mirror of
https://github.com/bherbruck/solidcraft.git
synced 2026-11-04 11:05:56 +00:00
kernel-cases: sweeps coil and surface cases from #793-#4056
Coils split and trimmed by a plane, cut with a negative pitch, joined flush round a cylinder, intersected with a cylinder, cut as a thread groove into a bore, and placed with a square wire outside the diameter (screw-motion Pappus); surface revolve, sweep and loft sheets with areas worked out by integration, and a rail-guided surface loft in either section order. Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
This commit is contained in:
Brennen Herbruck
+10
@@ -0,0 +1,10 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#1411"
|
||||
],
|
||||
"what": "a 4-turn coil (centre diameter 40, wire 3 mm, pitch 8) intersected with a cylinder of radius 25 and height 40 that holds it (crash report: unclean exit in solid.coil)",
|
||||
"source": "analytic",
|
||||
"method": "the wire (radius 20 +- 1.5, z -1.5..33.5) lies wholly inside the cylinder (r 25, z -2..38), so the intersection is the coil: V = pi 1.5^2 * 2 pi 20 * 4 = 3553.1.",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 3553.057584392169
|
||||
}
|
||||
+30
@@ -0,0 +1,30 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.cylinder",
|
||||
"params": {
|
||||
"radius": 25,
|
||||
"height": 40,
|
||||
"base": [
|
||||
0,
|
||||
0,
|
||||
-2
|
||||
],
|
||||
"axis": "Z",
|
||||
"body_name": "Blank"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.coil",
|
||||
"params": {
|
||||
"diameter": 40,
|
||||
"revolutions": 4,
|
||||
"pitch": 8,
|
||||
"section_size": 3,
|
||||
"section": "circular",
|
||||
"section_position": "center",
|
||||
"operation": "intersect"
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
+10
@@ -0,0 +1,10 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#2552"
|
||||
],
|
||||
"what": "a square-wire coil (diameter 10, section 0.9 inside, pitch 1.5, height 10) cut as a helical groove into the wall of a bore of radius 4.1 in a 30 x 30 x 12 block (crash report: unclean exit in solid.coil)",
|
||||
"source": "analytic",
|
||||
"method": "the coil section is 0.9 x 0.9 with centre radius 5 - 0.45 = 4.55, so it spans r 4.1 to 5.0 (its inner face is the bore wall) and turns 10/1.5 = 6.667 times: V_groove = 0.81 * 2 pi 4.55 * 6.667 = 154.4; V = 30 * 30 * 12 - pi 4.1^2 12 - V_groove = 10011.9. The groove opens into the bore (one body).",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 10011.900066920465
|
||||
}
|
||||
+56
@@ -0,0 +1,56 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.box",
|
||||
"params": {
|
||||
"length": 30,
|
||||
"width": 30,
|
||||
"height": 12,
|
||||
"corner": [
|
||||
-7,
|
||||
-7,
|
||||
-1
|
||||
],
|
||||
"body_name": "Block"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.cylinder",
|
||||
"params": {
|
||||
"radius": 4.1,
|
||||
"height": 12,
|
||||
"base": [
|
||||
8,
|
||||
8,
|
||||
-1
|
||||
],
|
||||
"operation": "cut",
|
||||
"targets": [
|
||||
"Block"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.coil",
|
||||
"params": {
|
||||
"axis": "Z",
|
||||
"base": [
|
||||
8,
|
||||
8,
|
||||
0
|
||||
],
|
||||
"diameter": 10,
|
||||
"height": 10,
|
||||
"pitch": 1.5,
|
||||
"section": "square",
|
||||
"section_position": "inside",
|
||||
"section_size": 0.9,
|
||||
"name": "Helical thread groove",
|
||||
"operation": "cut",
|
||||
"targets": [
|
||||
"Block"
|
||||
]
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,23 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#3088",
|
||||
"tangency-labs/solidcraft#3758"
|
||||
],
|
||||
"what": "a 4-turn square coil (4 mm wire, pitch 9, outer diameter 30.8, section inside) joined round a cylinder of radius 15 and height 40, its ends flush with the cylinder end faces (hang of several minutes, crash report)",
|
||||
"source": "analytic",
|
||||
"method": "the wire is a 4 x 4 square, radial 11.4..15.4, axial +-2 about a path rising from z = 2 to 38, so its end faces touch z = 0 and z = 40. Inside r = 15 it merges with the cylinder; the ridge outside r = 15 is a 0.4 x 4 section at centroid radius 15.2 turned 4 times by the screw: V = pi 15^2 40 + 1.6 * 2 pi 15.2 * 4 = 28885.5. bbox r 15.4, z 0..40.",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 28885.562148990564,
|
||||
"bbox": {
|
||||
"min": [
|
||||
-15.4,
|
||||
-15.4,
|
||||
0
|
||||
],
|
||||
"max": [
|
||||
15.4,
|
||||
15.4,
|
||||
40
|
||||
]
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,41 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.cylinder",
|
||||
"params": {
|
||||
"radius": 15,
|
||||
"height": 40,
|
||||
"base": [
|
||||
0,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"axis": "Z",
|
||||
"body_name": "Body2"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.coil",
|
||||
"params": {
|
||||
"axis": "Z",
|
||||
"base": [
|
||||
0,
|
||||
0,
|
||||
2
|
||||
],
|
||||
"clockwise": true,
|
||||
"diameter": 30.8,
|
||||
"height": 36,
|
||||
"name": "HoseThread",
|
||||
"operation": "join",
|
||||
"pitch": 9,
|
||||
"section": "square",
|
||||
"section_position": "inside",
|
||||
"section_size": 4,
|
||||
"targets": [
|
||||
"Body2"
|
||||
]
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
+11
@@ -0,0 +1,11 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#3832"
|
||||
],
|
||||
"what": "a 7-turn coil (centre diameter 80, wire 1 mm, pitch -2 so it winds downward) cut from a cylinder that holds it entirely (boolean Cut: no result)",
|
||||
"source": "analytic",
|
||||
"method": "cylinder r 45, z -20..20 holds the wire (r 40 +- 0.5, z 0 down to -14) wholly, leaving a helical tunnel sealed inside (a body with an internal void: the expected shell count is 2, which the rig cannot grade, so valid is false): V = pi 45^2 40 - pi 0.5^2 * 2 pi 40 * 7 = 253087.3.",
|
||||
"valid": false,
|
||||
"body_count": 1,
|
||||
"volume_mm3": 253087.26032462073
|
||||
}
|
||||
+35
@@ -0,0 +1,35 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.cylinder",
|
||||
"params": {
|
||||
"radius": 45,
|
||||
"height": 40,
|
||||
"base": [
|
||||
0,
|
||||
0,
|
||||
-20
|
||||
],
|
||||
"axis": "Z",
|
||||
"body_name": "Blank"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.coil",
|
||||
"params": {
|
||||
"diameter": 80,
|
||||
"revolutions": 7,
|
||||
"pitch": -2,
|
||||
"section_size": 1,
|
||||
"section": "circular",
|
||||
"section_position": "center",
|
||||
"base": [
|
||||
0,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"operation": "cut"
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,23 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#3862",
|
||||
"tangency-labs/solidcraft#3915"
|
||||
],
|
||||
"what": "a clockwise 5-turn coil of 4 mm square wire placed outside a 40 mm diameter, pitch 8 (the section, position and direction parameters)",
|
||||
"source": "analytic",
|
||||
"method": "outside puts the wire centre at radius 20 + 2 = 22 (radial 20..24); the 4 x 4 section turned 5 times by the screw: V = 16 * 2 pi 22 * 5 = 11060.6. bbox r 24, z from -2 to 40 + 2.",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 11058.40614063607,
|
||||
"bbox": {
|
||||
"min": [
|
||||
-24,
|
||||
-24,
|
||||
-2
|
||||
],
|
||||
"max": [
|
||||
24,
|
||||
24,
|
||||
42
|
||||
]
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,18 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.coil",
|
||||
"params": {
|
||||
"diameter": 40,
|
||||
"revolutions": 5,
|
||||
"pitch": 8,
|
||||
"section_size": 4,
|
||||
"section": "square",
|
||||
"section_position": "outside",
|
||||
"clockwise": true,
|
||||
"name": "Spring",
|
||||
"operation": "new"
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
+24
@@ -0,0 +1,24 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#4056",
|
||||
"tangency-labs/solidcraft#4080"
|
||||
],
|
||||
"what": "a surface loft between a vertical line on XZ (bow) and a slanted line in the plane x = 100 (stern), bow to stern, guided by a keel rail lying in the bow sketch plane and a sheer rail at z = 20 (refused: \"a guide rail crosses section 2's plane\")",
|
||||
"source": "analytic",
|
||||
"method": "with straight sections and straight rails the surface is the bilinear patch S(t,s) = (100 t, 40 t s, 20 s), which contains both rails (s = 0: keel, s = 1: sheer) and both sections (t = 0, 1); S_t = (100, 40 s, 0), S_s = (0, 40 t, 20), cross = (800 s, -2000, 4000 t); A = double integral of its length = 2995.833 (Gauss-Legendre). One face, open (valid false); bbox 0..100, 0..40, 0..20. The loft is independent of the order of the sections.",
|
||||
"valid": false,
|
||||
"area_mm2": 2995.832811766292,
|
||||
"faces": 1,
|
||||
"bbox": {
|
||||
"min": [
|
||||
0,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"max": [
|
||||
100,
|
||||
40,
|
||||
20
|
||||
]
|
||||
}
|
||||
}
|
||||
+221
@@ -0,0 +1,221 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "sketch.create",
|
||||
"params": {
|
||||
"plane": {
|
||||
"origin": [
|
||||
0.0,
|
||||
0.0,
|
||||
0.0
|
||||
],
|
||||
"x_dir": [
|
||||
1,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"y_dir": [
|
||||
0,
|
||||
0,
|
||||
1
|
||||
]
|
||||
},
|
||||
"name": "Bow"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.line",
|
||||
"params": {
|
||||
"points": [
|
||||
[
|
||||
0,
|
||||
0
|
||||
],
|
||||
[
|
||||
0,
|
||||
20
|
||||
]
|
||||
],
|
||||
"infer": false,
|
||||
"ids": [
|
||||
"b1"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.finish",
|
||||
"params": {}
|
||||
},
|
||||
{
|
||||
"command": "sketch.create",
|
||||
"params": {
|
||||
"plane": {
|
||||
"origin": [
|
||||
100.0,
|
||||
0.0,
|
||||
0.0
|
||||
],
|
||||
"x_dir": [
|
||||
0,
|
||||
1,
|
||||
0
|
||||
],
|
||||
"y_dir": [
|
||||
0,
|
||||
0,
|
||||
1
|
||||
]
|
||||
},
|
||||
"name": "Stern"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.line",
|
||||
"params": {
|
||||
"points": [
|
||||
[
|
||||
0,
|
||||
0
|
||||
],
|
||||
[
|
||||
40,
|
||||
20
|
||||
]
|
||||
],
|
||||
"infer": false,
|
||||
"ids": [
|
||||
"s1"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.finish",
|
||||
"params": {}
|
||||
},
|
||||
{
|
||||
"command": "sketch.create",
|
||||
"params": {
|
||||
"plane": {
|
||||
"origin": [
|
||||
0.0,
|
||||
0.0,
|
||||
0.0
|
||||
],
|
||||
"x_dir": [
|
||||
1,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"y_dir": [
|
||||
0,
|
||||
0,
|
||||
1
|
||||
]
|
||||
},
|
||||
"name": "Keel"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.line",
|
||||
"params": {
|
||||
"points": [
|
||||
[
|
||||
0,
|
||||
0
|
||||
],
|
||||
[
|
||||
100,
|
||||
0
|
||||
]
|
||||
],
|
||||
"infer": false,
|
||||
"ids": [
|
||||
"k1"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.finish",
|
||||
"params": {}
|
||||
},
|
||||
{
|
||||
"command": "sketch.create",
|
||||
"params": {
|
||||
"plane": {
|
||||
"origin": [
|
||||
0.0,
|
||||
0.0,
|
||||
20.0
|
||||
],
|
||||
"x_dir": [
|
||||
1,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"y_dir": [
|
||||
0,
|
||||
1,
|
||||
0
|
||||
]
|
||||
},
|
||||
"name": "Sheer"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.line",
|
||||
"params": {
|
||||
"points": [
|
||||
[
|
||||
0,
|
||||
0
|
||||
],
|
||||
[
|
||||
100,
|
||||
40
|
||||
]
|
||||
],
|
||||
"infer": false,
|
||||
"ids": [
|
||||
"h1"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.finish",
|
||||
"params": {}
|
||||
},
|
||||
{
|
||||
"command": "surface.loft",
|
||||
"params": {
|
||||
"sections": [
|
||||
{
|
||||
"sketch": "Bow",
|
||||
"curves": [
|
||||
"b1"
|
||||
]
|
||||
},
|
||||
{
|
||||
"sketch": "Stern",
|
||||
"curves": [
|
||||
"s1"
|
||||
]
|
||||
}
|
||||
],
|
||||
"rails": [
|
||||
{
|
||||
"sketch": "Keel",
|
||||
"curves": [
|
||||
"k1"
|
||||
]
|
||||
},
|
||||
{
|
||||
"sketch": "Sheer",
|
||||
"curves": [
|
||||
"h1"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
+24
@@ -0,0 +1,24 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#4056",
|
||||
"tangency-labs/solidcraft#4080"
|
||||
],
|
||||
"what": "a surface loft between a vertical line on XZ (bow) and a slanted line in the plane x = 100 (stern), stern to bow, guided by a keel rail lying in the bow sketch plane and a sheer rail at z = 20 (refused: \"a guide rail crosses section 2's plane\")",
|
||||
"source": "analytic",
|
||||
"method": "with straight sections and straight rails the surface is the bilinear patch S(t,s) = (100 t, 40 t s, 20 s), which contains both rails (s = 0: keel, s = 1: sheer) and both sections (t = 0, 1); S_t = (100, 40 s, 0), S_s = (0, 40 t, 20), cross = (800 s, -2000, 4000 t); A = double integral of its length = 2995.833 (Gauss-Legendre). One face, open (valid false); bbox 0..100, 0..40, 0..20. The loft is independent of the order of the sections.",
|
||||
"valid": false,
|
||||
"area_mm2": 2995.832811766292,
|
||||
"faces": 1,
|
||||
"bbox": {
|
||||
"min": [
|
||||
0,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"max": [
|
||||
100,
|
||||
40,
|
||||
20
|
||||
]
|
||||
}
|
||||
}
|
||||
+221
@@ -0,0 +1,221 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "sketch.create",
|
||||
"params": {
|
||||
"plane": {
|
||||
"origin": [
|
||||
0.0,
|
||||
0.0,
|
||||
0.0
|
||||
],
|
||||
"x_dir": [
|
||||
1,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"y_dir": [
|
||||
0,
|
||||
0,
|
||||
1
|
||||
]
|
||||
},
|
||||
"name": "Bow"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.line",
|
||||
"params": {
|
||||
"points": [
|
||||
[
|
||||
0,
|
||||
0
|
||||
],
|
||||
[
|
||||
0,
|
||||
20
|
||||
]
|
||||
],
|
||||
"infer": false,
|
||||
"ids": [
|
||||
"b1"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.finish",
|
||||
"params": {}
|
||||
},
|
||||
{
|
||||
"command": "sketch.create",
|
||||
"params": {
|
||||
"plane": {
|
||||
"origin": [
|
||||
100.0,
|
||||
0.0,
|
||||
0.0
|
||||
],
|
||||
"x_dir": [
|
||||
0,
|
||||
1,
|
||||
0
|
||||
],
|
||||
"y_dir": [
|
||||
0,
|
||||
0,
|
||||
1
|
||||
]
|
||||
},
|
||||
"name": "Stern"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.line",
|
||||
"params": {
|
||||
"points": [
|
||||
[
|
||||
0,
|
||||
0
|
||||
],
|
||||
[
|
||||
40,
|
||||
20
|
||||
]
|
||||
],
|
||||
"infer": false,
|
||||
"ids": [
|
||||
"s1"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.finish",
|
||||
"params": {}
|
||||
},
|
||||
{
|
||||
"command": "sketch.create",
|
||||
"params": {
|
||||
"plane": {
|
||||
"origin": [
|
||||
0.0,
|
||||
0.0,
|
||||
0.0
|
||||
],
|
||||
"x_dir": [
|
||||
1,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"y_dir": [
|
||||
0,
|
||||
0,
|
||||
1
|
||||
]
|
||||
},
|
||||
"name": "Keel"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.line",
|
||||
"params": {
|
||||
"points": [
|
||||
[
|
||||
0,
|
||||
0
|
||||
],
|
||||
[
|
||||
100,
|
||||
0
|
||||
]
|
||||
],
|
||||
"infer": false,
|
||||
"ids": [
|
||||
"k1"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.finish",
|
||||
"params": {}
|
||||
},
|
||||
{
|
||||
"command": "sketch.create",
|
||||
"params": {
|
||||
"plane": {
|
||||
"origin": [
|
||||
0.0,
|
||||
0.0,
|
||||
20.0
|
||||
],
|
||||
"x_dir": [
|
||||
1,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"y_dir": [
|
||||
0,
|
||||
1,
|
||||
0
|
||||
]
|
||||
},
|
||||
"name": "Sheer"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.line",
|
||||
"params": {
|
||||
"points": [
|
||||
[
|
||||
0,
|
||||
0
|
||||
],
|
||||
[
|
||||
100,
|
||||
40
|
||||
]
|
||||
],
|
||||
"infer": false,
|
||||
"ids": [
|
||||
"h1"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.finish",
|
||||
"params": {}
|
||||
},
|
||||
{
|
||||
"command": "surface.loft",
|
||||
"params": {
|
||||
"sections": [
|
||||
{
|
||||
"sketch": "Stern",
|
||||
"curves": [
|
||||
"s1"
|
||||
]
|
||||
},
|
||||
{
|
||||
"sketch": "Bow",
|
||||
"curves": [
|
||||
"b1"
|
||||
]
|
||||
}
|
||||
],
|
||||
"rails": [
|
||||
{
|
||||
"sketch": "Keel",
|
||||
"curves": [
|
||||
"k1"
|
||||
]
|
||||
},
|
||||
{
|
||||
"sketch": "Sheer",
|
||||
"curves": [
|
||||
"h1"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
+24
@@ -0,0 +1,24 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#757",
|
||||
"tangency-labs/solidcraft#847"
|
||||
],
|
||||
"what": "a surface loft between the line (0,0,0)-(10,0,0) and the line (0,0,20)-(10,6,20): a ruled (bilinear) strip",
|
||||
"source": "analytic",
|
||||
"method": "S(u,v) = (1-v)(10u,0,0) + v(10u,6u,20): S_u = (10, 6v, 0), S_v = (0, 6u, 20), S_u x S_v = (120 v, -200, 60 u); A = double integral over the unit square of sqrt(14400 v^2 + 40000 + 3600 u^2) = 214.2336 (Gauss-Legendre, 48 points each way). One face, open (valid false).",
|
||||
"valid": false,
|
||||
"area_mm2": 214.23356244227966,
|
||||
"faces": 1,
|
||||
"bbox": {
|
||||
"min": [
|
||||
0,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"max": [
|
||||
10,
|
||||
6,
|
||||
20
|
||||
]
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,115 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "sketch.create",
|
||||
"params": {
|
||||
"plane": {
|
||||
"origin": [
|
||||
0.0,
|
||||
0.0,
|
||||
0.0
|
||||
],
|
||||
"x_dir": [
|
||||
1,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"y_dir": [
|
||||
0,
|
||||
1,
|
||||
0
|
||||
]
|
||||
},
|
||||
"name": "A"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.line",
|
||||
"params": {
|
||||
"points": [
|
||||
[
|
||||
0,
|
||||
0
|
||||
],
|
||||
[
|
||||
10,
|
||||
0
|
||||
]
|
||||
],
|
||||
"infer": false,
|
||||
"ids": [
|
||||
"c1"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.finish",
|
||||
"params": {}
|
||||
},
|
||||
{
|
||||
"command": "sketch.create",
|
||||
"params": {
|
||||
"plane": {
|
||||
"origin": [
|
||||
0.0,
|
||||
0.0,
|
||||
20.0
|
||||
],
|
||||
"x_dir": [
|
||||
1,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"y_dir": [
|
||||
0,
|
||||
1,
|
||||
0
|
||||
]
|
||||
},
|
||||
"name": "B"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.line",
|
||||
"params": {
|
||||
"points": [
|
||||
[
|
||||
0,
|
||||
0
|
||||
],
|
||||
[
|
||||
10,
|
||||
6
|
||||
]
|
||||
],
|
||||
"infer": false,
|
||||
"ids": [
|
||||
"c2"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.finish",
|
||||
"params": {}
|
||||
},
|
||||
{
|
||||
"command": "surface.loft",
|
||||
"params": {
|
||||
"sections": [
|
||||
{
|
||||
"sketch": "A",
|
||||
"curves": [
|
||||
"c1"
|
||||
]
|
||||
},
|
||||
{
|
||||
"sketch": "B",
|
||||
"curves": [
|
||||
"c2"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,24 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#757",
|
||||
"tangency-labs/solidcraft#824"
|
||||
],
|
||||
"what": "a line from (5,0) to (10,20) revolved a full turn into a surface body (a cone frustum wall, no caps)",
|
||||
"source": "analytic",
|
||||
"method": "lateral area of a frustum: pi (r1 + r2) slant = pi 15 sqrt(5^2 + 20^2) = 971.48; one conical face; open at both ends, so not a solid (valid false); bbox r 10, z 0..20.",
|
||||
"valid": false,
|
||||
"area_mm2": 971.4838757561392,
|
||||
"faces": 1,
|
||||
"bbox": {
|
||||
"min": [
|
||||
-10,
|
||||
-10,
|
||||
0
|
||||
],
|
||||
"max": [
|
||||
10,
|
||||
10,
|
||||
20
|
||||
]
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,60 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "sketch.create",
|
||||
"params": {
|
||||
"plane": {
|
||||
"origin": [
|
||||
0.0,
|
||||
0.0,
|
||||
0.0
|
||||
],
|
||||
"x_dir": [
|
||||
1,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"y_dir": [
|
||||
0,
|
||||
0,
|
||||
1
|
||||
]
|
||||
},
|
||||
"name": "P"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.line",
|
||||
"params": {
|
||||
"points": [
|
||||
[
|
||||
5,
|
||||
0
|
||||
],
|
||||
[
|
||||
10,
|
||||
20
|
||||
]
|
||||
],
|
||||
"infer": false,
|
||||
"ids": [
|
||||
"l1"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.finish",
|
||||
"params": {}
|
||||
},
|
||||
{
|
||||
"command": "surface.revolve",
|
||||
"params": {
|
||||
"curves": [
|
||||
"l1"
|
||||
],
|
||||
"axis": "y",
|
||||
"angle": "360 deg"
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
+24
@@ -0,0 +1,24 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#757",
|
||||
"tangency-labs/solidcraft#843"
|
||||
],
|
||||
"what": "a slanted line (from (20,0,0) to (30,0,10)) swept as a surface round a quarter circle of radius 20 about Z",
|
||||
"source": "analytic",
|
||||
"method": "the profile lies in a plane through the Z axis and the path is a circle about that axis, so the sheet is a quarter of a cone frustum wall: A = (1/4) pi (r1 + r2) slant = (1/4) pi 50 sqrt(200) = 555.4; one face; open (valid false); bbox x, y 0..30, z 0..10.",
|
||||
"valid": false,
|
||||
"area_mm2": 555.3603672697958,
|
||||
"faces": 1,
|
||||
"bbox": {
|
||||
"min": [
|
||||
0,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"max": [
|
||||
30,
|
||||
30,
|
||||
10
|
||||
]
|
||||
}
|
||||
}
|
||||
+107
@@ -0,0 +1,107 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "sketch.create",
|
||||
"params": {
|
||||
"plane": {
|
||||
"origin": [
|
||||
0.0,
|
||||
0.0,
|
||||
0.0
|
||||
],
|
||||
"x_dir": [
|
||||
1,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"y_dir": [
|
||||
0,
|
||||
1,
|
||||
0
|
||||
]
|
||||
},
|
||||
"name": "Path"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.arc.center_point",
|
||||
"params": {
|
||||
"center": [
|
||||
0,
|
||||
0
|
||||
],
|
||||
"start": [
|
||||
20,
|
||||
0
|
||||
],
|
||||
"end": [
|
||||
0,
|
||||
20
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.finish",
|
||||
"params": {}
|
||||
},
|
||||
{
|
||||
"command": "sketch.create",
|
||||
"params": {
|
||||
"plane": {
|
||||
"origin": [
|
||||
0.0,
|
||||
0.0,
|
||||
0.0
|
||||
],
|
||||
"x_dir": [
|
||||
1,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"y_dir": [
|
||||
0,
|
||||
0,
|
||||
1
|
||||
]
|
||||
},
|
||||
"name": "Sec"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.line",
|
||||
"params": {
|
||||
"points": [
|
||||
[
|
||||
20,
|
||||
0
|
||||
],
|
||||
[
|
||||
30,
|
||||
10
|
||||
]
|
||||
],
|
||||
"infer": false,
|
||||
"ids": [
|
||||
"c1"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "sketch.finish",
|
||||
"params": {}
|
||||
},
|
||||
{
|
||||
"command": "surface.sweep",
|
||||
"params": {
|
||||
"sketch": "Sec",
|
||||
"curves": [
|
||||
"c1"
|
||||
],
|
||||
"path_sketch": "Path",
|
||||
"path": [
|
||||
"a1"
|
||||
]
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,10 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#793"
|
||||
],
|
||||
"what": "the same coil trimmed flat by cutting away everything above z = 12.5 with a box (trimming a coil to length)",
|
||||
"source": "analytic",
|
||||
"method": "a disc of radius 1 whose centre rises with the screw (z0 = 4 theta / 2 pi) keeps the part below z = 12.5, symmetric about its vertical diameter, so its centroid stays at radius R = 20: V = R (2 pi / p) integral over z0 in [0,24] of Ak(12.5 - z0) dz0 with Ak(h) = rs^2 (t sqrt(1-t^2) + asin t + pi/2), t = h/rs, clamped to 0 below -rs and pi rs^2 above rs: V = 1234.893 (Gauss-Legendre).",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 1234.8927457642485
|
||||
}
|
||||
@@ -0,0 +1,46 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.coil",
|
||||
"params": {
|
||||
"diameter": 40,
|
||||
"revolutions": 6,
|
||||
"pitch": 4.0,
|
||||
"section_size": 2.0,
|
||||
"section": "circular",
|
||||
"section_position": "center",
|
||||
"base": [
|
||||
0,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"operation": "new",
|
||||
"body_name": "Spring"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.box",
|
||||
"params": {
|
||||
"length": 60,
|
||||
"width": 60,
|
||||
"height": 20,
|
||||
"corner": [
|
||||
-30,
|
||||
-30,
|
||||
12.5
|
||||
],
|
||||
"body_name": "Above"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.combine",
|
||||
"params": {
|
||||
"target": "Spring",
|
||||
"tools": [
|
||||
"Above"
|
||||
],
|
||||
"operation": "cut"
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,22 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#793"
|
||||
],
|
||||
"what": "a 6-turn coil (centre diameter 40, wire 2 mm, pitch 4) split by the plane z = 12.5 square to its axis (\"boolean Intersect: no result\")",
|
||||
"source": "analytic",
|
||||
"method": "the wire is a circle of radius 1 turned by a screw motion about Z (section in a plane through the axis): V = pi r^2 * 2 pi R * N = pi * 2 pi 20 * 6 = 2368.7. Splitting does not change the total, the plane cuts the helix obliquely and each half stays one connected spiral: two bodies whose volumes add up to the coil.",
|
||||
"body_count": 2,
|
||||
"volume_mm3": 2368.705056261446,
|
||||
"bbox": {
|
||||
"min": [
|
||||
-21,
|
||||
-21,
|
||||
-1
|
||||
],
|
||||
"max": [
|
||||
21,
|
||||
21,
|
||||
25
|
||||
]
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,40 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.coil",
|
||||
"params": {
|
||||
"diameter": 40,
|
||||
"revolutions": 6,
|
||||
"pitch": 4.0,
|
||||
"section_size": 2.0,
|
||||
"section": "circular",
|
||||
"section_position": "center",
|
||||
"base": [
|
||||
0,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"operation": "new",
|
||||
"body_name": "Spring"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.split_body",
|
||||
"params": {
|
||||
"body": "Spring",
|
||||
"plane": {
|
||||
"origin": [
|
||||
0,
|
||||
0,
|
||||
12.5
|
||||
],
|
||||
"normal": [
|
||||
0,
|
||||
0,
|
||||
1
|
||||
]
|
||||
}
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
Reference in New Issue
Block a user