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KikuchiAikenLRB.rst

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KikuchiAikenLRB Material

uniaxialMaterial('KikuchiAikenLRB', matTag, type, ar, hr, gr, ap, tp, alph, beta, <'-T', temp>, <'-coKQ', rk, rq>, <'-coMSS', rs, rf>)

This command is used to construct a uniaxial KikuchiAikenLRB material object. This material model produces nonlinear hysteretic curves of lead-rubber bearings.

matTag integer tag identifying material
type rubber type (see note 1)
ar area of rubber [unit: m^2]
hr total thickness of rubber [unit: m]
gr shear modulus of rubber [unit: N/m^2]
ap area of lead plug [unit: m^2]
tp yield stress of lead plug [unit: N/m^2]
alph shear modulus of lead plug [unit: N/m^2]
beta ratio of initial stiffness to yielding stiffness
temp temperature [unit: °C]
rk rq reduction rate for yielding stiffness ( rk) and force at zero displacement ( rq)
rs rf reduction rate for stiffness ( rs) and force ( rf) (see note 3)

Note

  1. Following rubber types for type are available:
    • 1 lead-rubber bearing, up to 400% shear strain [Kikuchi et al., 2010 & 2012]
  2. This material uses SI unit in calculation formula. Input arguments must be converted into [m], [m^2], [N/m^2].
  3. rs and rf are available if this material is applied to multipleShearSpring (MSS) element. Recommended values are rs = $\frac{1}{\sum_{i=0}^{n-1}\sin(\pi*i/n)^2}$ and rf = $\frac{1}{\sum_{i=0}{n-1}\sin(\pi*i/n)}$, where n is the number of springs in the MSS. For example, when n=8, rs = 0.2500 and rf = 0.1989.