model is generated based on Mostaghel’s model, which already includes all of these characteristics except sliding. Thus, an attempt is made to develop the model to also cover sliding. A single-degree-of-freedom system is used to develop the hysteretic model by writing a system of ordinary differential equations. The proposed model captures the key features of the hysteretic cycles of any structure using some measurable system parameters through tests. A few examples of bilinear systems excited by harmonic loads are provided to show that the descriptions of the force-displacement performance of general hysteretic systems are realistic.
ISSN:0733-9399
1943-7889
DOI:10.1061/(ASCE)EM.1943-7889.0000442