Periodicity: definition (structure)

Definition

The Periodicity entity is defined by:

  • a name
  • a type of periodicity
  • position of periodicity planes

Name

The name to identify the periodicity is allocated automatically by Flux during the creation of this one.

The user cannot modify this name.

Types of periodicity: 2D domain

The periodicity types and the characteristics useful for their description are gathered in the table below.

Translation Included length Offset position
along X along the X axis along the X axis
along Y along the Y axis along the Y axis
Rotation with angle Included angle of the domain Offset angle
about Z axis about Z axis with respect to the ZOX plane
Rotation with number of repetitions Number of repetitions Offset angle
about Z-axis along Z with respect to the ZOX plane

Types of periodicity: 3D domain

The periodicity types and the characteristics useful for their description are gathered in the table below.

Translation Included length Offset position
along X along the X axis along the X axis
along Y along the Y axis along the Y axis
along Z along the Z axis along the Z axis
Rotation with angle Included angle of the domain Offset angle
about X-axis about X-axis with respect to the XOY plane
about Y-axis about Y-axis with respect to the YOZ plane
about Z-axis about Z-axis with respect to the ZOX plane
Rotation with number of repetitions Number of repetitions Offset angle
about X-axis along X with respect to the XOY plane
about Y-axis along Y with respect to the YOZ plane
about Z-axis along Z with respect to the ZOX plane

Composed periodicity (in 3D only)

The composed periodicity is a particular periodicity defined by the composition:

  • of a rotation about an axis X (Y, Z respectively)
  • of a symmetry with respect to the plane YOZ (ZOX, XOY respectively)

It is defined in the following manner:

  • the first plane (P1) is defined by its angular position with respect to the main plane XOZ (XOY, ZOY respectively): offset angle (θ1)
  • the second plane (P2) is defined by a rotation of plane P1 about Z-axis

    (X-axis, Y-axis respectively): rotation angle (θ2 - θ1)

    The rotation angle about the axis (θ2 - θ1) is

    where n is the number of repetitive patterns (repetitions).

  • the third plane (P3) is defined by a symmetry of the plane P2 with respect to the symmetry plane: offset position of the symmetry plane on the Z rotation axis (X-axis, Y-axis respectively)

Important

It is not possible to change the type of the periodicity by editing its dialog box.

To change the periodicity type:

  • Delete the periodicity
  • Create a new periodicity

Length and angle units

Length and angle units are those associated with the domain.

These units can be edited and modified in the dialog box of the Domain Type.