Structural Vibration Analysis — modal response L1-266

AcousticsVibration modes of linear elastic structuresδ=3 · standardL_DAG = 3📋 Stub — not mineable

📋

Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

Read the contribution guide →Open a claim issue →

Forward model E

M u_{d} d o t + C u_{d} o t + K u = f (t); e i g e n p r o b l e m K P hi = L amb d a M P hi

Structural Vibration Analysis — modal response forward model.

L-DAG

L.fem_assemble -> L.eigenvalue -> L.modal_superposition -> int.frequency

L.fem_assembleL.eigenvalueL.modal_superpositionint.frequency

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 300

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: FEM-Lanczos, Subspace-iter, Operational-Modal
Convergence rate q:: 2
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.