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Absolute Nodal Coordinates — RibleANCF ​

RibleANCF is the flexible-body extension package for absolute nodal coordinate formulation support in the Rible ecosystem.

Flexible Beam and Cable ​

The implementation includes the unconstrained reduced-order 3D beam/cable family (ANC3DRURU), with element coordinates laid out as e = [r_i; r_x_i; r_j; r_x_j] and cubic Hermite-like interpolation along the centerline.

Thin-Shell Families ​

RibleANCF supports thin-shell S1 mechanics for both rectangular and triangular topologies:

  • Rectangular Shell (ANC3DRectShell2433): 4-node quadrilateral element with position and two in-surface slope vectors per node.

  • Triangular Shell (ANC3DTriShell2333): 3-node triangular element using a 9-term Pascal-row polynomial basis.

Builtin simple mesh generation is provided for rectangular and triangular patches.

Interoperability and Visualization ​

RibleANCF integrates with the Meshes.jl ecosystem for geometry operations and uses the root Vis recipe system for rendering.

  • Beam Visualization: Renders as a tube around the deformed reference curve.

  • Shell Visualization: Renders as a deformed surface mesh evaluated from the element shape functions.

Both beam and shell bodies can be rendered using the standard vis and vis! commands:

julia
using Rible, RibleANCF, CairoMakie
# ... build ANCF body ...
vis(body)

Coordinate Interface ​

Unlike rigid-body NCF coordinates, the current ANCF implementation has no intrinsic coordinate constraints. It follows the same top-level coordinate-interface contract used by Rible, but the intrinsic constraint methods intentionally degenerate to zero-size or no-op behavior.