Constrain nodes displacements in 2D

It’s passed a list of dictionaries. There are two options for constrain nodes displacements:

  • Constrain nodes displacements by column

  • Constrain nodes displacements by coordinate

Hint

It’s possible combine and use both options.

Constrain nodes displacements by coordinate

The dictionary has the following keys:

  • “x_coord”: coordinate in X-axis.

  • “y_coord”: coordinate in Y-axis.

  • “constrain_disp_x”: indicates if the node displacement is contraint in X-direction.

    • If 1 constrain the node displacement in the X-direction.

    • If 0 don’t constrain the node displacement in the X-direction.

  • “constrain_disp_y”: indicates if the node displacement is contraint in Y-direction.

    • If 1 constrain the node displacement in the Y-direction.

    • If 0 don’t constrain the node displacement in the Y-direction.

In the example is constrained the node displacement at coordinate (0, 0.7).

restri_matrix = [{"x_coord":0, "y_coord":0.7, "constrain_disp_x":1, "constrain_disp_y":1}]

The resulting mesh is shown in figure 5.

../_images/fig6.png

Figure 5: Mesh with X and Y axes constrained of the eighth node.

Constrain nodes displacements by column

The dictionary has the following keys:

  • “coord”: coordinate.

  • “axis”: Direction that the node displacement is constraint. It can be: 1 (X-Axis) or 2 (Y-Axis).

  • “eps”: Margin of error.

  • “constrain_disp_x”: indicates if the node displacement is contraint in X-direction.

    • If 1 constrain the node displacement in the X-direction.

    • If 0 don’t constrain the node displacement in the X-direction.

  • “constrain_disp_y”: indicates if the node displacement is contraint in Y-direction.

    • If 1 constrain the node displacement in the Y-direction.

    • If 0 don’t constrain the node displacement in the Y-direction.

restri_matrix = [{"coord":0.2, "axis":2, "eps":0.001, "constrain_disp_x":1, "constrain_disp_y":0}]

In the example is constrained all the node displacements in X-direction with Y = 0.2.

The resulting mesh is shown in figure 6.

../_images/fig1.png

Figure 6: Mesh with X-axis nodes constrained with Y = 0.2.