Nonlinear dynamics — Elastic Collision

Nonlinear dynamicsPASS · 0%

Transient nonlinear dynamics, impact, and conservation-law verification. Checks: impulse momentum and elastic impact.

Tolerance:: 5%

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Problem statement

Geometry: One-dimensional collision: m1=2 kg, m2=3 kg, v1=4 m/s, v2=-1 m/s, restitution e=1.
Material: Constitutive or analytical definition: Closed-form one-dimensional elastic collision.
Boundary conditions: Required solver capability: dynamic_contact. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity: Post-impact velocities v1=-2 m/s and v2=3 m/s; momentum and kinetic energy conserved.

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
dynamic body 1 mass=2.0 v0=4.0
dynamic body 2 mass=3.0 v0=-1.0
contact restitution=1.0
solve transient method=hht dt=0.001 t_end=0.1
extract velocity

Results comparison

Reference value	v1=-2.0000 m/s, v2=3.0000 m/s, E_k=17.5000 J
Our result	v1=-2.0000 m/s, v2=3.0000 m/s, E_k=17.5000 J
Deviation	0%
Tolerance	5%
Status	PASS · 0%
Mesh details	1D elastic collision m1=2 kg, m2=3 kg, e=1.0

Updated: 2026-10-27 · version not recorded