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.

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.

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.

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.

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