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Nonlinear dynamics — Restitution Impact

Nonlinear dynamicsPASS · 0%

Transient nonlinear dynamics, impact, and conservation-law verification. Checks: coefficient of restitution and impulse sign.

Tolerance:
5%
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Problem statement

Geometry
One-dimensional impact: m1=m2=1 kg, v1=2 m/s, v2=0, restitution e=0.8.
Material
Constitutive or analytical definition: Momentum conservation plus v2'-v1'=e(v1-v2).
Boundary conditions
Required solver capability: dynamic_contact_restitution. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity
Post-impact velocities v1=0.2 m/s and v2=1.8 m/s; relative separation speed is 1.6 m/s.

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=1.0 v0=2.0
dynamic body 2 mass=1.0 v0=0.0
contact restitution=0.8
solve transient method=hht dt=0.001 t_end=0.05
extract post_impact_state

Results comparison

Reference valuev1=0.2000 m/s, v2=1.8000 m/s, v_rel=1.6000 m/s
Our resultv1=0.2000 m/s, v2=1.8000 m/s, v_rel=1.6000 m/s
Deviation0%
Tolerance5%
StatusPASS · 0%
Mesh details1D impact m1=m2=1 kg, v1=2 m/s, e=0.8

Updated: 2026-10-27 · version not recorded

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