mems-ana_core

mems-ana_core is a calibrated Reduced Order Model (ROM) for
rectangular MEMS diaphragms with Si + PZT unimorph actuation.

It is designed for pre-FEM analysis and enables consistent evaluation of:

• Natural frequencies
• Frequency response functions (FRF)
• Center displacement
• Electrical terminal behavior (V–I)

within a single, physically consistent framework.

🔗 Links

Language	GitHub Pages 🌐	GitHub 💻
🇺🇸 English

Key Features

• 📐 Kirchhoff–Love plate theory
• ⚡ Piezo eigenstrain → bending moment → curvature → displacement
• 🔁 Modal superposition–based FRF
• 🧪 Physics-level contract tests using pytest
• 🧊 Shape factor K_W treated as a 1-point calibrated parameter

Calibration Policy (Important)

This ROM introduces a shape factor K_W that aggregates:

• Plate geometry
• Boundary conditions
• Mode shape normalization

The policy is:

• K_W is calibrated at one reference point (FEM or measurement)
• After calibration, K_W acts as a pure linear scaling factor
• Electrical quantities are independent of K_W

This behavior is guaranteed by the following test:

mems_ana/tests/test_kw_scaling.py

Intended Use Cases

• Early-stage MEMS diaphragm design
• Order-of-magnitude and sensitivity analysis before FEM
• Educational and analysis templates
• Control-oriented frequency/Q estimation

Directory Structure (Excerpt)

mems-ana_core/
├─ mems_ana/
│  ├─ geometry/
│  ├─ materials/
│  ├─ physics/
│  ├─ rom/
│  ├─ solver/
│  └─ tests/
├─ pyproject.toml
├─ README.md
└─ CHANGELOG.md

Status

• ✔ ROM structure finalized
• ✔ K_W calibration completed
• ✔ Tests passing
• ✔ Published on GitHub

This module is frozen as a design-ready ROM.