Topology optimization of continuum structures under hybrid additive-subtractive manufacturing constraints

Additive manufacturing (AM) makes it possible to fabricate complicated parts that are otherwise difficult to manufacture by subtractive machining. However, such parts often require temporary support material to prevent the component from collapsing or warping during fabrication. The support material results in increased material consumption, manufacturing time, and clean-up costs. The surface precision and dimensional accuracy of the workpieces from AM are far from the engineering requirement due to layer upon layer manufacturing. Subtractive machining (SM), by contrast, can fabricate parts to satisfy the requirements of surface precision and dimensional accuracy. Nevertheless, the components need to be relatively uncomplicated for subtractive manufacturing. Thus, hybrid additive-subtractive manufacturing (HASM) is gaining increasing attention in order to take advantages of both processes. There is little research on the topological design methodology for this hybrid manufacturing technology. To address this issue, a method based on geometry approach for topology optimization of continuum structure is proposed in this paper. Both additive manufacturing and subtractive machining constraints are simultaneously considered in each topology optimization iteration. The topology optimization is performed by the bi-directional evolutionary structural optimization (BESO) method. The effectiveness of the proposed method is demonstrated by several 3D compliance minimization problems.

[1]  Bin Xu,et al.  Topology optimization of continuum structures for natural frequencies considering casting constraints , 2018, Engineering Optimization.

[2]  J. Sethian,et al.  Structural Boundary Design via Level Set and Immersed Interface Methods , 2000 .

[3]  Charlie C. L. Wang,et al.  Self-supporting rhombic infill structures for additive manufacturing , 2016, Comput. Aided Des..

[4]  Grant P. Steven,et al.  Optimal design of multiple load case structures using an evolutionary procedure , 1994 .

[5]  Casper Schousboe Andreasen,et al.  An explicit parameterization for casting constraints in gradient driven topology optimization , 2011 .

[6]  Jikai Liu,et al.  Role of anisotropic properties on topology optimization of additive manufactured load bearing structures , 2017 .

[7]  Harry Bikas,et al.  Additive manufacturing methods and modelling approaches: a critical review , 2015, The International Journal of Advanced Manufacturing Technology.

[8]  N. Kikuchi,et al.  A homogenization method for shape and topology optimization , 1991 .

[9]  Lothar Harzheim,et al.  A review of optimization of cast parts using topology optimization , 2005 .

[10]  Y. Xie,et al.  Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials , 2009 .

[11]  K. P. Karunakaran,et al.  Low cost integration of additive and subtractive processes for hybrid layered manufacturing , 2010 .

[12]  L. Murr,et al.  Multi-material metallic structure fabrication using electron beam melting , 2014 .

[13]  Xiaoping Qian,et al.  Topology optimization in B-spline space , 2013 .

[14]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[15]  Lothar Harzheim,et al.  A review of optimization of cast parts using topology optimization , 2005 .

[16]  Jihong Zhu,et al.  Structural design of aircraft skin stretch-forming die using topology optimization , 2013, J. Comput. Appl. Math..

[17]  Muzheng Xiao,et al.  Study of hybrid additive manufacturing based on pulse laser wire depositing and milling , 2017 .

[18]  Akira Hosokawa,et al.  Study on Machinability of Laser Sintered Materials Fabricated By Layered Manufacturing System: Influence of Different Hardness of Sintered Materials , 2012 .

[19]  Xiaoming Wang,et al.  A level set method for structural topology optimization , 2003 .

[20]  Grégoire Allaire,et al.  Structural optimization under overhang constraints imposed by additive manufacturing technologies , 2017, J. Comput. Phys..

[21]  Yi Min Xie,et al.  Evolutionary Topology Optimization of Continuum Structures: Methods and Applications , 2010 .

[22]  Aydin Nassehi,et al.  A review of hybrid manufacturing processes – state of the art and future perspectives , 2013, Int. J. Comput. Integr. Manuf..

[23]  Ole Sigmund,et al.  Infill Optimization for Additive Manufacturing—Approaching Bone-Like Porous Structures , 2016, IEEE Transactions on Visualization and Computer Graphics.

[24]  Yunqing Zhang,et al.  Manufacturing- and machining-based topology optimization , 2006 .

[25]  Alberto Boschetto,et al.  Surface roughness prediction in fused deposition modelling by neural networks , 2013 .

[26]  Y. Xie,et al.  An improved method for evolutionary structural optimisation against buckling , 2001 .

[27]  Erik Lund,et al.  Topology and thickness optimization of laminated composites including manufacturing constraints , 2013 .

[28]  James K. Guest,et al.  Topology optimization considering overhang constraints: Eliminating sacrificial support material in additive manufacturing through design , 2016 .

[29]  Xu Guo,et al.  Doing Topology Optimization Explicitly and Geometrically—A New Moving Morphable Components Based Framework , 2014 .

[30]  Dirk Herzog,et al.  Design guidelines for laser additive manufacturing of lightweight structures in TiAl6V4 , 2015 .

[31]  M. Zhou,et al.  The COC algorithm, Part II: Topological, geometrical and generalized shape optimization , 1991 .

[32]  Krishnan Suresh,et al.  Support structure constrained topology optimization for additive manufacturing , 2016, Comput. Aided Des..

[33]  Bo-Sung Shin,et al.  Development of a direct metal freeform fabrication technique using CO2 laser welding and milling technology , 2001 .

[34]  Ming-Chuan Leu,et al.  Progress in Additive Manufacturing and Rapid Prototyping , 1998 .

[35]  Doo-Sun Choi,et al.  3D welding and milling: Part I-a direct approach for freeform fabrication of metallic prototypes , 2005 .

[36]  Yi Min Xie,et al.  Evolutionary Structural Optimization , 1997 .

[37]  Niels Olhoff,et al.  Topology optimization of continuum structures: A review* , 2001 .

[38]  Ying Liu,et al.  Self-supporting structure design in additive manufacturing through explicit topology optimization , 2017 .

[39]  M. Bendsøe Optimal shape design as a material distribution problem , 1989 .

[40]  G. Rozvany Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics , 2001 .

[41]  Wang Guilan,et al.  Hybrid plasma deposition and milling for an aeroengine double helix integral impeller made of superalloy , 2010 .

[42]  Y. Xie,et al.  A simple evolutionary procedure for structural optimization , 1993 .

[43]  Bi Zhang,et al.  Machining characteristics of 18Ni-300 steel in additive/subtractive hybrid manufacturing , 2018 .

[44]  J. Jeng,et al.  Mold fabrication and modification using hybrid processes of selective laser cladding and milling , 2001 .

[45]  Jian Zhang,et al.  Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons , 2016 .

[46]  P. Wright,et al.  Anisotropic material properties of fused deposition modeling ABS , 2002 .

[47]  A. Clausen Topology Optimization for Additive Manufacturing , 2016 .

[48]  A. I. Gorunov,et al.  Study of the effect of heat treatment on the structure and properties of the specimens obtained by the method of direct metal deposition , 2016 .

[49]  Jean-Pierre Kruth,et al.  Direct Selective Laser Sintering of Hard Metal Powders: Experimental Study and Simulation , 2002 .

[50]  Charlie C. L. Wang,et al.  Current and future trends in topology optimization for additive manufacturing , 2018 .

[51]  Joaquim Ciurana,et al.  Influence of process parameters on part quality and mechanical properties for DMLS and SLM with iron-based materials , 2012 .