forked from 1b-agent/fieldcraft-upstream
verification: activate the two shell benchmark cases (#106)
The Scordelis-Lo roof and the pinched cylinder had their published references cited but no recipe, because mesh.block's 2D form is planar and cannot build a curved patch. Both are now active: the mesh is written node by node (mesh.node.add / mesh.element.add, the route docs/verification.md allows), the same cylinder patch the solver's own benchmarks.rs builds in code, with the quarter/eighth symmetry planes, the rigid diaphragm and the published load. - scordelis-lo-roof-shell: 16x16 flat quad4 (MITC4) shells, R = 25, t = 0.25, self-weight 90 per area; u_z at the free-edge mid-span -0.3024 within 2% (ours -0.29901009815961804, 1.12% low). - pinched-cylinder: 32x32 flat quad4 shells, R = 300, t = 3, a quarter of the unit pinch; u under the load -1.8248e-5 within 2% (ours -1.803845342860719e-05, 1.15% low). Each README carries the generator (so the recipe is reproducible), the refinement study the tolerance reason cites, and how the reference was cited before. pinched-hemisphere and mh-twisted-beam now say what they actually wait for: a doubly curved or helical shell mesh written node by node, not missing shell elements.
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@@ -3,7 +3,7 @@
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"kind": "benchmark",
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"source": "MacNeal and Harder, 'A proposed standard set of problems to test finite element accuracy', Finite Elements in Analysis and Design 1 (1985) 3–20, Fig. 6 (p. 8), Table 3 (p. 10)",
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"status": "pending",
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"requires": "shell elements (M8) or mapped blocks with helical edges",
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"requires": "a helical shell mesh: mesh.block's 2D form is planar and takes z = 0, so the twisted strip must be written node by node (as scordelis-lo-roof-shell and pinched-cylinder are), or mapped blocks must gain helical edges",
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"quantities": [
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{
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"id": "in_plane",
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@@ -1,3 +1,115 @@
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# Pinched cylinder with rigid diaphragms
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Radius 300, length 600, thickness 3, E = 3 × 10⁶, ν = 0.3, rigid end diaphragms, two opposite unit loads at mid-length.
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Our model of the published problem: a cylinder of radius 300, length 600 and thickness 3,
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E = 3 × 10⁶, ν = 0.3, capped by rigid diaphragms (u_y = u_z = rot_x = 0 at the ends) and pinched by
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two opposite unit forces at mid-length, one on each of two diametrically opposite generators.
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Reference: 1.8248 × 10⁻⁵ radial displacement under the load (Belytschko, Stolarski, Liu, Carpenter
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and Ong, *Stress projection for membrane and shear locking in shell finite elements*, CMAME 51
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(1985) 221–258, the shell obstacle course) — the value the case already cited.
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The eighth model: x from the loaded section (x = 0, symmetry in x) to the diaphragm (x = 300), φ
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from the loaded generator (φ = 0, symmetry in y) to the side (φ = 90°, symmetry in z), with
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R sin φ = y and R cos φ = z on the mid-surface R = 300. A quarter of the unit force, −0.25 in z,
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acts on the single loaded node (0, 0, 300) — the model the solver's own pinched-cylinder benchmark
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builds in code.
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## The mesh
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`mesh.block`'s 2D form takes its four corners at z = 0, so it cannot mesh a patch on a cylindrical
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surface (it can be curved in its own plane, but it is planar): the recipe writes the 1089 nodes and
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1024 quad4 elements one by one with `mesh.node.add` and `mesh.element.add`, the route
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[docs/verification.md](../../../docs/verification.md) allows ("nodes and elements written one
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by one"). Node 1 + i + 33 j lies at
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(300 i/32, 300 sin(90° j/32), 300 cos(90° j/32)); element 1 + i + 32 j is
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[node(i, j), node(i + 1, j), node(i + 1, j + 1), node(i, j + 1)], counter-clockwise seen from
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outside, so its normal points away from the axis — the same mesh the solver's own pinched-cylinder
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benchmark builds in code
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([crates/solver/tests/benchmarks.rs](../../../crates/solver/tests/benchmarks.rs)).
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The recipe was generated with the same script as `scordelis-lo-roof-shell`
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(`python3 cylinder_recipe.py pinched-cylinder 32`):
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```python
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import json, math
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def pinched_cylinder(n):
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label = lambda i, j: 1 + i + (n + 1) * j
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commands = []
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for j in range(n + 1):
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for i in range(n + 1):
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x, phi = 300.0 * i / n, (math.pi / 2) * j / n
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commands.append({"command": "mesh.node.add",
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"params": {"label": label(i, j),
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"xyz": [x, 300.0 * math.sin(phi), 300.0 * math.cos(phi)]}})
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for j in range(n):
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for i in range(n):
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nodes = [label(i, j), label(i + 1, j), label(i + 1, j + 1), label(i, j + 1)]
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commands.append({"command": "mesh.element.add",
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"params": {"label": 1 + i + n * j, "kind": "quad4", "nodes": nodes}})
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return commands + [
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{"command": "model.set.create", "params": {"name": "shell", "elements": list(range(1, n * n + 1))}},
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{"command": "model.set.create", "params": {"name": "diaphragm", "nodes": [label(n, j) for j in range(n + 1)]}},
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{"command": "model.set.create", "params": {"name": "middle", "nodes": [label(0, j) for j in range(n + 1)]}},
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{"command": "model.set.create", "params": {"name": "top", "nodes": [label(i, 0) for i in range(n + 1)]}},
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{"command": "model.set.create", "params": {"name": "side", "nodes": [label(i, n) for i in range(n + 1)]}},
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{"command": "model.set.create", "params": {"name": "pinch", "nodes": [label(0, 0)]}},
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{"command": "model.material.create", "params": {"name": "Mat", "elastic": {"type": "isotropic", "young": 3e6, "poisson": 0.3}}},
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{"command": "model.section.create", "params": {"name": "shell", "set": "shell", "material": "Mat", "kind": {"type": "shell", "thickness": 3.0}}},
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{"command": "model.boundary_condition.create", "params": {"name": "diaphragm", "type": "displacement", "target": {"set": "diaphragm"}, "values": [None, 0, 0, 0, None, None]}},
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{"command": "model.boundary_condition.create", "params": {"name": "middle", "type": "symmetry", "target": {"set": "middle"}, "plane": "x"}},
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{"command": "model.boundary_condition.create", "params": {"name": "top", "type": "symmetry", "target": {"set": "top"}, "plane": "y"}},
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{"command": "model.boundary_condition.create", "params": {"name": "side", "type": "symmetry", "target": {"set": "side"}, "plane": "z"}},
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{"command": "model.load.create", "params": {"name": "pinch", "type": "force", "target": {"set": "pinch"}, "vector": [0, 0, -0.25]}},
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{"command": "model.step.create", "params": {"name": "Load", "procedure": {"type": "static"}, "boundary_conditions": ["diaphragm", "middle", "top", "side"], "loads": ["pinch"]}},
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{"command": "solve.static", "params": {}, "id": "solve"},
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]
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print("[\n " + ",\n ".join(json.dumps(c) for c in pinched_cylinder(32)) + "\n]")
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```
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## A fixed-mesh benchmark, not a convergence study
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The quantity is the deflection *under a point load*, and there a Reissner–Mindlin (MITC4) shell
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carries an unbounded transverse shear force: the deflection under the load keeps growing with
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refinement instead of converging. The published 1.8248 × 10⁻⁵ is a thin-shell value, and this case
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compares against it on the conventional 32 × 32 eighth mesh — the mesh the solver's own
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pinched-cylinder benchmark uses — not as a limit. The table shows what refinement actually does
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(each row is the listing above with the `32` in its last line replaced by the row's divisions and
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run through `cargo xtask oracle` as a scratch case):
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| cells | u | vs reference |
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|---|---|---|
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| 8 × 8 | −1.3559 × 10⁻⁵ | −25.7% |
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| 16 × 16 | −1.6942 × 10⁻⁵ | −7.2% |
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| 24 × 24 | −1.7735 × 10⁻⁵ | −2.8% |
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| 32 × 32 (this case) | −1.803845342860719 × 10⁻⁵ | −1.15% |
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| 48 × 48 | −1.8275 × 10⁻⁵ | +0.15% |
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| 64 × 64 | −1.8369 × 10⁻⁵ | +0.66% |
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The sequence rises through the reference between 32 × 32 and 48 × 48 and keeps rising at the two
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finer meshes, which is what a shear-deformable shell under a point load must do.
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The solver's in-code benchmark of the same problem shows the same ascent on its 8 × 8, 16 × 16 and
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32 × 32 eighth meshes (it gates 32 × 32 within 2%), so the command route and the in-code route
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agree on the fixed-mesh comparison.
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## Tolerance
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2% covers the agreement with the thin-shell reference at the 32 × 32 eighth mesh (1.15% low), the
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conventional mesh of the shell obstacle course and the one the solver's own pinched-cylinder
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benchmark gates at 2%, so the command route and the in-code route are compared on equal terms. The
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reference itself is quoted by Belytschko et al. to four figures (1.8248 × 10⁻⁵). Because the point
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load makes the deflection mesh-dependent rather than convergent (above), this is a fixed-mesh
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tolerance and not a convergence statement: the two finer meshes sit 0.15% and 0.66% above the
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reference and stay inside it. The mesh is not marked `slow`: the case solves in about 0.15 s.
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`fixture.json` is the accepted value at 32 × 32 (−1.803845342860719 × 10⁻⁵) with the runner's
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default band: the mesh is written by the recipe, not generated from geometry, so it is bit-identical
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on every platform and the result is frozen.
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## Running it
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```sh
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cargo xtask oracle --case pinched-cylinder
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cargo xtask oracle --bless pinched-cylinder # only after the case passes
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```
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@@ -2,13 +2,29 @@
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"title": "Pinched cylinder with rigid diaphragms",
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"kind": "benchmark",
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"source": "Belytschko, Stolarski, Liu, Carpenter and Ong, 'Stress projection for membrane and shear locking in shell finite elements', Computer Methods in Applied Mechanics and Engineering 51 (1985) 221–258 (the shell obstacle course); reference 1.8248 × 10⁻⁵ under the load",
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"status": "pending",
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"requires": "shell elements (M8)",
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"quantities": [
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{
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"id": "u",
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"quantity": "radial displacement under the load",
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"value": -1.8248e-05
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"quantity": "radial displacement under the load, mid-surface",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Load",
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"at": [
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[
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0,
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0,
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300
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]
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]
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},
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"pointer": "/nodes/0/displacement/2"
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},
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"value": -1.8248e-05,
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"tolerance": {
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"relative": 0.02
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},
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"reason": "a fixed-mesh comparison at the conventional 32 × 32 eighth mesh, the mesh the solver's own in-code benchmark uses: the reference is the thin-shell value Belytschko et al. quote to four figures (1.8248 × 10⁻⁵), while the deflection under a point load has no mesh-converged limit in a Reissner–Mindlin (MITC4) shell, whose transverse shear force is unbounded at the load, so the value keeps rising with refinement (8 × 8, 16 × 16, 24 × 24, 32 × 32, 48 × 48 and 64 × 64 give 1.3559, 1.6942, 1.7735, 1.8038, 1.8275 and 1.8369 × 10⁻⁵, crossing the reference between 32 × 32 and 48 × 48 and staying above it); 2% is the margin the in-code benchmark gates 32 × 32 with, applied here to the same mesh (crates/solver/tests/benchmarks.rs, README)"
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}
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]
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}
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@@ -0,0 +1,9 @@
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{
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"note": "FieldCraft's accepted results for this case, written by `cargo xtask oracle --bless`. A result outside its band fails CI.",
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"values": {
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"u": {
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"band": 1.8247999999999998e-14,
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"value": -0.00001803845342860719
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}
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}
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}
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File diff suppressed because it is too large.
Load diff
@@ -3,7 +3,7 @@
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"kind": "benchmark",
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"source": "MacNeal and Harder, 'A proposed standard set of problems to test finite element accuracy', Finite Elements in Analysis and Design 1 (1985) 3–20, Fig. 9 (p. 9), Table 5(b) (p. 11): 0.0940 (lower bound 0.0924 from their [7])",
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"status": "pending",
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"requires": "shell elements (M8), or mapped blocks that follow doubly curved faces",
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"requires": "a doubly curved shell mesh: mesh.block's 2D form is planar and takes z = 0, so the quarter hemisphere with its 18° polar hole must be written node by node (as scordelis-lo-roof-shell and pinched-cylinder are), or a new patch command must mesh a doubly curved face",
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"quantities": [
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{
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"id": "u",
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@@ -1,3 +1,105 @@
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# Scordelis–Lo roof with shell elements
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The roof of `scordelis-lo-roof-solid` meshed with shells.
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Our model of the published problem: a cylindrical roof of radius 25, length 50 and thickness 0.25,
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spanning ±40°, E = 4.32 × 10⁸, ν = 0, carrying its own weight (90 per area, a body force 90/t = 360
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per volume), supported by rigid diaphragms at its curved ends and free along its straight edges.
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This is `scordelis-lo-roof-solid` with flat quad4 (MITC4) shells in place of the hex20 layer, so the
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same reference is checked by two element routes; the reference value, 0.3024 for the vertical
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deflection at the middle of a free edge, is the one the case already cited (MacNeal and Harder,
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*A proposed standard set of problems to test finite element accuracy*, FEAD 1 (1985) 3–20, Fig. 8,
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Table 5(a); Belytschko et al., CMAME 51 (1985) 221–258).
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The quarter model: x from the mid-span (x = 0, symmetry in x) to the diaphragm (x = 25,
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u_y = u_z = rot_x = 0), φ from the crown (φ = 0, symmetry in y) to the free edge at 40°, with
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R sin φ = y and R cos φ = z on the mid-surface R = 25. The measured node is the free-edge mid-span
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node (0, 16.0697, 19.1511), the node the solid case measures too.
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## The mesh
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`mesh.block`'s 2D form takes its four corners at z = 0, so it cannot mesh a patch on a cylindrical
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surface (it can be curved in its own plane, but it is planar): the recipe writes the 289 nodes and
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256 quad4 elements one by one with `mesh.node.add` and `mesh.element.add`, the route
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[docs/verification.md](../../../docs/verification.md) allows ("nodes and elements written one
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by one"). Node 1 + i + 17 j lies at
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(25 i/16, 25 sin(40° j/16), 25 cos(40° j/16)); element 1 + i + 16 j is
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[node(i, j), node(i + 1, j), node(i + 1, j + 1), node(i, j + 1)], counter-clockwise seen from
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outside, so its normal points away from the axis — the same mesh the solver's own Scordelis–Lo
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benchmark builds in code
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([crates/solver/tests/benchmarks.rs](../../../crates/solver/tests/benchmarks.rs)), so the command
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route and the in-code route are comparable.
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The recipe was generated with this script (`python3 cylinder_recipe.py scordelis-lo 16`):
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```python
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import json, math
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def scordelis_lo(n):
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label = lambda i, j: 1 + i + (n + 1) * j
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commands = []
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for j in range(n + 1):
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for i in range(n + 1):
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x, phi = 25.0 * i / n, math.radians(40.0) * j / n
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commands.append({"command": "mesh.node.add",
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"params": {"label": label(i, j),
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"xyz": [x, 25.0 * math.sin(phi), 25.0 * math.cos(phi)]}})
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for j in range(n):
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for i in range(n):
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nodes = [label(i, j), label(i + 1, j), label(i + 1, j + 1), label(i, j + 1)]
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commands.append({"command": "mesh.element.add",
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"params": {"label": 1 + i + n * j, "kind": "quad4", "nodes": nodes}})
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return commands + [
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{"command": "model.set.create", "params": {"name": "shell", "elements": list(range(1, n * n + 1))}},
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{"command": "model.set.create", "params": {"name": "diaphragm", "nodes": [label(n, j) for j in range(n + 1)]}},
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{"command": "model.set.create", "params": {"name": "midspan", "nodes": [label(0, j) for j in range(n + 1)]}},
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{"command": "model.set.create", "params": {"name": "crown", "nodes": [label(i, 0) for i in range(n + 1)]}},
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{"command": "model.material.create", "params": {"name": "Mat", "elastic": {"type": "isotropic", "young": 4.32e8, "poisson": 0.0}}},
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{"command": "model.section.create", "params": {"name": "shell", "set": "shell", "material": "Mat", "kind": {"type": "shell", "thickness": 0.25}}},
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{"command": "model.boundary_condition.create", "params": {"name": "diaphragm", "type": "displacement", "target": {"set": "diaphragm"}, "values": [None, 0, 0, 0, None, None]}},
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{"command": "model.boundary_condition.create", "params": {"name": "midspan", "type": "symmetry", "target": {"set": "midspan"}, "plane": "x"}},
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{"command": "model.boundary_condition.create", "params": {"name": "crown", "type": "symmetry", "target": {"set": "crown"}, "plane": "y"}},
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{"command": "model.load.create", "params": {"name": "weight", "type": "body_force", "set": "shell", "vector": [0, 0, -360.0]}},
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{"command": "model.step.create", "params": {"name": "Load", "procedure": {"type": "static"}, "boundary_conditions": ["diaphragm", "midspan", "crown"], "loads": ["weight"]}},
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{"command": "solve.static", "params": {}, "id": "solve"},
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]
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print("[\n " + ",\n ".join(json.dumps(c) for c in scordelis_lo(16)) + "\n]")
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```
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## Refinement
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The flat MITC4 shell approaches the reference from below and keeps closing the gap, so the mesh
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error is inside the tolerance and shrinking. Every row is the listing above with the `16` in its
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last line replaced by the row's divisions and run through `cargo xtask oracle` as a scratch case;
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the case mesh is 16 × 16:
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| cells | u_z | error |
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|---|---|---|
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| 4 × 4 | −0.28459 | −5.89% |
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| 8 × 8 | −0.29401 | −2.77% |
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| 16 × 16 (this case) | −0.29901009815961804 | −1.12% |
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| 32 × 32 | −0.30060 | −0.60% |
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| 64 × 64 | −0.30118 | −0.40% |
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| 128 × 128 | −0.30143 | −0.32% |
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The solid case of the same roof reports −0.3014 on its 16 × 16 × 1 hex20 mesh, i.e. 0.33% low: two
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element formulations, two meshes, one reference.
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## Tolerance
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2%, the grading the sibling solid case already records for this problem from MacNeal and Harder (an
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element is graded within 2% of the theoretical value on a prescribed coarse mesh, and their
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normalised target is 0.3024). 16 × 16 is our choice of mesh — the one the solver's in-code gate test
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uses — and it is 1.12% low; its own next refinement (32 × 32) moves the value by 0.53% of the
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reference, a quarter of the tolerance, on a mesh error that falls monotonically. The tolerance is
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the source's grading, not a cover for the discretisation error.
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|
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`fixture.json` is the accepted value at 16 × 16 (−0.29901009815961804) with the runner's default
|
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band: the mesh is written by the recipe, not generated from geometry, so it is bit-identical on
|
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every platform and the result is frozen.
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## Running it
|
||||
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```sh
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cargo xtask oracle --case scordelis-lo-roof-shell
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cargo xtask oracle --bless scordelis-lo-roof-shell # only after the case passes
|
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```
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@@ -2,13 +2,29 @@
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"title": "Scordelis–Lo roof with shell elements",
|
||||
"kind": "benchmark",
|
||||
"source": "MacNeal and Harder, 'A proposed standard set of problems to test finite element accuracy', Finite Elements in Analysis and Design 1 (1985) 3–20, Fig. 8 (p. 8), Table 5(a) (p. 11); Belytschko, Stolarski, Liu, Carpenter and Ong, 'Stress projection for membrane and shear locking in shell finite elements', Computer Methods in Applied Mechanics and Engineering 51 (1985) 221–258 (the shell obstacle course)",
|
||||
"status": "pending",
|
||||
"requires": "shell elements (MITC4, M8)",
|
||||
"quantities": [
|
||||
{
|
||||
"id": "uz",
|
||||
"quantity": "vertical displacement at the midpoint of the free edge",
|
||||
"value": -0.3024
|
||||
"quantity": "vertical displacement at the midpoint of the free edge, mid-surface",
|
||||
"measure": {
|
||||
"command": "solve.probe",
|
||||
"params": {
|
||||
"step": "Load",
|
||||
"at": [
|
||||
[
|
||||
0,
|
||||
16.069690242163,
|
||||
19.151111077974
|
||||
]
|
||||
]
|
||||
},
|
||||
"pointer": "/nodes/0/displacement/2"
|
||||
},
|
||||
"value": -0.3024,
|
||||
"tolerance": {
|
||||
"relative": 0.02
|
||||
},
|
||||
"reason": "MacNeal and Harder grade a thin-shell element within 2% of the theoretical value on a prescribed coarse mesh, the grading the sibling case scordelis-lo-roof-solid records (p. 14); this case uses 16 × 16, the mesh the solver's in-code gate test uses, and the flat MITC4 shell converges from below to the reference: 4 × 4, 8 × 8, 16 × 16, 32 × 32, 64 × 64 and 128 × 128 give 0.28459, 0.29401, 0.29901, 0.30060, 0.30118 and 0.30143, so 16 × 16 is 1.12% low and the mesh error shrinks monotonically inside the tolerance (README)"
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,9 @@
|
||||
{
|
||||
"note": "FieldCraft's accepted results for this case, written by `cargo xtask oracle --bless`. A result outside its band fails CI.",
|
||||
"values": {
|
||||
"uz": {
|
||||
"band": 3.024e-10,
|
||||
"value": -0.29901009815961804
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,559 @@
|
||||
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{"command": "mesh.element.add", "params": {"label": 168, "kind": "quad4", "nodes": [178, 179, 196, 195]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 169, "kind": "quad4", "nodes": [179, 180, 197, 196]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 170, "kind": "quad4", "nodes": [180, 181, 198, 197]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 171, "kind": "quad4", "nodes": [181, 182, 199, 198]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 172, "kind": "quad4", "nodes": [182, 183, 200, 199]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 173, "kind": "quad4", "nodes": [183, 184, 201, 200]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 174, "kind": "quad4", "nodes": [184, 185, 202, 201]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 175, "kind": "quad4", "nodes": [185, 186, 203, 202]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 176, "kind": "quad4", "nodes": [186, 187, 204, 203]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 177, "kind": "quad4", "nodes": [188, 189, 206, 205]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 178, "kind": "quad4", "nodes": [189, 190, 207, 206]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 179, "kind": "quad4", "nodes": [190, 191, 208, 207]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 180, "kind": "quad4", "nodes": [191, 192, 209, 208]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 181, "kind": "quad4", "nodes": [192, 193, 210, 209]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 182, "kind": "quad4", "nodes": [193, 194, 211, 210]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 183, "kind": "quad4", "nodes": [194, 195, 212, 211]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 184, "kind": "quad4", "nodes": [195, 196, 213, 212]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 185, "kind": "quad4", "nodes": [196, 197, 214, 213]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 186, "kind": "quad4", "nodes": [197, 198, 215, 214]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 187, "kind": "quad4", "nodes": [198, 199, 216, 215]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 188, "kind": "quad4", "nodes": [199, 200, 217, 216]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 189, "kind": "quad4", "nodes": [200, 201, 218, 217]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 190, "kind": "quad4", "nodes": [201, 202, 219, 218]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 191, "kind": "quad4", "nodes": [202, 203, 220, 219]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 192, "kind": "quad4", "nodes": [203, 204, 221, 220]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 193, "kind": "quad4", "nodes": [205, 206, 223, 222]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 194, "kind": "quad4", "nodes": [206, 207, 224, 223]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 195, "kind": "quad4", "nodes": [207, 208, 225, 224]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 196, "kind": "quad4", "nodes": [208, 209, 226, 225]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 197, "kind": "quad4", "nodes": [209, 210, 227, 226]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 198, "kind": "quad4", "nodes": [210, 211, 228, 227]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 199, "kind": "quad4", "nodes": [211, 212, 229, 228]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 200, "kind": "quad4", "nodes": [212, 213, 230, 229]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 201, "kind": "quad4", "nodes": [213, 214, 231, 230]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 202, "kind": "quad4", "nodes": [214, 215, 232, 231]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 203, "kind": "quad4", "nodes": [215, 216, 233, 232]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 204, "kind": "quad4", "nodes": [216, 217, 234, 233]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 205, "kind": "quad4", "nodes": [217, 218, 235, 234]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 206, "kind": "quad4", "nodes": [218, 219, 236, 235]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 207, "kind": "quad4", "nodes": [219, 220, 237, 236]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 208, "kind": "quad4", "nodes": [220, 221, 238, 237]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 209, "kind": "quad4", "nodes": [222, 223, 240, 239]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 210, "kind": "quad4", "nodes": [223, 224, 241, 240]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 211, "kind": "quad4", "nodes": [224, 225, 242, 241]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 212, "kind": "quad4", "nodes": [225, 226, 243, 242]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 213, "kind": "quad4", "nodes": [226, 227, 244, 243]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 214, "kind": "quad4", "nodes": [227, 228, 245, 244]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 215, "kind": "quad4", "nodes": [228, 229, 246, 245]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 216, "kind": "quad4", "nodes": [229, 230, 247, 246]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 217, "kind": "quad4", "nodes": [230, 231, 248, 247]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 218, "kind": "quad4", "nodes": [231, 232, 249, 248]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 219, "kind": "quad4", "nodes": [232, 233, 250, 249]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 220, "kind": "quad4", "nodes": [233, 234, 251, 250]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 221, "kind": "quad4", "nodes": [234, 235, 252, 251]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 222, "kind": "quad4", "nodes": [235, 236, 253, 252]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 223, "kind": "quad4", "nodes": [236, 237, 254, 253]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 224, "kind": "quad4", "nodes": [237, 238, 255, 254]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 225, "kind": "quad4", "nodes": [239, 240, 257, 256]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 226, "kind": "quad4", "nodes": [240, 241, 258, 257]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 227, "kind": "quad4", "nodes": [241, 242, 259, 258]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 228, "kind": "quad4", "nodes": [242, 243, 260, 259]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 229, "kind": "quad4", "nodes": [243, 244, 261, 260]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 230, "kind": "quad4", "nodes": [244, 245, 262, 261]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 231, "kind": "quad4", "nodes": [245, 246, 263, 262]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 232, "kind": "quad4", "nodes": [246, 247, 264, 263]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 233, "kind": "quad4", "nodes": [247, 248, 265, 264]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 234, "kind": "quad4", "nodes": [248, 249, 266, 265]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 235, "kind": "quad4", "nodes": [249, 250, 267, 266]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 236, "kind": "quad4", "nodes": [250, 251, 268, 267]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 237, "kind": "quad4", "nodes": [251, 252, 269, 268]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 238, "kind": "quad4", "nodes": [252, 253, 270, 269]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 239, "kind": "quad4", "nodes": [253, 254, 271, 270]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 240, "kind": "quad4", "nodes": [254, 255, 272, 271]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 241, "kind": "quad4", "nodes": [256, 257, 274, 273]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 242, "kind": "quad4", "nodes": [257, 258, 275, 274]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 243, "kind": "quad4", "nodes": [258, 259, 276, 275]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 244, "kind": "quad4", "nodes": [259, 260, 277, 276]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 245, "kind": "quad4", "nodes": [260, 261, 278, 277]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 246, "kind": "quad4", "nodes": [261, 262, 279, 278]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 247, "kind": "quad4", "nodes": [262, 263, 280, 279]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 248, "kind": "quad4", "nodes": [263, 264, 281, 280]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 249, "kind": "quad4", "nodes": [264, 265, 282, 281]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 250, "kind": "quad4", "nodes": [265, 266, 283, 282]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 251, "kind": "quad4", "nodes": [266, 267, 284, 283]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 252, "kind": "quad4", "nodes": [267, 268, 285, 284]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 253, "kind": "quad4", "nodes": [268, 269, 286, 285]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 254, "kind": "quad4", "nodes": [269, 270, 287, 286]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 255, "kind": "quad4", "nodes": [270, 271, 288, 287]}},
|
||||
{"command": "mesh.element.add", "params": {"label": 256, "kind": "quad4", "nodes": [271, 272, 289, 288]}},
|
||||
{"command": "model.set.create", "params": {"name": "shell", "elements": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256]}},
|
||||
{"command": "model.set.create", "params": {"name": "diaphragm", "nodes": [17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289]}},
|
||||
{"command": "model.set.create", "params": {"name": "midspan", "nodes": [1, 18, 35, 52, 69, 86, 103, 120, 137, 154, 171, 188, 205, 222, 239, 256, 273]}},
|
||||
{"command": "model.set.create", "params": {"name": "crown", "nodes": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]}},
|
||||
{"command": "model.material.create", "params": {"name": "Mat", "elastic": {"type": "isotropic", "young": 432000000.0, "poisson": 0.0}}},
|
||||
{"command": "model.section.create", "params": {"name": "shell", "set": "shell", "material": "Mat", "kind": {"type": "shell", "thickness": 0.25}}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "diaphragm", "type": "displacement", "target": {"set": "diaphragm"}, "values": [null, 0, 0, 0, null, null]}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "midspan", "type": "symmetry", "target": {"set": "midspan"}, "plane": "x"}},
|
||||
{"command": "model.boundary_condition.create", "params": {"name": "crown", "type": "symmetry", "target": {"set": "crown"}, "plane": "y"}},
|
||||
{"command": "model.load.create", "params": {"name": "weight", "type": "body_force", "set": "shell", "vector": [0, 0, -360.0]}},
|
||||
{"command": "model.step.create", "params": {"name": "Load", "procedure": {"type": "static"}, "boundary_conditions": ["diaphragm", "midspan", "crown"], "loads": ["weight"]}},
|
||||
{"command": "solve.static", "params": {}, "id": "solve"}
|
||||
]
|
||||
Reference in new issue
Block a user