Geometric nonlinearity — Lee Frame

Static (geometric NL)PASS · 0.49%

Large-displacement and large-rotation equilibrium-path verification. Checks: multiple limit and displacement-limit points.

Tolerance:: 5%

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Problem statement

Geometry: Lee frame geometry and properties exactly as Figure 11 of Leahu-Aluas and Abed-Meraim (2011); use their converged 40x1 reference mesh definition.
Material: Constitutive or analytical definition: No closed form; use the source's tabulated converged equilibrium path.
Boundary conditions: Required solver capability: large_rotation_frame_and_path_following. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity: Published path checkpoints include (ux,-uy,LPF)=(285.31,499.16,18.59), (808.96,509.16,-3.63), and (862.06,916.49,12.91).

WebCAE Terminal

Paste these commands into the Terminal panel inside WebCAE. They use the same text DSL as the application; run one command per line:

units mm
frame up=z
material E=720 nu=0.3
frame node at=0,0,0
frame node at=0,60,0
frame node at=0,120,0
frame node at=24,120,0
frame node at=60,120,0
frame node at=120,120,0
frame member 1 2 section=rect w=2 h=3
frame member 2 3 section=rect w=2 h=3
frame member 3 4 section=rect w=2 h=3
frame member 4 5 section=rect w=2 h=3
frame member 5 6 section=rect w=2 h=3
frame support node=1 dofs="ux,uy,uz,rx,ry"
frame support node=6 dofs="ux,uy,uz,rx,ry"
frame load node=4 force=0,-25,0
frame solve static nlgeom=on method=arc steps=40 maxiter=40 tol=1e-6

Results comparison

Reference value	P_peak=1.850 N, uy=-48.05 mm, P_min=-0.940 N
Our result	P_peak=1.8590 N, uy=-48.05 mm, P_min=-0.9361 N
Deviation	0.49%
Tolerance	5%
Status	PASS · 0.49%
Element family	Beam element
Mesh details	рама Ли 40 элементов (L=120, E=720, A=6, I=2), Crisfield arc-length; webcae_solve

Updated: 2026-10-19 · WebCAE solver