How to warp a lattice with sine wave spacing

Objective:

Learn how to warp a lattice with a sine wave field.

Procedure:

1a. Create a design space:

    • Import or create the geometry where you want the lattice to fill (this will be used at the end)
      • Create a Box with length 50 mm, width 10 mm, and height 10 mm

1b. Create a lattice in a region larger than the design space: (this allows us to create the sine field in a larger area and trim it down after)

    • Add a Periodic Lattice Body* block (*This is a beta block)
      • Insert a Graph Unit Cell
        • Set the unit type to Body Centered Cubic
      • Insert a Rectangular Cell Map
        •  Volume: Insert your own larger design space or add a Box with a length of 500 mm, width of 10 mm, and height of 10 mm (this is a lot longer than the design space created in Step 1a)
        • Set the Cell Size to 1 x 1 x 1 
      • Set the Thickness to 0 mm

sine_wave_1.jpg

2. Create the Sine wave field:

    • Add a Sin block
      • Insert a Divide block into the Operand input
        • Operand A: x
        • Operand B: 1mm
    • Add a Multiply block
      • Operand A: Insert the Sin block
      • Operand B: 1 mm

The divide and multiply blocks are to remove & re-assign units. The values of 1 mm can be changed to alter the wavelength and the amplitude. 

sine_wave_2.jpg

To preview the field, select the Multiply block and hit 'f' to bring up the Field Viewer. Set the Colormap to 'Turbo'.

sine_wave_5.jpg

    • Add a Remap Field block (this will re-map the lattice field with a sine wave in the x-axis)
      • Scalar Field: Insert the Implicit Property chip from the Periodic Lattice Body in Step 1
      • X: Insert the Multiply block
      • Y: Y
      • Z: Z

sine_wave_1.gif

3. Normalize the Field: This block is useful for remapping fields with severe deformations. It helps make the thickness more accurate. Without it, the underlying field can be stretched. 

4. Thicken the Lattice:

    • Add a Thicken Body block
      • Insert the Normalize Field block from Step 3
      • Set the Thickness to 0.25 mm

5. Trim the Lattice:

    • Add a Boolean Intersect block
      • Body 0: Thickened Lattice
      • Body 1: Design Space

sine_wave_4.jpg

sine_wave_3.jpg

And that’s it! You’ve successfully warped your lattice with a sine wave

Are you still having issues? Contact the support team, and we’ll be happy to help!

Download the Example file:

More on this topic:

Keywords:

 field lattice thicken view cell periodic unit remap multiply math beta mapping trim warp how-to size re sine sin wave normalize divide turbo 
Was this article helpful?

Comments

0 comments

Please sign in to leave a comment.