Two Node Link Element: Difference between revisions

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{{CommandManualMenu}}
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This command is used to construct a twoNodeLink element object, which is defined by two nodes. The element can have zero or non-zero length. This element can have 1 to 6 degrees of freedom, where only the transverse and rotational degrees of freedom are coupled as long as the element has non-zero length. In addition, if the element length is larger than zero, the user can optionally specify how the P-Delta moments around the local x- and y-axis are distributed among a moment at node i, a moment at node j, and a shear couple. The sum of these three ratios is always equal to 1. If the element has non-zero length, the local x-axis is determined from the nodal geometry unless the optional x-axis vector is specified in which case the nodal geometry is ignored and the user-defined orientation is utilized. It is important to recognize that if this element has zero length, it does not consider the geometry as given by the nodal coordinates, but utilizes the the user-defined orientation vectors to determine the directions of the springs.
This command is used to construct a twoNodeLink element object, which is defined by two nodes. The element can have zero or non-zero length. This element can have 1 to 6 degrees of freedom, where only the transverse and rotational degrees of freedom are coupled as long as the element has non-zero length. In addition, if the element length is larger than zero, the user can optionally specify how the P-Delta moments around the local x- and y-axis are distributed among a moment at node i, a moment at node j, and a shear couple. The sum of these three ratios is always equal to 1. In addition the shear center can be specified as a fraction of the element length from the iNode. The element does not contribute to the Rayleigh damping by default. If the element has non-zero length, the local x-axis is determined from the nodal geometry unless the optional x-axis vector is specified in which case the nodal geometry is ignored and the user-defined orientation is utilized. It is important to recognize that if this element has zero length, it does not consider the geometry as given by the nodal coordinates, but utilizes the user-defined orientation vectors to determine the directions of the springs.
 


{|  
{|  
| style="background:yellow; color:black; width:800px" | '''element twoNodeLink $eleTag $iNode $jNode -mat $matTags -dir $dirs <-orient <$x1 $x2 $x3> $y1 $y2 $y3> <-pDelta (4 $Mratio)> <-shearDist (2 $sDratios)> <-mass $m>'''
| style="background:lime; color:black; width:800px" | '''element twoNodeLink $eleTag $iNode $jNode -mat $matTags -dir $dirs <-orient <$x1 $x2 $x3> $y1 $y2 $y3> <-pDelta (4 $Mratio)> <-shearDist (2 $sDratios)> <-doRayleigh> <-mass $m>'''
|}
|}


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| '''$matTags''' || tags associated with previously-defined UniaxialMaterial objects
| '''$matTags''' || tags associated with previously-defined UniaxialMaterial objects
|-
|-
| '''$dirs''' || material directions: 1,2,3 - translation along local x,y,z axes, respectively
| '''$dirs''' || material directions:
|                                                        4,5,6 - rotation about local x,y,z axes, respectively
|-
| || ''2D-case'': 1,2 - translations along local x,y axes; 3 - rotation about local z axis
|-
| || ''3D-case'': 1,2,3 - translations along local x,y,z axes; 4,5,6 - rotations about local x,y,z axes
|-
|-
| '''$x1 $x2 $x3''' || vector components in global coordinates defining local x-axis (optional)
| '''$x1 $x2 $x3''' || vector components in global coordinates defining local x-axis (optional)
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| '''$y1 $y2 $y3''' || vector components in global coordinates defining local y-axis (optional)
| '''$y1 $y2 $y3''' || vector components in global coordinates defining local y-axis (optional)
|-
|-
| '''$Mratios''' || P-Delta moment contribution ratios, size of ratio vector is 4 (entries: [My_iNode, My_jNode, Mz_iNode, Mz_jNode]) My_iNode + My_jNode <= 1.0, Mz_iNode + Mz_jNode <= 1.0. Remaining P-Delta moments are resisted by shear couples. (optional, default = [0.0 0.0 0.0 0.0])
| '''$Mratios''' || P-Delta moment contribution ratios, size of ratio vector is 2 for 2D-case and 4 for 3D-case
|-
|-
| '''$sDratios''' || Shear distances from iNode as a fraction of the element length, size of ratio vector is 2 (entries: [dy_iNode, dz_iNode] (optional, default = [0.5 0.5])
| || (entries: [My_iNode, My_jNode, Mz_iNode, Mz_jNode]) My_iNode + My_jNode <= 1.0, Mz_iNode + Mz_jNode <= 1.0.
|-
| || Remaining P-Delta moments are resisted by shear couples. (optional)
|-
| '''$sDratios''' || shear distances from iNode as a fraction of the element length, size of ratio vector is 1 for 2D-case and 2 for 3D-case
|-
| || (entries: [dy_iNode, dz_iNode] (optional, default = [0.5 0.5])
|-
| '''-doRayleigh''' || to include Rayleigh damping from the element (optional, default = no Rayleigh damping contribution)
|-
|-
| '''$m''' || element mass (optional, default = 0.0)
| '''$m''' || element mass (optional, default = 0.0)
|}
|}


[[File:TwoNodeLinkElement.png]]
----


NOTE:
NOTE:
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The valid queries to a twoNodeLink element when creating an ElementRecorder object are 'force,' 'localForce,' 'basicForce,' 'localDisplacement,' 'basicDisplacement' and 'material $matNum matArg1 matArg2 ...' Where $matNum is the number associated with the material whose data is to be output.
The valid queries to a twoNodeLink element when creating an ElementRecorder object are 'force,' 'localForce,' 'basicForce,' 'localDisplacement,' 'basicDisplacement' and 'material $matNum matArg1 matArg2 ...' Where $matNum is the number associated with the material whose data is to be output.


----


EXAMPLES:
EXAMPLES:


2D:
element twoNodeLink 1 1 2 -mat 1 2 3 -dir 1 2 3;
3D:
element twoNodeLink 1 1 2 -mat 1 2 3 -dir 1 2 6;
element twoNodeLink 1 1 2 -mat 1 2 3 -dir 1 2 6;


Latest revision as of 00:52, 8 May 2014



This command is used to construct a twoNodeLink element object, which is defined by two nodes. The element can have zero or non-zero length. This element can have 1 to 6 degrees of freedom, where only the transverse and rotational degrees of freedom are coupled as long as the element has non-zero length. In addition, if the element length is larger than zero, the user can optionally specify how the P-Delta moments around the local x- and y-axis are distributed among a moment at node i, a moment at node j, and a shear couple. The sum of these three ratios is always equal to 1. In addition the shear center can be specified as a fraction of the element length from the iNode. The element does not contribute to the Rayleigh damping by default. If the element has non-zero length, the local x-axis is determined from the nodal geometry unless the optional x-axis vector is specified in which case the nodal geometry is ignored and the user-defined orientation is utilized. It is important to recognize that if this element has zero length, it does not consider the geometry as given by the nodal coordinates, but utilizes the user-defined orientation vectors to determine the directions of the springs.

element twoNodeLink $eleTag $iNode $jNode -mat $matTags -dir $dirs <-orient <$x1 $x2 $x3> $y1 $y2 $y3> <-pDelta (4 $Mratio)> <-shearDist (2 $sDratios)> <-doRayleigh> <-mass $m>
$eleTag unique element object tag
$iNode $jNode end nodes
$matTags tags associated with previously-defined UniaxialMaterial objects
$dirs material directions:
2D-case: 1,2 - translations along local x,y axes; 3 - rotation about local z axis
3D-case: 1,2,3 - translations along local x,y,z axes; 4,5,6 - rotations about local x,y,z axes
$x1 $x2 $x3 vector components in global coordinates defining local x-axis (optional)
$y1 $y2 $y3 vector components in global coordinates defining local y-axis (optional)
$Mratios P-Delta moment contribution ratios, size of ratio vector is 2 for 2D-case and 4 for 3D-case
(entries: [My_iNode, My_jNode, Mz_iNode, Mz_jNode]) My_iNode + My_jNode <= 1.0, Mz_iNode + Mz_jNode <= 1.0.
Remaining P-Delta moments are resisted by shear couples. (optional)
$sDratios shear distances from iNode as a fraction of the element length, size of ratio vector is 1 for 2D-case and 2 for 3D-case
(entries: [dy_iNode, dz_iNode] (optional, default = [0.5 0.5])
-doRayleigh to include Rayleigh damping from the element (optional, default = no Rayleigh damping contribution)
$m element mass (optional, default = 0.0)


NOTE:

If the element has zero length and optional orientation vectors are not specified, the local element axes coincide with the global axes. Otherwise the local z-axis is defined by the cross product between the x- and y-vectors specified on the command line.

The valid queries to a twoNodeLink element when creating an ElementRecorder object are 'force,' 'localForce,' 'basicForce,' 'localDisplacement,' 'basicDisplacement' and 'material $matNum matArg1 matArg2 ...' Where $matNum is the number associated with the material whose data is to be output.


EXAMPLES:

2D: element twoNodeLink 1 1 2 -mat 1 2 3 -dir 1 2 3;

3D: element twoNodeLink 1 1 2 -mat 1 2 3 -dir 1 2 6;


Code Developed by: Andreas Schellenberg, University of California, Berkeley.

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