Analyses#

Each analysis-type chapter answers the same five questions:

  1. When to use this analysis — what problem class it solves, when to pick it over its siblings.

  2. Boundary conditions and loads — what BCs / load types feed into it, with cross-references to Boundary-condition pitfalls.

  3. The math — one paragraph, with a link to the full theory chapter under Theory.

  4. Running the solve — the high-level Model.*_solve() call and the result object it returns.

  5. Common gotchas + post-processing recipes — links into the focused gallery and the troubleshooting flowchart.

Pick the analysis type that matches your engineering question:

Linear static

\(\mathbf{K}\, \mathbf{u} = \mathbf{f}\) — the workhorse for >80 % of structural design. Snapshot of displacement / stress / reaction under fixed loads.

Linear static analysis
Modal

Natural frequencies and mode shapes. The n_modes for a downstream response-spectrum analysis usually comes from the cumulative effective-mass curve here.

Modal analysis (free vibration)
Harmonic

Steady-state response to sinusoidal forcing across a frequency sweep. FRF curves for vibration-isolation / control-system design land here.

Harmonic / frequency-response analysis
Transient

Time-history response under arbitrary time-varying loads. Newmark-β implicit integrator; modal- superposition variant on the planned roadmap.

Transient (time-history) analysis
Cyclic-symmetry

Modal analysis on N-fold rotationally-symmetric structures (rotors, vaned diffusers). Recovers the full-rotor spectrum at sector cost.

Cyclic-symmetry analysis
Buckling (planned)

Linear bifurcation buckling load multiplier. Not yet shipped — see the page for workarounds today.

Linear buckling analysis