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*GRDAMEM

Data format:

A single line with up to 7 values

IGR ITAB IOP TCAL IOA AMP

Status :

Optional (dynamics)

Purpose :

To define a specific damping per frequency on a group of elements in time domain

Restrictions :

All elements of the group must be beam elements

Details :

Parameter Description
IGR Group ID number
ITAB Table ID number defined by *TABLEMCOL
IOP = 0 : Triangle function (Recommended)
= 1 : Step function
TCAL Time to compute retardation function. If TCAL=0, a table is defined with a single line and three columns then Rayleigh damping is used based on \(\frac{\epsilon}{𝜋𝑓}\) where \(f\) and \(\epsilon\) are the frequency and damping ratio in the table
IOA = 0 Amplitude given by the formula below (note 2) - Damping on velocity
= 1 Amplitude is directly \(𝐵_{max}\) - Damping on velocity
= 2 Amplitude given by the formula below (note 2) - Damping on velocity gradient
= 3 Amplitude is directly \(𝐵_{max}\) - Damping on velocity gradient
AMP If ITAB=0, AMP is used directly without memory effect
IDOF Six digit integer to apply damping on specific dofs in local frame (For instance 111000 for translations). If not provided or 0, all dofs are damped

1- The table must have three columns :
if TCAL non zero: Frequency (Hz), Frequency increment (Hz) [considered symmetric], Damping (\(\beta\))
Otherwise : Frequency (Hz), 0, Damping ratio (\(\epsilon\))

2- The damping is applied as $𝐵_{max}=\beta K $ where \(K\) is the complete stiffness matrix of the element. The retardation function is then computed as \(\frac{2}{\pi}\int_{0}^{\infty} {𝐵_{max} B(\omega) \cos{(\omega t})d\omega}\)