Membrane Deployment Dynamics Simulator
Structural stability and flutter boundary analysis for large-scale thin-film membrane deployment. Models natural frequencies, spin stabilization, and solar radiation pressure forcing to determine safe operating envelopes.
Membrane Parameters
Diameter Sweep Mode
Sweeps diameter from 100-1000m to map the stability boundary. Shows minimum tension required for flutter-free operation at each size.
Stability Boundary Map
Run a simulation to see the stability boundary map
Analysis Results
Configure the membrane parameters and run the simulation to see stability analysis results.
Research Question Addressed
RQ-1-7
Large-scale membrane deployment dynamics
What are the structural stability limits for thin-film membranes at scale? How does spin stabilization interact with solar radiation pressure forcing? What minimum tension prevents flutter for membranes of 100-1000m diameter?
Simulation Methodology
This hybrid simulator combines pre-computed finite element modal analysis with real-time analytical plate theory for interactive parameter exploration.
- Natural frequencies from Bessel function zeros (circular membrane plate theory)
- Spin stabilization adds centrifugal tension: T_c = sigma * omega^2 * R^2 / 4
- Flutter boundary: SRP forcing vs structural damping capacity
- Monte Carlo applies manufacturing variations (+/-5% tension, +/-3% density)
- Pre-computed FE grid (if available) provides more accurate eigenvalues
Key trade-off: larger membranes have lower natural frequencies and are more susceptible to flutter, requiring either higher tension or spin stabilization. Spin rate is limited by deployment mechanisms and structural fatigue.
This simulator investigates RQ-1-7: Large-scale membrane deployment dynamics
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