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Documentation/Modules/8.1 Vibration Analysis

8.1 Vibration Analysis

Natural frequency and resonance

Standards catalog

Validation: indicative · Method band: advanced-numerics

Open calculator

Indicative method: Indicative closed-form or numerical model

Assumptions

  • Linear elastic material behavior unless noted otherwise.
  • User is responsible for load combinations and load factors per the selected design code.

Limitations

  • Does not replace a licensed professional engineer or official code compliance review.

Engineering checks

CheckINDUSEUISO
Natural frequencyimplemented———
Excitation separation marginimplemented———

8.1 Vibration Analysis (vibrations)

Purpose: Natural frequencies and mode shapes of prismatic beams.

Method: FEM — Euler–Bernoulli beam eigenproblem; up to 240 segments.

(K - \omega^2 M)\,\phi = 0 $$[^iso-10816-referenced-for-severity-context-indica] **Design codes:** ISO 10816 referenced for severity context; indicative frequency and separation margin. **UI:** Modern `inputs`/`results`; unit profile. Flagship **advanced-numerics** module. **Gaps:** Beam only; no damping or forced response; high refactor risk. --- [^iso-10816-referenced-for-severity-context-indica]: ISO 10816 referenced for severity context; indicative frequency and separation margin.
Maintainer note: Modal/dynamic solver is a flagship advanced-numerics module.