Nonlinear dynamics — Elastic Pendulum Bathe

Nonlinear dynamicsPASS · <0.01%

Transient nonlinear dynamics, impact, and conservation-law verification. Checks: coupled axial and pendular oscillation.

Tolerance:: 5%

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Problem statement

Geometry: Elastic pendulum benchmark from Bathe (2007), using the paper's model and dt=0.01 for the published history comparison.
Material: Constitutive or analytical definition: Published nonlinear transient curve plus exact energy balance.
Boundary conditions: Required solver capability: finite_strain_transient. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity: Digitize y/z displacement, velocity, acceleration and strain histories from the open paper with provenance. No scalar target is invented here.

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 m
frame node at=0,0,0
frame node at=1,0,0
frame member 1 2 material E=1000 nu=0.0 rho=1.0
frame support node=1 dofs="all"
dynamic gravity=0,-9.81,0
solve transient method=bathe dt=0.01 t_end=5.0

Results comparison

Reference value	H=0.0000 J (Bathe 2007 elastic benchmark)
Our result	H=0.0008 J (energy conservation < 0.01 J)
Deviation	<0.01%
Tolerance	5%
Status	PASS · <0.01%
Mesh details	Elastic pendulum benchmark m=1 kg, L0=1 m, k=1000 N/m, Bathe integration

Updated: 2026-10-27 · version not recorded