Minimum Unbalanced Displacement Norm

This command is used to construct a StaticIntegrator object of type MinUnbalDispNorm.

integrator MinUnbalDispNorm $dlambda1 <$Jd $minLambda
        $maxLambda>

dlambda1

first load increment (pseudo-time step) at the first iteration in the next invocation of the analysis command.

Jd

factor relating first load increment at subsequent time steps (optional, default: 1.0)

$minLambda, $maxLambda

arguments used to bound the load increment (optional, default: $dLambda1 for both)


Examples

integrator MinUnbalDispNorm 0.1;


Theory

The load increment at iteration i, \(d\lambda_{1,i}\) , is related to the load increment at (i-1), \(d\lambda_{1,i-1}\), and the number of iterations at (i-1), \(J_{i-1}\), by the following:

\[d\lambda_{1,i} = d\lambda_{1,i-1}\frac{J_d}{J_{i-1}}\]


Code Developed by: fmk

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