1. Date of download: 1/23/2018
Copyright © ASME. All rights reserved.
From: Accelerated Thermal Simulation for Three-Dimensional Interactive Optimization of Computer Numeric Control Sheet Metal Laser Cutting
J. Manuf. Sci. Eng. 2017;140(3): doi: /
Figure Legend:
Schematic of the laser heating model. A laser passes an amount of energy f at a sheet location x0, while the sheet cools down due to convection q at the surface.

2. Date of download: 1/23/2018
Copyright © ASME. All rights reserved.
From: Accelerated Thermal Simulation for Three-Dimensional Interactive Optimization of Computer Numeric Control Sheet Metal Laser Cutting
J. Manuf. Sci. Eng. 2017;140(3): doi: /
Figure Legend:
Integration scheme between the physics and geometry modules for interactive simulation of the CNC sheet metal laser cutting

3. Date of download: 1/23/2018
Copyright © ASME. All rights reserved.
From: Accelerated Thermal Simulation for Three-Dimensional Interactive Optimization of Computer Numeric Control Sheet Metal Laser Cutting
J. Manuf. Sci. Eng. 2017;140(3): doi: /
Figure Legend:
Analytic temperature and relative error distribution (with respect to FEA) for the S-shape laser trajectory: (a) analytic temperature distribution at t = 0.12 s and (b) relative error. Analytic versus FEA solution. Relative error below 3.43%.

4. Date of download: 1/23/2018
Copyright © ASME. All rights reserved.
From: Accelerated Thermal Simulation for Three-Dimensional Interactive Optimization of Computer Numeric Control Sheet Metal Laser Cutting
J. Manuf. Sci. Eng. 2017;140(3): doi: /
Figure Legend:
Simulation of the CNC process integrating the physical (512 × 512 Fourier coefficients) and the geometric modules (1024 × 1024 grid points): (a) temperature texture map and (b) visualization of the cutting process in the interactive simulator

5. Date of download: 1/23/2018
Copyright © ASME. All rights reserved.
From: Accelerated Thermal Simulation for Three-Dimensional Interactive Optimization of Computer Numeric Control Sheet Metal Laser Cutting
J. Manuf. Sci. Eng. 2017;140(3): doi: /
Figure Legend:
Central processing unit (CPU) computation times of the Fourier coefficients for a single timestep (as per Eq. (5))

6. Date of download: 1/23/2018
Copyright © ASME. All rights reserved.
From: Accelerated Thermal Simulation for Three-Dimensional Interactive Optimization of Computer Numeric Control Sheet Metal Laser Cutting
J. Manuf. Sci. Eng. 2017;140(3): doi: /
Figure Legend:
The interactive CNC simulator can be used to detect potential problems in the nesting planning due to heat propagation: (a) nesting of the CNC program, (b) overall 3D visualization of the CNC simulation, and (c) detailed inspection near a recent cut. Heat affects posterior cuts