Functional Generative Design: An Evolutionary Approach to - PowerPoint PPT Presentation

Functional Generative Design: An Evolutionary Approach to 3D-Printing GECCO 2018 Kyoto, Japan

Overview • • – – – – • – • – – •

Motivation

Motivation (FDM) (kinematic)

Motivation Printed supports Fused Deposition Modeling Process

Motivation Printed supports Fused Deposition Modeling Process requires post-processing

Motivation •

Motivation •

Motivation •

Motivation • Supports! (Grey)

Motivation • Supports! (Grey)

3D Printing Functional Parts Slicing (Output: GCODE ) 3D gear design 3D Printing model (Continuum model) (Discrete model)

Motivation Slicing (Output: GCODE ) 3D gear design 3D gear design 3D Printing model (Continuum model) (Discrete model)

Motivation Slicing (Output: GCODE ) 3D gear design 3D gear design 3D Printing model (Continuum model) (Discrete model)

Motivation Slicing (Output: GCODE ) 3D gear design 3D Printing model

3D Printing Functional Parts Slicing (Output: GCODE ) 3D gear design 3D Printing model (Continuum model) (Discrete model) • – – –

Motivation • Launcher Rails Ruler Car

Motivation •

Motivation • SPRING

Motivation • SPRING

Available Methods ● ○ ■ ○ ■ ● ○ ○ ■ ■

Methodology • ➢ ➢ ➢ ➢ •

VAE • → Latent Variable Space AE Training Loss = VAE Recons.Error + KL-divergence Kingma and Welling, 2014 Forces LVs to follow a unit Gaussian distribution •

VAE Interpolation in LV-space

Noisy (Regressing) Kriging • → • Correlation between two points: Prediction at new point x*: f Predicted (re-interpolation) error (for EGO):

EGO • → • Initial Sample Set Expensive Fitness Evaluations Build Surrogate Add Update Search for Improvement Update? Best Design

EGO • → • Initial Sample Set Expensive Fitness Evaluations Build Surrogate Add Update Search for Improvement Update? Best Design

rGA • → • ▪ ▪ α ▪ • ▪ ▪ •

Integrated Method Exp-1 : Random Sampling in LV-space ( 12-D ) Initial Designs Exp-2: Uniform Sampling 2-D / 3-D Conversion in LV-space ( 12-D ) Fitness Evaluations Build Kriging rGA VAE-Encoder (13-D) Add Update (New design in VAE-Decoder LV-space) EI: Search for an rGA update (12-D) Stop? Best Design

Experiments • • • – – • •

Exp-1 Results

Exp-2 Results

Discussion • → • → • •

Discussion • Continuous Gap (red region)

Future Work • VAE EG Conv. NN

Future Work • VAE EG Conv. NN • vs.

Future Work • VAE EG Conv. NN • vs. •

Future Work • VAE EG Conv. NN • vs. • •

Conclusions • • → • – – – ▪ ▪ – – •