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Newmark Method

This command is used to construct a TransientIntegrator object of type Newmark.

integrator Newmark $gamma $beta <$alphaM $betaK $betaKinit $betaKcomm>

$gamma

Newmark parameter ?

$beta

Newmark parameter ?

$alphaM $betaK $betaKinit $betaKcomm

Arguments to define Rayleigh damping matrix (optional, default: zero)

The damping matrix D is specified as a combination of stiffness and mass-proportional damping matrices:

D = $alphaM * M + $betaK * Kcurrent +$betaKinit * Kinit + $betaKcomm * KlastCommit

The mass and stiffness matrices are defined as:

M

mass matrix used to calculate Rayleigh Damping

Kcurrent

stiffness matrix at current state determination used to calculate Rayleigh Damping

Kinit

stiffness matrix at initial state determination used to calculate Rayleigh Damping

KlastCommit

stiffness matrix at last-committed state determination used to calculate Rayleigh Damping

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