General Function sets theory-based type synthesis of the collaborative 3D printer for planar and non-planar printing

Abstract

3-dimension printing (3DP) or Additive Manufacturing promises rapid prototyping with 3D printers, the precondition for manufacturing complex components and surfaces. Usually, three-axis 3D printers are widely applied with planar slicing, limiting solid freeform fabrication with finite printing direction. Non-planar slicing (or curved layer slicing) has been put forward to break through the layerwise framework with infinite directions, requiring multi-axis 3D printers with more than four DOFs. However, as far as the authors know, the specific design method of 3D printers’ structure has seldom been studied for non-planar printing. Furthermore, there is no specified systematical research on the type synthesis of the 3D printer, which has two collaborative modules functioning together. One module serves as the build platform and the other as the print head attached moving platform. Hence, to obtain topological structures of the collaborative 3D printer for planar and non-planar printing, this paper investigates the type synthesis by introducing a research background at first. Then, the motion characteristics of the collaborative 3D printer are determined based on the planned paths’ geometric characteristics and motion requirements of the 3D printer. After that, General Function sets theory and the distribution principles are introduced, and the case study of 3D printers with 3T, 3T1R, and 3T2R is given. Finally, this research paper proposes a class of rotary 3D printers having 2T1R, 2T2R, and 2T3R innovatively. Furthermore, one prototype of the above case study is designed, and a preliminary experiment for planar and non-planar printing is carried out to verify the feasibility of the type synthesis’s result. In general, aiming at planar and non-planar printing, this paper presents a theory for type synthesis of collaborative 3D printers to offer a much richer set of kinematic structures than the most commonly used three Degree of Freedom printers.

Keywords

Type Synthesis additive manufacturing collaborative 3D printers planar and non-planar printing

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References

Gibson

Rosen

Stucker

. Additive manufacturing technologies: 3D printing, rapid prototyping, and direct digital manufacturing. 2nd ed. New York, NY: Springer New York, 2015. DOI: 10.1007/978-1-4939-2113-3.

ASTM International . F2792-12a - standard terminology for additive manufacturing technologies. Rapid Manuf Assoc 2013; i: 10–12.

Allen

RJA

Trask

. An experimental demonstration of effective curved layer fused filament fabrication utilising a parallel deposition robot. Addit Manuf 2015; 8: 78–87.

Llewellyn-Jones

Allen

Trask

. Curved layer fused filament fabrication using automated toolpath generation. 3D Print Addit Manuf 2016; 3: 236–243.

Tam

K-MM

Mueller

. Additive manufacturing along principal stress lines. 3D Print Addit Manuf 2017; 4: 63–81.

Wei

Qiu

Zhu

, et al. Toward support-free 3D printing: a skeletal approach for partitioning models. IEEE Trans Visual Comput Graph 2018; 24: 2799–2812.

Chen

Tang

. Support-Free layered process planning toward 3 + 2-Axis Additive manufacturing. IEEE Trans Autom Sci Eng 2019; 16: 838–850.

Zhao

Guo

. Shape and performance controlled advanced design for additive manufacturing: a review of slicing and path planning. J Manuf Sci Eng Trans ASME 2020; 142: 1–23.

Google. Cartesian (xyz) printers . 3D printer list, https://sites.google.com/site/3dprinterlist/xyz-printers, (accessed on 23 September 2019).

10.

ASTM-Standard . ISO/ASTM 52921:2013(E) - standard terminology for additive manufacturing — coordinate systems and test 2013; i: 13.

11.

Poudel

Marques

Williams

, et al. Architecting the cooperative 3d printing system. Proc ASME Des Eng Tech Conf 2020; 9: 1–13.

12.

Inkulu

Bahubalendruni

MVAR

Dara

, et al. Challenges and opportunities in human robot collaboration context of Industry 4.0 - a state of the art review. Ind Robot 2022; 49: 226–239. DOI: 10.1108/IR-04-2021-0077.

13.

Wang

. Quotient kinematics machines: concept, analysis, and synthesis. J Mech Robot 2011; 3: 041004.

14.

Zhao

Shen

, et al. A multi-DOF rotary 3D printer: machine design, performance analysis and process planning of curved layer fused deposition modeling (CLFDM). Rapid Prototyp J 2020; 26: 1079–1093.

15.

Shembekar

Yoon

Kanyuck

, et al. Generating robot trajectories for conformal three-dimensional printing using nonplanar layers. J Comput Inf Sci Eng 2019; 19: 031011. DOI: 10.1115/1.4043013. check

16.

Ding

Pan

Cuiuri

, et al. Advanced design for additive manufacturing: 3D slicing and 2D path planning. In: New trends in 3D printing. InTech, 2016, pp. 3–24.

17.

Ding

, et al. A review of slicing methods for directed energy deposition based additive manufacturing. Rapid Prototyp J 2018; 24: 1012–1025.

18.

Zhao

Guo

. Research on curved layer fused deposition modeling (CLFDM) with variable extruded filament (VEF). In: Proceedings of the ASME Design Engineering Technical Conference, Quebec City, Quebec, Canada, 26–29 August 2018, p. V004T05A015.

19.

Panda

Bahubalendruni

Biswal

, et al. A CAD-based approach for measuring volumetric error in layered manufacturing. Proc IME C J Mech Eng Sci 2017; 231: 2398–2406.

20.

Nayak

Bahubalendruni

MVAR

Biswal

, et al. An approach towards economized 3D printing. Appl Mech Mater 2016; 852: 185–191.

21.

Jin

, et al. Modeling and process planning for curved layer fused deposition. Int J Adv Manuf Technol 2017; 91: 273–285.

22.

Shembekar

Yoon

Kanyuck

, et al. Trajectory planning for conformal 3D printing using non-planar layers. ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Quebec City, Quebec, Canada, 26–29 August 2018, p. V01AT02A026.

23.

Chen

Sheng

, et al. General framework of optimal tool trajectory planning for free-form surfaces in surface manufacturing. J Manuf Sci Eng 2005; 127: 49–59.

24.

Zhao

Feng

, et al. Nonplanar slicing and path generation methods for robotic additive manufacturing. Int J Adv Manuf Technol 2018; 96: 3149–3159.

25.

Ding

Pan

Cuiuri

, et al. Automatic multi-direction slicing algorithms for wire based additive manufacturing. Robot Comput Integrated Manuf 2016; 37: 139–150.

26.

Grutle

ØK

. 5-axis 3D printer. Oslo: University of Oslo, 2015.

27.

Chakraborty

Aneesh Reddy

Roy Choudhury

. Extruder path generation for curved layer fused deposition modeling. Comput Aided Des 2008; 40: 235–243.

28.

Dai

Fang

, et al. RoboFDM: a robotic system for support-free fabrication using FDM. In: Proceedings - IEEE International Conference on Robotics and Automation, Singapore, 29 May–3 June 2017. IEEE, pp. 1175–1180.

29.

Song

Pan

Chen

. Development of a low-cost parallel kinematic machine for multidirectional additive manufacturing. J Manuf Sci Eng Trans ASME 2015; 137: 021005.

30.

Shen

Diao

Yue

, et al. Fused deposition modeling five-axis additive manufacturing: machine design, fundamental printing methods and critical process characteristics. Rapid Prototyp J 2018; 24: 548–561.

31.

Gao

Zhang

Nazzetta

, et al. RevoMaker: enabling multi-directional and functionally-embedded 3D printing using a rotational cuboidal platform. In: UIST 2015 - Proceedings of the 28th Annual ACM Symposium on User Interface Software and Technology, Charlotte, NC, USA, 5 November 2015. ACM, pp. 437–446.

32.

Apro

Secrets of 5-Axis Machining, 2008. New York: Industrial Press Inc.

33.

Bohez

ELJ

. Five-axis milling machine tool kinematic chain design and analysis. Int J Mach Tool Manufact 2002; 42: 505–520.

34.

. Type synthesis of lower mobility parallel mechanisms: a review. Chin J Mech Eng 2019; 32: 38. English Ed. DOI: 10.1186/s10033-019-0350-x.

35.

Meng

Gao

, et al. Type synthesis of parallel robotic mechanisms: framework and brief review. Mech Mach Theor 2014; 78: 177–186. DOI: 10.1016/j.mechmachtheory.2014.03.008.

36.

Dai

, et al. Type synthesis of a class of spatial lower-mobility parallel mechanisms with orthogonal arrangement based on Lie group enumeration. Sci China Technol Sci 2010; 53: 388–404.

37.

Huang

Herve

. Type synthesis of 3R2T 5-DOF parallel mechanisms using the lie group of displacements. IEEE Trans Robot Autom 2004; 20: 173–180.

38.

Hervé

. Lie group of rigid body displacements, a fundamental tool for mechanism design. Mech Mach Theor 1999; 34: 719–730.

39.

Huang

Hervé

. Displacement manifold method for type synthesis of lower-mobility parallel mechanisms. Sci China, Ser A 2004; 47: 641–650.

40.

Yang

Gao

, et al. Type synthesis of parallel mechanisms having the first class GF sets and one-dimensional rotation. Robotica 2011; 29: 895–902.

41.

Gao

Yang

. Type synthesis of parallel mechanisms having the second class GF sets and two dimensional rotations. J Mech Robot 2011; 3: 011003. DOI: 10.1115/1.4002697.

42.

Gao

Yang

. Type synthesis of parallel mechanisms of GF sets theory (in Chinese). Beijing, China: Science Press, 2011.

43.

Gogu

. Structural synthesis of maximally regular T3R2-type parallel robots via theory of linear transformations and evolutionary morphology. Robotica 2009; 27: 79–101.

44.

Yang

Liu

Jin

, et al. Position and orientation characteristic equation for topological design of robot mechanisms. J Mech Des Trans ASME 2009; 131: 0210011–02100117.

45.

Zarrouk

Shoham

. A note on the screw triangle. J Mech Robot 2011; 3: 014502. DOI: 10.1115/1.4002943.

46.

Sun

Yang

Huang

, et al. A way of relating instantaneous and finite screws based on the screw triangle product. Mech Mach Theor 2017; 108: 75–82.

47.

Huang

. General methodology for type synthesis of symmetrical lower-mobility parallel manipulators and several novel manipulators. Int J Robot Res 2002; 21: 131–145.

48.

Kong

Gosselin

. Type synthesis of 3-DOF PPR-equivalent parallel manipulators based on screw theory and the concept of virtual chain. J Mech Des 2005; 127: 1113–1121.

49.

Xie

Liu

X-J

. Type synthesis and typical application of 1T2R-type parallel robotic mechanisms. Math Probl Eng 2013; 2013: 1–12. DOI: 10.1155/2013/206181.

50.

Tsai

L-W

. The enumeration of a class of three-dof parallel manipulators. In: Proceedings of “Tenth world Congress on the TMM” Oulu, Finland. 20-24 June 1999, pp. 1121–1126.

51.

Gao

Sun

. Design and kinematic analysis of a novel hybrid kinematic mechanism with seven-degrees-of-freedom and variable topology for operation in space. J Mech Robot 2019; 11: 011003.

52.

Ding

Dwivedi

Kovacevic

. Process planning for 8-axis robotized laser-based direct metal deposition system: a case on building revolved part. Robot Comput Integrated Manuf 2017; 44: 67–76.

53.

Raney

Compton

Mueller

, et al. Rotational 3D printing of damage-tolerant composites with programmable mechanics. Proc Natl Acad Sci USA 2018; 115: 1198–1203.

54.

. Quotient kinematics mechanisms: modeling, analysis and synthesis (in Chinese). Shanghai: Shanghai Jiao Tong University, 2009.

55.

Wang

Guo

Gao

. On passive limbs in the design of parallel mechanisms. Lecture Notes in Electrical Engineering 2017; 408: 493–504.

56.

Zhao

Guo

. Dimension design of a novel 2T2R-type rotary 3D printer with multi-mode for flat and curved layer FDM. In: 5th IEEE/IFToMM International Conference on Reconfigurable Mechanisms and Robots (ReMAR 2021), Toronto, Ontario, Canada. 12-14 August 2021.

57.

Kim

Espalin

Cuaron

, et al. Cooperative tool path planning for wire embedding on additively manufactured curved surfaces using robot kinematics. J Mech Robot 2015; 7: 021003.

58.

Zhao

Guo

. Mixed-layer adaptive slicing for robotic Additive Manufacturing (AM) based on decomposing and regrouping. J Intell Manuf 2020; 31: 985–1002.

59.

Yigit

Lazoglu

. Helical slicing method for material extrusion-based robotic additive manufacturing. Progress in Additive Manufacturing 2019; 4: 225–232.

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