Path Optimization Along Lattices in Additive Manufacturing Using the Chinese Postman Problem
Abstract
Here, we develop a method for programming minimal time tool paths for single-bead-wide extrusions in additive manufacturing (AM) along an arbitrary lattice. We present a graphical model of the three-dimensional (3D) printing process and use the solution to the Chinese Postman Problem (CPP) to optimize the motion of an extruder on a given mesh. We present some graph theory background and explain how to solve the CPP. We then present experimental results, in which we demonstrate the implementation of the CPP in 3D printing. Last, we explain how our graphical understanding of AM can be further utilized to achieve greater optimization in additive research.
- Authors:
-
- Oak Ridge National Lab. (ORNL), Knoxville, TN (United States)
- Univ. of Tennessee, Knoxville, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1489612
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- 3D Printing and Additive Manufacturing
- Additional Journal Information:
- Journal Volume: 4; Journal Issue: 2; Journal ID: ISSN 2329-7662
- Publisher:
- Mary Ann Liebert, Inc.
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; additive manufacturing; 3D printing; graph theory; Chinese Postman Problem; software; lattices
Citation Formats
Dreifus, Gregory D., Goodrick, Kyle, Giles, Scott, Patel, Milan, Foster, Reed Matthew, Williams, Cody, Lindahl, John M., Post, Brian K., Roschli, Alex C., Love, Lonnie, and Kunc, Vlastimil. Path Optimization Along Lattices in Additive Manufacturing Using the Chinese Postman Problem. United States: N. p., 2017.
Web. doi:10.1089/3dp.2017.0007.
Dreifus, Gregory D., Goodrick, Kyle, Giles, Scott, Patel, Milan, Foster, Reed Matthew, Williams, Cody, Lindahl, John M., Post, Brian K., Roschli, Alex C., Love, Lonnie, & Kunc, Vlastimil. Path Optimization Along Lattices in Additive Manufacturing Using the Chinese Postman Problem. United States. https://doi.org/10.1089/3dp.2017.0007
Dreifus, Gregory D., Goodrick, Kyle, Giles, Scott, Patel, Milan, Foster, Reed Matthew, Williams, Cody, Lindahl, John M., Post, Brian K., Roschli, Alex C., Love, Lonnie, and Kunc, Vlastimil. Thu .
"Path Optimization Along Lattices in Additive Manufacturing Using the Chinese Postman Problem". United States. https://doi.org/10.1089/3dp.2017.0007. https://www.osti.gov/servlets/purl/1489612.
@article{osti_1489612,
title = {Path Optimization Along Lattices in Additive Manufacturing Using the Chinese Postman Problem},
author = {Dreifus, Gregory D. and Goodrick, Kyle and Giles, Scott and Patel, Milan and Foster, Reed Matthew and Williams, Cody and Lindahl, John M. and Post, Brian K. and Roschli, Alex C. and Love, Lonnie and Kunc, Vlastimil},
abstractNote = {Here, we develop a method for programming minimal time tool paths for single-bead-wide extrusions in additive manufacturing (AM) along an arbitrary lattice. We present a graphical model of the three-dimensional (3D) printing process and use the solution to the Chinese Postman Problem (CPP) to optimize the motion of an extruder on a given mesh. We present some graph theory background and explain how to solve the CPP. We then present experimental results, in which we demonstrate the implementation of the CPP in 3D printing. Last, we explain how our graphical understanding of AM can be further utilized to achieve greater optimization in additive research.},
doi = {10.1089/3dp.2017.0007},
journal = {3D Printing and Additive Manufacturing},
number = 2,
volume = 4,
place = {United States},
year = {Thu Jun 01 00:00:00 EDT 2017},
month = {Thu Jun 01 00:00:00 EDT 2017}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Toolpath optimization for minimizing airtime during machining
journal, January 2003
- Castelino, Kenneth; D'Souza, Roshan; Wright, Paul K.
- Journal of Manufacturing Systems, Vol. 22, Issue 3
Approximation algorithms for lawn mowing and milling☆☆A preliminary version of this paper was entitled “The lawnmower problem” and appears in the Proc. 5th Canad. Conf. Comput. Geom., Waterloo, Canada, 1993, pp. 461–466.
journal, October 2000
- Arkin, Esther M.; Fekete, Sándor P.; Mitchell, Joseph S. B.
- Computational Geometry, Vol. 17, Issue 1-2
Feed optimization for five-axis CNC machine tools with drive constraints
journal, June 2008
- Sencer, B.; Altintas, Y.; Croft, E.
- International Journal of Machine Tools and Manufacture, Vol. 48, Issue 7-8
Efficient polygon-filling algorithms for raster displays
journal, October 1983
- Dunlavey, Michael R.
- ACM Transactions on Graphics, Vol. 2, Issue 4
Tool-path planning for direction-parallel area milling
journal, January 2000
- Park, S. C.; Choi, B. K.
- Computer-Aided Design, Vol. 32, Issue 1
The optimal zigzag direction for filling a two‐dimensional region
journal, December 2001
- Rajan, V. T.; Srinivasan, Vijay; Tarabanis, Konstantinos A.
- Rapid Prototyping Journal, Vol. 7, Issue 5
Path planning with offset curves for layered fabrication processes
journal, January 1995
- Farouki, R. T.; Koenig, T.; Tarabanis, K. A.
- Journal of Manufacturing Systems, Vol. 14, Issue 5
Equidistant path generation for improving scanning efficiency in layered manufacturing
journal, March 2002
- Yang, Y.; Loh, H. T.; Fuh, J. Y. H.
- Rapid Prototyping Journal, Vol. 8, Issue 1
Optimal toolpath pattern identification for single island, sculptured part rough machining using fuzzy pattern analysis
journal, November 1994
- Li, H.; Dong, Z.; Vickers, G. W.
- Computer-Aided Design, Vol. 26, Issue 11
A Metric-Based Approach to Two-Dimensional (2D) Tool-Path Optimization for High-Speed Machining
journal, February 2005
- Wang, Hongcheng; Jang, Peter; Stori, James A.
- Journal of Manufacturing Science and Engineering, Vol. 127, Issue 1
Combined reparameterization-based spiral toolpath generation for five-axis sculptured surface machining
journal, January 2008
- Ren, Fei; Sun, Yuwen; Guo, Dongming
- The International Journal of Advanced Manufacturing Technology, Vol. 40, Issue 7-8
A review of process planning techniques in layered manufacturing
journal, March 2000
- Kulkarni, Prashant; Marsan, Anne; Dutta, Debasish
- Rapid Prototyping Journal, Vol. 6, Issue 1
Weld deposition-based rapid prototyping: a preliminary study
journal, April 2003
- Zhang, YuMing; Chen, Yiwei; Li, Pengjiu
- Journal of Materials Processing Technology, Vol. 135, Issue 2-3
Automated torch path planning using polygon subdivision for solid freeform fabrication based on welding
journal, January 2004
- Dwivedi, Rajeev; Kovacevic, Radovan
- Journal of Manufacturing Systems, Vol. 23, Issue 4
A tool-path generation strategy for wire and arc additive manufacturing
journal, April 2014
- Ding, Donghong; Pan, Zengxi; Cuiuri, Dominic
- The International Journal of Advanced Manufacturing Technology, Vol. 73, Issue 1-4
Optimization of tool-path generation for material extrusion-based additive manufacturing technology
journal, October 2014
- Jin, Yu-an; He, Yong; Fu, Jian-zhong
- Additive Manufacturing, Vol. 1-4
A topological hierarchy-based approach to toolpath planning for multi-material layered manufacturing
journal, February 2006
- Choi, S. H.; Cheung, H. H.
- Computer-Aided Design, Vol. 38, Issue 2
Structure and mechanical behavior of Big Area Additive Manufacturing (BAAM) materials
journal, January 2017
- Duty, Chad E.; Kunc, Vlastimil; Compton, Brett
- Rapid Prototyping Journal, Vol. 23, Issue 1
The importance of carbon fiber to polymer additive manufacturing
journal, September 2014
- Love, Lonnie J.; Kunc, Vlastamil; Rios, Orlando
- Journal of Materials Research, Vol. 29, Issue 17
Additive Manufacturing Technologies
book, January 2010
- Gibson, Ian; Rosen, David W.; Stucker, Brent
- Springer New York, NY
Arc Routing Problems, Part I: The Chinese Postman Problem
journal, April 1995
- Eiselt, H. A.; Gendreau, Michel; Laporte, Gilbert
- Operations Research, Vol. 43, Issue 2
Maximum matching and a polyhedron with 0,1-vertices
journal, January 1965
- Edmonds, Jack
- Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics, Vol. 69B, Issue 1 and 2
Ueber die Möglichkeit, einen Linienzug ohne Wiederholung und ohne Unterbrechung zu umfahren
journal, March 1873
- Hierholzer, Carl; Wiener, Chr
- Mathematische Annalen, Vol. 6, Issue 1
Works referencing / citing this record:
Additive Manufacturing of Biomechanically Tailored Meshes for Compliant Wearable and Implantable Devices
journal, June 2019
- Pattinson, Sebastian W.; Huber, Meghan E.; Kim, Sanha
- Advanced Functional Materials, Vol. 29, Issue 32
Additive Manufacturing of Biomechanically Tailored Meshes for Compliant Wearable and Implantable Devices
text, January 2019
- Pattinson, Sebastian; Huber, Me; Kim, S.
- Apollo - University of Cambridge Repository
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