forked from 1b-agent/fieldcraft-upstream
jyvikoandClaude Opus 5.5
6d9452ad84
The oracle binary (modelcraft-testkit) runs each case's recipe through the command engine, measures its quantities by JSON pointers into step outputs or commands, compares them with the cited references and the frozen fixtures, and writes docs/oracle.md. 20 theory cases (patch tests of every solid element, Timoshenko cantilevers, Lame, Kirsch, beam frequencies, torsion and bending through couplings, explicit waves and impact, CDT invariants), 8 published benchmarks (MacNeal-Harder patch, straight and curved cantilevers, thick cylinder, Scordelis-Lo with solids, NAFEMS LE1, LE10, FV32) and 10 pending cases with citations. Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
47 lines
1.3 KiB
JSON
47 lines
1.3 KiB
JSON
{
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"title": "Natural frequencies of a cantilever (Euler–Bernoulli)",
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"kind": "theory",
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"source": "Euler–Bernoulli beam: f_n = (β_n L)²/(2π L²)·√(EI/ρA), β₁L = 1.8751, β₂L = 4.6941; Timoshenko, Young and Weaver, Vibration Problems in Engineering, 4th ed., Wiley 1974, §5.3",
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"quantities": [
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{
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"id": "f1",
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"quantity": "first bending frequency (modes 1 and 2 are the y and z pair)",
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"measure": {
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"from": "modes",
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"pointer": "/modes/0/frequency"
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},
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"value": 0.012770863695053732,
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"tolerance": {
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"relative": 0.01
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},
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"reason": "Euler–Bernoulli neglects shear and rotary inertia, which lower f1 by about 0.2% at L/h = 20"
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},
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{
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"id": "f1_pair",
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"quantity": "the other first bending frequency",
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"measure": {
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"from": "modes",
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"pointer": "/modes/1/frequency"
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},
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"value": 0.012770863695053732,
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"tolerance": {
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"relative": 0.01
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},
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"reason": "as f1: a square section bends alike in y and z"
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},
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{
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"id": "f2",
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"quantity": "second bending frequency",
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"measure": {
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"from": "modes",
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"pointer": "/modes/2/frequency"
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},
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"value": 0.08003363662360005,
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"tolerance": {
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"relative": 0.02
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},
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"reason": "shear and rotary inertia lower the second mode by about 1% at L/h = 20 (Timoshenko)"
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}
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]
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}
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