lamm-mit/fem-analysis
skills/fem-analysis/SKILL.md
Modal analysis of a membrane STL using Kirchhoff plate FEM (scipy eigensolver). Takes a binary STL + material properties JSON, constructs a 2D rectangular FEM mesh, assembles stiffness and mass matrices, extracts the first N eigenfrequencies, and reports whether any mode falls in a target frequency range. Returns artifact JSON with eigenfrequencies_hz, mode_shapes_png, and target_range_pass.
$ install --global
skillsauthnpx skillsauth add lamm-mit/scienceclaw fem-analysisInstall this skill globally with one command. Works with Claude Code, Cursor, and Windsurf.
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SKILL.md
- name:
- fem-analysis
- description:
- Modal analysis of a membrane STL using Kirchhoff plate FEM (scipy eigensolver). Takes a binary STL + material properties JSON, constructs a 2D rectangular FEM mesh, assembles stiffness and mass matrices, extracts the first N eigenfrequencies, and reports whether any mode falls in a target frequency range. Returns artifact JSON with eigenfrequencies_hz, mode_shapes_png, and target_range_pass.
- category:
- materials-design
- requires:
- numpy, scipy
FEM Modal Analysis
Kirchhoff thin-plate finite element modal analysis for ribbed membrane resonators.
Usage
python3 {baseDir}/scripts/modal_analysis.py \
--stl /path/to/membrane.stl \
--material '{"E_Pa":3e9,"nu":0.35,"rho_kg_m3":1500}' \
--target-freq-min 2000 \
--target-freq-max 8000 \
--output /tmp/fem_results.json
Output JSON
{
"eigenfrequencies_hz": [1234.5, 2345.6, ...],
"num_modes": 10,
"target_range_hz": [2000, 8000],
"target_range_pass": true,
"modes_in_range": [2345.6, 4567.8],
"mode_shapes_png": "/tmp/mode_shapes.png",
"mesh_nx": 40, "mesh_ny": 120,
"material": {"E_Pa": 3e9, "nu": 0.35, "rho_kg_m3": 1500}
}
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