Modal Analysis — natural frequencies and mode shapes L1-213

Structural MechanicsGeneralized eigenvalue for structuresδ=3 · standardL_DAG = 3📋 Stub — not mineable

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Unclaimed Principle — open for contribution

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Forward model E

K p h i_{k} = o m e g a_{k}^{2} M p h i_{k}; m o d a l s u p er p os i t i o n u (t) = k \sum q_{k} (t) p h i_{k}

Modal Analysis — natural frequencies and mode shapes forward model.

L-DAG

L.mass_stiffness -> L.eigenvalue_solve -> L.mode_sort -> int.frequency

L.mass_stiffnessL.eigenvalue_solveL.mode_sortint.frequency

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 240

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: Lanczos, subspace-iter, AMLS
Convergence rate q:: 2
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.