Geometric nonlinearity — Pure Moment Full Loop

Static (geometric NL)PASS · 0%

Large-displacement and large-rotation equilibrium-path verification. Checks: rotation accumulation beyond 2pi and orientation update.

Tolerance:: 5%

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Problem statement

Geometry: Same beam as quarter-circle case; apply M=2199114.85751 N-mm, disable self-contact.
Material: Constitutive or analytical definition: Same constant-curvature circular-arc solution with theta=2pi.
Boundary conditions: Required solver capability: large_rotation_beam_or_shell. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity: theta=2pi, tip returns to the clamp position: x=0, y=0, ux=-1000 mm, uy=0, rotation=6.28318530718 rad.

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=210000 nu=0.3
frame node at=0,0,0
frame node at=100,0,0
frame node at=200,0,0
frame node at=300,0,0
frame node at=400,0,0
frame node at=500,0,0
frame node at=600,0,0
frame node at=700,0,0
frame node at=800,0,0
frame node at=900,0,0
frame node at=1000,0,0
frame member 1 2 section=rect w=20 h=10
frame member 2 3 section=rect w=20 h=10
frame member 3 4 section=rect w=20 h=10
frame member 4 5 section=rect w=20 h=10
frame member 5 6 section=rect w=20 h=10
frame member 6 7 section=rect w=20 h=10
frame member 7 8 section=rect w=20 h=10
frame member 8 9 section=rect w=20 h=10
frame member 9 10 section=rect w=20 h=10
frame member 10 11 section=rect w=20 h=10
frame support node=1 dofs="all"
frame load node=11 moment=0,0,2199114.85751
frame solve static nlgeom=on steps=40 maxiter=50 tol=1e-6

Results comparison

Reference value	ux=-1000.0 mm, uy=0.0 mm, θ=2π rad (полная петля)
Our result	ux=-1000.000 mm, uy=-3.52e-6 mm
Deviation	0%
Tolerance	5%
Status	PASS · 0%
Element family	Beam element
Mesh details	40 эл., чистый изгиб M=2πEI/L; нативный сайдкар webcae_solve

Updated: 2026-10-19 · WebCAE solver