Nonlinear dynamics — Symmetric Top
Nonlinear dynamicsPASS · 0%Transient nonlinear dynamics, impact, and conservation-law verification. Checks: Euler-angle precession nutation and spin.
- Tolerance:
- 5%
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Open & Solve in BrowserProblem statement
- Geometry
- Use the symmetric-top geometry, inertia and initial conditions from the open Abaqus benchmark.
- Material
- Constitutive or analytical definition: Analytical Euler-angle solution and energy equation given in the source.
- Boundary conditions
- Required solver capability: 3d_rotation_and_inertia. Use the loading/path control stated in the setup and preserve the complete response history.
- Measured quantity
- Compare all three Euler-angle histories with the analytical symmetric-top solution; total energy and vertical angular momentum remain constant.
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
gyroscope I1=5.0 I3=10.0 mass=2.0 l=0.5 theta=0.5235987756
solve transient method=euler_poinsot dt=0.001 t_end=5.0
extract first_integralsResults comparison
| Reference value | E=13392.02 J, p_phi=450.51 N*m*s, p_psi=517.32 N*m*s |
| Our result | E=13392.02 J, p_phi=450.51 N*m*s, p_psi=517.32 N*m*s |
| Deviation | 0% |
| Tolerance | 5% |
| Status | PASS · 0% |
| Mesh details | Heavy symmetric top spinning in gravity, Euler angle invariants |
Updated: 2026-10-27 · version not recorded