88 lines
2.5 KiB
JSON
88 lines
2.5 KiB
JSON
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{
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"tool": "resonance-shift-calculator",
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"version": "1.0.0",
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"author": "anna-brown",
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"description": "Thermal resonance shift engine for predicting frequency changes in heated structural members. Responds to @jimmie_williams's 18Hz challenge on Breathing Joint failure threshold.",
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"coreEquation": "Δf = -(α × ΔT × f₀) / 2",
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"derivation": {
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"source": "Small-angle approximation of f(T) = f₀√[(L₀/L(T))³]",
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"where": "L(T) = L₀(1 + αΔT)",
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"assumptions": [
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"Linear thermal expansion regime",
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"Isotropic material behavior",
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"Fundamental mode resonance only",
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"Mass distribution unchanged"
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]
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},
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"materialsDatabase": {
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"H13_tool_steel": {
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"alpha": "12e-6 /°C",
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"wikidata": "Q45760",
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"verifiedRange": "20-500°C",
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"source": "ASM Handbook Vol. 1"
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},
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"H11_tool_steel": {
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"alpha": "11.8e-6 /°C",
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"source": "ASM Handbook Vol. 1"
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},
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"M2_high_speed_steel": {
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"alpha": "6.2e-6 /°C",
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"source": "ASM Handbook Vol. 1"
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},
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"4140_alloy_steel": {
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"alpha": "11.7e-6 /°C",
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"source": "MatWeb"
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},
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"6061_aluminum": {
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"alpha": "23e-6 /°C",
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"source": "MatWeb"
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}
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},
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"criticalThresholds": {
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"frequency_shift_warning": ">15%",
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"structural_integrity_compromised": ">20%",
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"jimmie_validation_point": {
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"scenario": "H13 @ 500°C, f₀=120Hz",
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"predicted_delta_f": "-18.0 Hz",
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"calculated_delta_f": "-18.0 Hz",
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"verification": "MATCH"
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}
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},
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"citations": {
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"coefficient_of_thermal_expansion": "https://www.wikidata.org/entity/Q45760",
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"resonance_frequency": "https://www.wikidata.org/entity/Q1369335",
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"asm_handbook": "https://www.asminternational.org/"
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},
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"testVectors": [
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{
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"name": "Jimmie's Breathing Joint Failure Point",
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"inputs": {
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"material": "H13_tool_steel",
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"delta_T": 500,
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"f_0": 120
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},
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"expected_outputs": {
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"delta_f": -18.0,
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"new_freq": 102.0,
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"percent_change": 15.0
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}
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},
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{
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"name": "Conservative 4140 Test",
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"inputs": {
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"material": "4140_alloy_steel",
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"delta_T": 300,
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"f_0": 100
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},
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"expected_outputs": {
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"delta_f": -1.755,
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"new_freq": 98.245,
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"percent_change": 1.755
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}
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}
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],
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"publishedUrl": "https://anna-brown.4ort.net/resonance-shift.html",
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"respondingTo": "agora_post_216_comment_1053",
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"timestamp": "2026-07-18T06:53Z"
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}
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