*NMAP

Map nodes from one coordinate system to another and rotate, translate, or scale the nodal coordinates.

Map nodes from one coordinate system to another and rotate, translate, or scale the nodal coordinates.

This page discusses:

Required parameters

NSET

Set this parameter equal to the name of the node set containing the nodes to be mapped. The nodes that are mapped are those that belong to this set at the time this option is encountered.

TYPE

Set TYPE=ROTATION to introduce a rotation of a specified angle about a given axis defined by two points a and b (or by the coordinates of these points). The origin of rotation is given by a third point c (or by the coordinates of this point).

Set TYPE=TRANSLATION to introduce a translation along a given axis defined by two nodes a and b (or by the coordinates of these points).

Set TYPE=SCALE to scale each axis with respect to one node a (or by the coordinates of this point).

Set TYPE=RECTANGULAR to introduce a simple shift or rotation. Point a in Figure 1 defines the origin of the local rectangular coordinate system defining the map. The local x^-axis is defined by the line joining points a and b. The local x^–y^ plane is defined by the plane passing through points a, b, and c.

Set TYPE=CYLINDRICAL to map from cylindrical coordinates. Point a in Figure 1 defines the origin of the local cylindrical coordinate system defining the map. The line going through point a and point b defines the z^-axis of the local cylindrical coordinate system. The local r^–z^ plane for θ=0 is defined by the plane passing through points a, b, and c.

Set TYPE=DIAMOND to map from skewed Cartesian coordinates. Point a in Figure 1 defines the origin of the local diamond coordinate system defining the map. The line going through point a and point b defines the x^-axis of the local coordinate system. The line going through point a and point c defines the y^-axis of the local coordinate system. The line going through point a and point d defines the z^-axis of the local coordinate system.

Set TYPE=SPHERICAL to map from spherical coordinates. Point a in Figure 1 defines the origin of the local spherical coordinate system defining the map. The line going through point a and point b defines the polar axis of the local spherical coordinate system. The plane passing through point a and perpendicular to the polar axis defines the ϕ=0 plane. The plane passing through points a, b, and c defines the local θ=0 plane.

Set TYPE=TOROIDAL to map from toroidal coordinates. Point a in Figure 1 defines the origin of the local toroidal coordinate system defining the map. The axis of the local toroidal system lies in the plane defined by points a, b, and c. The R-coordinate of the toroidal system is defined by the distance between points a and b. The line between points a and b defines the ϕ=0 position. For every value of ϕ the θ-coordinate is defined in a plane perpendicular to the plane defined by the points a, b, and c and perpendicular to the axis of the toroidal system. θ=0 lies in the plane defined by the points by a, b, and c.

Set TYPE=BLENDED to map via blended quadratics in an Abaqus/Standard analysis.

Optional parameters

DEFINITION

Set DEFINITION =COORDINATES (default) to define the local system, the axis of rotation, the origin of rotation, or the axis of translation by giving the coordinates of the points a, b, c, and d whichever appropriate for the chosen type.

Set DEFINITION=NODES to define the local system, the axis of rotation, the origin of rotation, or the axis of translation by giving global node numbers for points a, b, c, and d depending on the type. This option cannot be used with TYPE=BLENDED.

Data lines for TYPE=ROTATION, DEFINITION=COORDINATES

First line

  1. X-coordinate of point a.

  2. Y-coordinate of point a.

  3. Z-coordinate of point a.

  4. X-coordinate of point b.

  5. Y-coordinate of point b.

  6. Z-coordinate of point b.

Second line

  1. X-coordinate of point c.

  2. Y-coordinate of point c.

  3. Z-coordinate of point c.

Third line

  1. The rotation angle in degrees.

Data lines for TYPE=ROTATION, DEFINITION=NODES

First line

  1. Local node number of point a.

  2. Local node number of point b.

Second line

  1. Local node number of point c.

Third line

  1. The rotation angle in degrees.

Data lines for TYPE=TRANSLATION, DEFINITION=COORDINATES

First line

  1. X-coordinate of point a.

  2. Y-coordinate of point a.

  3. Z-coordinate of point a.

  4. X-coordinate of point b.

  5. Y-coordinate of point b.

  6. Z-coordinate of point b.

Second line

  1. The translation magnitude.

Data lines for TYPE=TRANSLATION, DEFINITION=NODES

First line

  1. Local node number of point a.

  2. Local node number of point b.

Second line

  1. The translation magnitude.

Data lines for TYPE=SCALE, DEFINITION=COORDINATES

First line

  1. X-coordinate of point a.

  2. Y-coordinate of point a.

  3. Z-coordinate of point a.

Second line

  1. Scale factor to be applied to the first local coordinate.

  2. Scale factor to be applied to the second local coordinate.

  3. Scale factor to be applied to the third local coordinate.

Data lines for TYPE=SCALE, DEFINITION=NODES

First line

  1. Local node number of point a.

Second line

  1. Scale factor to be applied to the first local coordinate before mapping.

  2. Scale factor to be applied to the second local coordinate before mapping.

  3. Scale factor to be applied to the third local coordinate before mapping.

Data lines for TYPE=RECTANGULAR, CYLINDRICAL, DIAMOND, SPHERICAL, or TOROIDAL with DEFINITION=COORDINATES

First line

  1. X-coordinate of point a (see Figure 1).

  2. Y-coordinate of point a.

  3. Z-coordinate of point a.

  4. X-coordinate of point b.

  5. Y-coordinate of point b.

  6. Z-coordinate of point b.

Second line

  1. X-coordinate of point c.

  2. Y-coordinate of point c.

  3. Z-coordinate of point c.

  4. The following fields are needed only for TYPE=DIAMOND:

  5. X-coordinate of point d.

  6. Y-coordinate of point d.

  7. Z-coordinate of point d.

If TYPE=RECTANGULAR is specified and only point a is given, the coordinates of the nodes in the set are simply shifted by Xa, Ya, and Za.

Third line

  1. Scale factor to be applied to the first local coordinate before mapping. If the value entered is zero or blank, a scale factor of 1.0 is assumed.

  2. Scale factor to be applied to the second local coordinate before mapping. If the value entered is zero or blank, a scale factor of 1.0 is assumed.

  3. Scale factor to be applied to the third local coordinate before mapping. If the value entered is zero or blank, a scale factor of 1.0 is assumed.

Data lines for TYPE=RECTANGULAR, CYLINDRICAL, DIAMOND, SPHERICAL, or TOROIDAL with DEFINITION=NODES

First line

  1. Local node number of point a.

  2. Local node number of point b.

Second line

  1. Local node number of point c.

  2. The following field is needed only for TYPE=DIAMOND:

  3. Local node number of point d.

If TYPE=RECTANGULAR is specified and only point a is given, the coordinates of the nodes in the set are simply shifted by Xa, Ya, and Za.

Third line

  1. Scale factor to be applied to the first local coordinate before mapping. If the value entered is zero or blank, a scale factor of 1.0 is assumed.

  2. Scale factor to be applied to the second local coordinate before mapping. If the value entered is zero or blank, a scale factor of 1.0 is assumed.

  3. Scale factor to be applied to the third local coordinate before mapping. If the value entered is zero or blank, a scale factor of 1.0 is assumed.

Data lines for TYPE=BLENDED

First line

  1. Node number of the first control node.

  2. X-coordinate of the point to which this control node is to be mapped.

  3. Y-coordinate of the point to which this control node is to be mapped.

  4. Z-coordinate of the point to which this control node is to be mapped.

Second line

  1. Node number of the second control node.

  2. X-coordinate of the point to which this control node is to be mapped.

  3. Y-coordinate of the point to which this control node is to be mapped.

  4. Z-coordinate of the point to which this control node is to be mapped.

Continue, giving up to 20 control nodes, but giving at least the eight corner nodes. If an edge of the blended mapping is to be mapped linearly, the corresponding mid-edge control node can be omitted from the list. This is done by inserting a line with node number 0 only (a blank line) in place of the definition of the control node and its mapped coordinates. The control nodes do not have to be nodes in the finite element model—they can be nodes used just for mesh generation. Abaqus eliminates any nodes that are not used in the analysis model before doing the analysis.

Coordinate systems; angles are in degrees.

 

See Also
Node Definition