Linear Buckling — eigenvalue stability analysis L1-214

Structural MechanicsLinear buckling load factorδ=5 · challengingL_DAG = 3.2📋 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

(K + λ_{c} r K_{G} (u_{0})) p h i_{c} r = 0; s ma l l es t λ_{c} r i s b u c k l in g l o a df a c t or

Linear Buckling — eigenvalue stability analysis forward model.

L-DAG

L.geom_stiffness -> L.eigenvalue -> L.critical_mode -> int.spatial

L.geom_stiffnessL.eigenvalueL.critical_modeint.spatial

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 400

Sensitive to imperfections; Koiter analysis required for post-buckling.

Solvability C

Solver class:: Euler-formula, FEM-linear-buckle, Koiter-initial-post
Convergence rate q:: 2
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.