test: reference cases for variable, chord-length and tapered fillets (#776)
Four analytic reference cases for variable, to-zero, chord-length and taper-to-fit fillets, with the formulas in tools/oracle-analytic.
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@@ -0,0 +1,25 @@
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{
|
||||
"source": "analytic",
|
||||
"method": "box 40x30x20 with its top front edge (y=0, z=20) rounded at a radius running straight from 2 (x=0) to 5 (x=40): sections are quarter rounds, V = abc - (1 - pi/4) L (a^2 + ab + b^2) / 3; moments and the round's area integrated along the edge (tools/oracle-analytic/cases_fillets.py)",
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"faces": 7
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@@ -0,0 +1,186 @@
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{
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||||
"id": "77-fillet-variable-linear",
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"name": "Variable fillet, linear radius",
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"description": "40x30x20 box, the top front edge rounded with a radius running linearly from 2 mm (x = 0) to 5 mm (x = 40).",
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"exercises": [
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"extrude",
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"fillet",
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"variable radius"
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],
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"units": {
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"length": "mm",
|
||||
"angle": "deg",
|
||||
"area": "mm2",
|
||||
"volume": "mm3"
|
||||
},
|
||||
"conventions": {
|
||||
"world": "right-handed; Z up. XY/XZ/YZ are the origin planes.",
|
||||
"sketch_frame": "sketch-local 2D coords; world = plane.origin + x*plane.x_dir + y*plane.y_dir (origin in mm). Profile 'loops' list sketch entity ids.",
|
||||
"point_refs": "'<id>.start' / '<id>.end' / '<id>.center' reuse (share) that existing sketch point; 'at' is its position when referenced.",
|
||||
"extrude_direction": "positive = along sketch plane normal unless stated",
|
||||
"selections": "selected faces/edges carry 'point': a world-space point on the face / the edge's parametric midpoint; pick the nearest face/edge to it."
|
||||
},
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"parameters": [],
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"dimensions": []
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},
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{
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"op": "extrude",
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"name": "Extrude1",
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"operation": "new",
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{
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"sketch": "Extrude1_sketch",
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{
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"outer": true,
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"l1",
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"l2",
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"l3",
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"l4"
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"distance": 20,
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"direction": "positive"
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"result_bodies": [
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"Part"
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]
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},
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{
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"op": "fillet",
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"name": "Fillet1",
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"type": "variable_radius",
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"radius": 2.0,
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"radius2": 5.0,
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"start": [
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0.0,
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0.0,
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20.0
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"edges": [
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"point": [
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}
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@@ -0,0 +1,25 @@
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{
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"source": "analytic",
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"method": "as 77 with the radius running from 4 (x=0) down to 0 (x=40), where the round closes to the corner: V = abc - (1 - pi/4) L a^2 / 3; the round is three-sided and the corner at x=40 stays",
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||||
"body_count": 1,
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||||
"volume_mm3": 23954.21827485812,
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"area_mm2": 5162.286695397177,
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"center_of_mass": [
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20.019112176659895,
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15.027387550737057,
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9.98216853759289
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30.0,
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20.0
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]
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},
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"faces": 7
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}
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@@ -0,0 +1,186 @@
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{
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"id": "78-fillet-variable-to-zero",
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"name": "Variable fillet closing at a corner",
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"description": "40x30x20 box, the top front edge rounded with a radius running linearly from 4 mm (x = 0) down to 0 at x = 40, where the round closes to the corner.",
|
||||
"exercises": [
|
||||
"extrude",
|
||||
"fillet",
|
||||
"variable radius"
|
||||
],
|
||||
"units": {
|
||||
"length": "mm",
|
||||
"angle": "deg",
|
||||
"area": "mm2",
|
||||
"volume": "mm3"
|
||||
},
|
||||
"conventions": {
|
||||
"world": "right-handed; Z up. XY/XZ/YZ are the origin planes.",
|
||||
"sketch_frame": "sketch-local 2D coords; world = plane.origin + x*plane.x_dir + y*plane.y_dir (origin in mm). Profile 'loops' list sketch entity ids.",
|
||||
"point_refs": "'<id>.start' / '<id>.end' / '<id>.center' reuse (share) that existing sketch point; 'at' is its position when referenced.",
|
||||
"extrude_direction": "positive = along sketch plane normal unless stated",
|
||||
"selections": "selected faces/edges carry 'point': a world-space point on the face / the edge's parametric midpoint; pick the nearest face/edge to it."
|
||||
},
|
||||
"parameters": [],
|
||||
"features": [
|
||||
{
|
||||
"op": "sketch",
|
||||
"name": "Extrude1_sketch",
|
||||
"plane": {
|
||||
"ref": "XY",
|
||||
"origin": [
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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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"x_dir": [
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1.0,
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0.0,
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0.0
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],
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"y_dir": [
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],
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"normal": [
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"entities": [
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{
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"type": "line",
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"start": {
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"at": [
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0,
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0
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]
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},
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"end": {
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||||
"at": [
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||||
40,
|
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0
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||||
]
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||||
},
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"id": "l1"
|
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},
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{
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"type": "line",
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"start": {
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"ref": "l1.end",
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"at": [
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40.0,
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0.0
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]
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},
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"end": {
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"at": [
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40,
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30
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]
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},
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"id": "l2"
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},
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||||
{
|
||||
"type": "line",
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"start": {
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"ref": "l2.end",
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"at": [
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40.0,
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30.0
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]
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},
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"end": {
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"at": [
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30
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]
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},
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"id": "l3"
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},
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{
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"type": "line",
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"start": {
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"ref": "l3.end",
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"at": [
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0.0,
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30.0
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]
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},
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"end": {
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"ref": "l1.start",
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"at": [
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0.0,
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0.0
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||||
]
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},
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||||
"id": "l4"
|
||||
}
|
||||
],
|
||||
"constraints": [],
|
||||
"dimensions": []
|
||||
},
|
||||
{
|
||||
"op": "extrude",
|
||||
"name": "Extrude1",
|
||||
"operation": "new",
|
||||
"profiles": [
|
||||
{
|
||||
"sketch": "Extrude1_sketch",
|
||||
"loops": [
|
||||
{
|
||||
"outer": true,
|
||||
"curves": [
|
||||
"l1",
|
||||
"l2",
|
||||
"l3",
|
||||
"l4"
|
||||
]
|
||||
}
|
||||
]
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||||
}
|
||||
],
|
||||
"extent": {
|
||||
"type": "distance",
|
||||
"distance": 20,
|
||||
"direction": "positive"
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||||
},
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"result_bodies": [
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"Part"
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||||
]
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},
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||||
{
|
||||
"op": "fillet",
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||||
"name": "Fillet1",
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"type": "variable_radius",
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"radius": 4.0,
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"radius2": 0.0,
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"end": [
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||||
}
|
||||
@@ -0,0 +1,25 @@
|
||||
{
|
||||
"source": "analytic",
|
||||
"method": "box 40x30x20, top front edge rounded 4 wide across (chord c): r = c / (2 cos 45 deg) = 2 sqrt 2; V = abc - (1 - pi/4) r^2 L, A = 2(ab + bc + ca) - 2 r L + (pi/2) r L - 2 (1 - pi/4) r^2",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 23931.327412287184,
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||||
"area_mm2": 5148.007518160999,
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||||
"center_of_mass": [
|
||||
20.0,
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||||
15.041230594339089,
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||||
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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": [
|
||||
40.0,
|
||||
30.0,
|
||||
20.0
|
||||
]
|
||||
},
|
||||
"faces": 7
|
||||
}
|
||||
@@ -0,0 +1,180 @@
|
||||
{
|
||||
"id": "79-fillet-chord-length",
|
||||
"name": "Chord-length fillet",
|
||||
"description": "40x30x20 box, the top front edge rounded so the round is 4 mm wide across (chord length).",
|
||||
"exercises": [
|
||||
"extrude",
|
||||
"fillet",
|
||||
"chord length"
|
||||
],
|
||||
"units": {
|
||||
"length": "mm",
|
||||
"angle": "deg",
|
||||
"area": "mm2",
|
||||
"volume": "mm3"
|
||||
},
|
||||
"conventions": {
|
||||
"world": "right-handed; Z up. XY/XZ/YZ are the origin planes.",
|
||||
"sketch_frame": "sketch-local 2D coords; world = plane.origin + x*plane.x_dir + y*plane.y_dir (origin in mm). Profile 'loops' list sketch entity ids.",
|
||||
"point_refs": "'<id>.start' / '<id>.end' / '<id>.center' reuse (share) that existing sketch point; 'at' is its position when referenced.",
|
||||
"extrude_direction": "positive = along sketch plane normal unless stated",
|
||||
"selections": "selected faces/edges carry 'point': a world-space point on the face / the edge's parametric midpoint; pick the nearest face/edge to it."
|
||||
},
|
||||
"parameters": [],
|
||||
"features": [
|
||||
{
|
||||
"op": "sketch",
|
||||
"name": "Extrude1_sketch",
|
||||
"plane": {
|
||||
"ref": "XY",
|
||||
"origin": [
|
||||
0.0,
|
||||
0.0,
|
||||
0.0
|
||||
],
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"x_dir": [
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||||
1.0,
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0.0,
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||||
0.0
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],
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"y_dir": [
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],
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"normal": [
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||||
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]
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"entities": [
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{
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"type": "line",
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"start": {
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||||
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"end": {
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"at": [
|
||||
40,
|
||||
0
|
||||
]
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||||
},
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||||
"id": "l1"
|
||||
},
|
||||
{
|
||||
"type": "line",
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"ref": "l1.end",
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||||
"id": "l2"
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||||
},
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||||
{
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||||
"type": "line",
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|
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30
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]
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"id": "l3"
|
||||
},
|
||||
{
|
||||
"type": "line",
|
||||
"start": {
|
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"ref": "l3.end",
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||||
"at": [
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||||
0.0,
|
||||
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]
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||||
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||||
"end": {
|
||||
"ref": "l1.start",
|
||||
"at": [
|
||||
0.0,
|
||||
0.0
|
||||
]
|
||||
},
|
||||
"id": "l4"
|
||||
}
|
||||
],
|
||||
"constraints": [],
|
||||
"dimensions": []
|
||||
},
|
||||
{
|
||||
"op": "extrude",
|
||||
"name": "Extrude1",
|
||||
"operation": "new",
|
||||
"profiles": [
|
||||
{
|
||||
"sketch": "Extrude1_sketch",
|
||||
"loops": [
|
||||
{
|
||||
"outer": true,
|
||||
"curves": [
|
||||
"l1",
|
||||
"l2",
|
||||
"l3",
|
||||
"l4"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
],
|
||||
"extent": {
|
||||
"type": "distance",
|
||||
"distance": 20,
|
||||
"direction": "positive"
|
||||
},
|
||||
"result_bodies": [
|
||||
"Part"
|
||||
]
|
||||
},
|
||||
{
|
||||
"op": "fillet",
|
||||
"name": "Fillet1",
|
||||
"type": "chord_length",
|
||||
"radius": 4.0,
|
||||
"edges": [
|
||||
{
|
||||
"type": "line",
|
||||
"start": [
|
||||
0.0,
|
||||
0.0,
|
||||
20.0
|
||||
],
|
||||
"end": [
|
||||
40.0,
|
||||
0.0,
|
||||
20.0
|
||||
],
|
||||
"point": [
|
||||
20.0,
|
||||
0.0,
|
||||
20.0
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,25 @@
|
||||
{
|
||||
"source": "analytic",
|
||||
"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",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 6525.960225143974,
|
||||
"area_mm2": 2415.0715445174765,
|
||||
"center_of_mass": [
|
||||
14.492429126634498,
|
||||
6.796108235394649,
|
||||
7.422397574623911
|
||||
],
|
||||
"bbox": {
|
||||
"min": [
|
||||
0.0,
|
||||
0.0,
|
||||
0.0
|
||||
],
|
||||
"max": [
|
||||
40.0,
|
||||
20.0,
|
||||
15.0
|
||||
]
|
||||
},
|
||||
"faces": 7
|
||||
}
|
||||
@@ -0,0 +1,180 @@
|
||||
{
|
||||
"id": "80-fillet-taper-to-fit",
|
||||
"name": "Fillet tapered to the room along its edge",
|
||||
"description": "Plate whose top narrows from 20 mm (x = 0) to 2 mm (x = 40), 15 high; its top front edge filleted at 3 mm with fit: taper, the radius following the room where 3 doesn't fit.",
|
||||
"exercises": [
|
||||
"extrude",
|
||||
"fillet",
|
||||
"fit taper"
|
||||
],
|
||||
"units": {
|
||||
"length": "mm",
|
||||
"angle": "deg",
|
||||
"area": "mm2",
|
||||
"volume": "mm3"
|
||||
},
|
||||
"conventions": {
|
||||
"world": "right-handed; Z up. XY/XZ/YZ are the origin planes.",
|
||||
"sketch_frame": "sketch-local 2D coords; world = plane.origin + x*plane.x_dir + y*plane.y_dir (origin in mm). Profile 'loops' list sketch entity ids.",
|
||||
"point_refs": "'<id>.start' / '<id>.end' / '<id>.center' reuse (share) that existing sketch point; 'at' is its position when referenced.",
|
||||
"extrude_direction": "positive = along sketch plane normal unless stated",
|
||||
"selections": "selected faces/edges carry 'point': a world-space point on the face / the edge's parametric midpoint; pick the nearest face/edge to it."
|
||||
},
|
||||
"parameters": [],
|
||||
"features": [
|
||||
{
|
||||
"op": "sketch",
|
||||
"name": "Extrude1_sketch",
|
||||
"plane": {
|
||||
"ref": "XY",
|
||||
"origin": [
|
||||
0.0,
|
||||
0.0,
|
||||
0.0
|
||||
],
|
||||
"x_dir": [
|
||||
1.0,
|
||||
0.0,
|
||||
0.0
|
||||
],
|
||||
"y_dir": [
|
||||
0.0,
|
||||
1.0,
|
||||
0.0
|
||||
],
|
||||
"normal": [
|
||||
0.0,
|
||||
0.0,
|
||||
1.0
|
||||
]
|
||||
},
|
||||
"entities": [
|
||||
{
|
||||
"type": "line",
|
||||
"start": {
|
||||
"at": [
|
||||
0,
|
||||
0
|
||||
]
|
||||
},
|
||||
"end": {
|
||||
"at": [
|
||||
40,
|
||||
0
|
||||
]
|
||||
},
|
||||
"id": "l1"
|
||||
},
|
||||
{
|
||||
"type": "line",
|
||||
"start": {
|
||||
"ref": "l1.end",
|
||||
"at": [
|
||||
40.0,
|
||||
0.0
|
||||
]
|
||||
},
|
||||
"end": {
|
||||
"at": [
|
||||
40,
|
||||
2
|
||||
]
|
||||
},
|
||||
"id": "l2"
|
||||
},
|
||||
{
|
||||
"type": "line",
|
||||
"start": {
|
||||
"ref": "l2.end",
|
||||
"at": [
|
||||
40.0,
|
||||
2.0
|
||||
]
|
||||
},
|
||||
"end": {
|
||||
"at": [
|
||||
0,
|
||||
20
|
||||
]
|
||||
},
|
||||
"id": "l3"
|
||||
},
|
||||
{
|
||||
"type": "line",
|
||||
"start": {
|
||||
"ref": "l3.end",
|
||||
"at": [
|
||||
0.0,
|
||||
20.0
|
||||
]
|
||||
},
|
||||
"end": {
|
||||
"ref": "l1.start",
|
||||
"at": [
|
||||
0.0,
|
||||
0.0
|
||||
]
|
||||
},
|
||||
"id": "l4"
|
||||
}
|
||||
],
|
||||
"constraints": [],
|
||||
"dimensions": []
|
||||
},
|
||||
{
|
||||
"op": "extrude",
|
||||
"name": "Extrude1",
|
||||
"operation": "new",
|
||||
"profiles": [
|
||||
{
|
||||
"sketch": "Extrude1_sketch",
|
||||
"loops": [
|
||||
{
|
||||
"outer": true,
|
||||
"curves": [
|
||||
"l1",
|
||||
"l2",
|
||||
"l3",
|
||||
"l4"
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
],
|
||||
"extent": {
|
||||
"type": "distance",
|
||||
"distance": 15,
|
||||
"direction": "positive"
|
||||
},
|
||||
"result_bodies": [
|
||||
"Part"
|
||||
]
|
||||
},
|
||||
{
|
||||
"op": "fillet",
|
||||
"name": "Fillet1",
|
||||
"radius": 3.0,
|
||||
"fit": "taper",
|
||||
"edges": [
|
||||
{
|
||||
"type": "line",
|
||||
"start": [
|
||||
0.0,
|
||||
0.0,
|
||||
15.0
|
||||
],
|
||||
"end": [
|
||||
40.0,
|
||||
0.0,
|
||||
15.0
|
||||
],
|
||||
"point": [
|
||||
20.0,
|
||||
0.0,
|
||||
15.0
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
]
|
||||
}
|
||||
Reference in new issue
Block a user