BWBN Material

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This command is used to construct a uniaxial Bouc-Wen hysteretic material object that incorporates pinching. This material model is an extension of the original Bouc-Wen model that includes pinching (Baber and Noori (1986)).

uniaxialMaterial BWBN $matTag $alpha $ko $n $gamma $beta $Ao $q $zetas $p $Shi $deltaShi $lambda $tol $maxIter

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$matTag	integer tag identifying material
$alpha	ratio of post-yield stiffness to the initial elastic stiffenss (0< <math>\alpha</math> <1)
$ko	initial elastic stiffness
$n	parameter that controls transition from linear to nonlinear range (as n increases the transition becomes sharper; n is usually grater or equal to 1)
$gamma $beta	parameters that control shape of hysteresis loop; depending on the values of <math>\gamma</math> and <math>\beta</math> softening, hardening or quasi-linearity can be simulated (look at the BoucWen Material)
$Ao	parameter that controls tangent stiffness
$q $zetas $p $Shi $deltaShi $lambda	parameters that control pinching
$tol	tolerance
$maxIter	maximum iterations

REFERENCES:

Raquibul Hossain, Mahmud Ashraf, Jamie E. Padgett (2013). "Risk-based seismic performance assessment of Yielding Shear Panel Device", Engineering Structures, Volume 56, November 2013, Pages 1570–1579

Raquibul Hossain and Mahmud Ashraf (2012). "Mathematical modelling of yielding shear panel device", Thin-Walled Structures, Volume 59, October 2012, Pages 153–161

Baber, T. T., & Noori, M. N. (1986). Modeling general hysteresis behavior and random vibration application. Journal of Vibration Acoustics Stress and Reliability in Design, 108, 411

Bouc, R. (1971). "Mathematical model for hysteresis." Report to the Centre de Recherches Physiques, pp16-25, Marseille, France

Wen, Y.-K. (1976). \Method for random vibration of hysteretic systems." Journal of Engineering Mechanics Division, 102(EM2), 249-263

DEVELOPED BY: Raquibul Hossain, The University of Queensland, Australia