Thermal Warping Membrane Simulator

Monte Carlo simulation of thermoelastic warping in large thin-film membranes under solar illumination. Models thermal gradients, curvature, and tension counteraction for Dyson swarm collector satellites.

Warping Parameters

0.3 AU (Mercury) 1.0 AU (Earth)
15 ppm/K (low) 40 ppm/K (high)
0.1 N/m 10 N/m
0.60 0.95
0.70 0.95
15% 35%
5 g/m² 100 g/m²

Computed Material Properties

Equilibrium Temp 436 K
Film Thickness 17.6 µm

Area Sweep Mode

Sweeps membrane area from 5,000 to 1,000,000 m² at 0.5 AU with 1 N/m tension. Shows deflection curve with confidence bands and tolerance thresholds.

Area vs. Deflection

Run a simulation to see deflection curves

Simulation Results

Configure membrane parameters and run the simulation to see thermal warping results.

Research Question Addressed

RQ-2-4

Thermal warping effects on large thin-film membranes in the solar environment

Simulation Methodology

This Monte Carlo simulation models thermoelastic warping of large thin-film membranes under solar illumination, a key engineering challenge for Dyson swarm collector satellites.

  • Equilibrium temperature from radiative energy balance with PV conversion
  • Front-to-back thermal gradient from emissivity asymmetry (~8%)
  • Thermoelastic curvature: kappa = CTE x dT / thickness
  • Flat membrane deflection: w = kappa x L² / 8
  • Tension counteraction reduces effective deflection toward zero
  • Stochastic variation: CTE +/-10%, emissivity +/-5%, tension +/-15%

Key trade-off: Larger membranes capture more energy but require higher tension to maintain flatness within phased array tolerances (5 mm) or structural limits (10 cm).

Project Dyson — A volunteer-led nonprofit. All plans and research are publicly available.