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Pillow Vault

A pillow vault is a type of vaulted ceiling with convex, pillow-like sections, often formed by intersecting barrel vaults or domes, creating a smooth, rounded appearance. It is a simplest example where all mesh boundary vertices are set as supports.


1. Create Pattern

Command: RV_pattern > RhinoMesh

Create a pattern from a mesh. You can start with the attached Rhino file or a session file.


2. Identify Supports

Command: RV_pattern_supports > Add> Manual> Select Vertices

Manually set the boundary points on the top and bottom edges of the mesh.


3. Form Diagram

Command: RV_form

The mesh geometry is converted into a line preview, marked with green lines.

examples_pillow_vault_2.png
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4. Force Diagram

Command: RV_force

On the right side, the force diagram is created with TextDots marking the angle deviation between the form edge and its 90-degree rotated force edge. In the next step, horizontal equilibrium will be applied to reduce this deviation to zero.

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examples_pillow_vault_3.png
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5. Horizontal Equilibrium

Command: RV_tna_horizontal

Leave default parameters as is to reach the horizontal equilibrium. Since horizontal segments have almost no force, the force diagram collapses to a line.

examples_pillow_vault_4.png
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6. Vertical Equilibrium

Command: RV_tna_vertical > 2

The final geometry is computed by running the vertical equilibrium command, change the height to 2 to match the preview. For preview, we use the following options:RV_settings > Drawing > show_pipes and show_forces.

examples_pillow_vault_5.png
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