3.1.10.66. HDR Element

This command constructs a three-dimensional high damping rubber (HDR) bearing element using the Grant et al. (2004) biaxial shear model. Axial and rotational behavior follow the same framework as ElastomericX Element. Use with -ndm 3 -ndf 6.

element HDR $eleTag $Nd1 $Nd2 $Gr $Kbulk $D1 $D2 $ts $tr $n $a1 $a2 $a3 $b1 $b2 $b3 $c1 $c2 $c3 $c4 <$x1 $x2 $x3 $y1 $y2 $y3> <$kc> <$PhiM> <$ac> <$sDratio> <$m> <$tc>

Argument	Type	Description
$eleTag	integer	unique element tag
$Nd1 $Nd2	integer	end nodes
$Gr	float	shear modulus of elastomer
$Kbulk	float	bulk modulus of rubber
$D1	float	internal diameter
$D2	float	outer diameter excluding cover thickness
$ts	float	single steel shim layer thickness
$tr	float	single rubber layer thickness
$n	integer	number of rubber layers
$a1 $a2 $a3 $b1 $b2 $b3 $c1 $c2 $c3 $c4	float	Grant model shear parameters
$kc	float	cavitation parameter (optional; default 10.0)
$PhiM	float	damage parameter (optional; default 0.5)
$ac	float	strength reduction parameter (optional; default 1.0)
$sDratio	float	shear distance from iNode as fraction of length (optional; default 0.5)
$m	float	element mass (optional; default 0.0)
$tc	float	cover thickness (optional; default 0.0)

Note

Use Parameters Element Recorder to obtain cavitation force; buckling capacity; and vertical stiffness.

Example

1. Tcl Code

element HDR 1 1 2 0.8 2.0e9 0.0 0.6 0.003 0.01 20 1.0 0.5 0.0 1.0 0.5 0.0 1.0 0.5 0.0 1.0

2. Python Code

element('HDR', 1, 1, 2, 0.8, 2.0e9, 0.0, 0.6, 0.003, 0.01, 20,
        1.0, 0.5, 0.0, 1.0, 0.5, 0.0, 1.0, 0.5, 0.0, 1.0)

Code developed by: Manish Kumar, University at Buffalo, SUNY