Four analytic reference cases for variable, to-zero, chord-length and taper-to-fit fillets, with the formulas in tools/oracle-analytic.
26 lines
840 B
JSON
26 lines
840 B
JSON
{
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"source": "analytic",
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"method": "plate (top 20 -> 2 wide over x 0..40, 15 high) with its top front edge filleted at 3, fit: taper. The radius is the taper law: a clamped cubic B-spline in u = x/40 on 8 equal spans, control radii min(3, 0.9 room) at the Greville abscissae, room = min(20 - 18u, 15) tan 45 deg (top face width, front face height): 3.0000, 3.0000, 3.0000, 3.0000, 3.0000, 3.0000, 3.0000, 3.0000, 3.0000, 2.4750, 1.8000. Sections are quarter rounds; V, moments and areas integrated along the edge",
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"body_count": 1,
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"volume_mm3": 6525.960225143974,
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"area_mm2": 2415.0715445174765,
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"center_of_mass": [
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14.492429126634498,
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6.796108235394649,
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7.422397574623911
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],
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"bbox": {
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"min": [
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0.0,
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0.0,
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0.0
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],
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"max": [
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40.0,
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20.0,
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15.0
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]
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},
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"faces": 7
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}
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