Nonlinear Modeling of Double-Loop Hysteretic Systems

This paper presents two new dynamic hysteresis models obtained from the Bouc-Wen model by incorporating position and acceleration information. On one hand, the model employing position information is rate-independent and it is able to reproduce some kind of double hysteretic loops unable to be reproduced with the original Bouc-Wen model. On the other hand, the model employing acceleration information is insensitive to linear time-scale variations. Double hysteretic loops have been experimentally reported and seen in shape memory alloys, reinforced concrete structures, wood structures and lightweight steel shear wall structures. The proposed hysteretic models represent a prominent use in the field of structural dynamics and earthquake engineering because they can capture the non-linear dynamics of the materials and structures presented earlier when they are subjected to dynamic loads as an earthquake excitation, using the position and acceleration information, being the last one an available source in the field with the use of accelerometers.