Rapid Modeling and Design Optimization of Multi-Topology Lattice Structure Based on Unit-Cell Library

Lightweight lattice structure generation and topology optimization (TO) are common design methodologies. In order to further improve potential structural stiffness of lattice structures, a method combining the multi-topology lattice structure design based on unit-cell library with topology optimization is proposed to optimize the parts. First, a parametric modeling method to rapidly generate a large number of different types of lattice cells is presented. Then, the unit-cell library and its property space are constructed by calculating the effective mechanical properties via a computational homogenization methodology. Third, the template of compromise Decision Support Problem (cDSP) is applied to generate the optimization formulation. The selective filling function of unit cells and geometric parameter computation algorithm are subsequently given to obtain the optimum lightweight lattice structure with uniformly varying densities across the design space. Lastly, for validation purposes, the effectiveness and robustness of the optimized results are analyzed through finite element analysis (FEA) simulation.

[1]  Wesley J. Cantwell,et al.  An investigation into the compressive properties of stainless steel micro-lattice structures , 2011 .

[2]  Yaoyao Fiona Zhao,et al.  A Survey of Modeling of Lattice Structures Fabricated by Additive Manufacturing , 2017 .

[3]  Charlie C. L. Wang,et al.  The status, challenges, and future of additive manufacturing in engineering , 2015, Comput. Aided Des..

[4]  Albert C. To,et al.  Efficient Design-Optimization of Variable-Density Hexagonal Cellular Structure by Additive Manufacturing: Theory and Validation , 2015 .

[5]  H. Tan,et al.  An effective length model for octet lattice , 2018 .

[6]  Chih-Chun Cheng,et al.  Support structure design in additive manufacturing based on topology optimization , 2017 .

[7]  K. Saitou,et al.  Multi-material topology optimization using ordered SIMP interpolation , 2016, Structural and Multidisciplinary Optimization.

[8]  M. Larosa,et al.  Cranial reconstruction: 3D biomodel and custom-built implant created using additive manufacturing. , 2014, Journal of cranio-maxillo-facial surgery : official publication of the European Association for Cranio-Maxillo-Facial Surgery.

[9]  K. Tai,et al.  Structural topology design optimization using Genetic Algorithms with a bit-array representation , 2005 .

[10]  Guoying Dong,et al.  Design and Optimization of Graded Cellular Structures With Triply Periodic Level Surface-Based Topological Shapes , 2019, Journal of Mechanical Design.

[11]  Michael Gschweitl,et al.  Designing for Additive Manufacturing: Lightweighting Through Topology Optimization Enables Lunar Spacecraft , 2017 .

[12]  Seung-Hwan Chang,et al.  Finite element modelling and characterization of 3D cellular microstructures for the design of a cementless biomimetic porous hip stem , 2018, Materials & Design.

[13]  Tobias A. Schaedler,et al.  Mechanical performance of hollow tetrahedral truss cores , 2016 .

[14]  David W. Rosen,et al.  Heuristic optimization method for cellular structure design of light weight components , 2013 .

[15]  M. Ashby,et al.  Effective properties of the octet-truss lattice material , 2001 .

[16]  David W. Rosen,et al.  The Size Matching and Scaling Method: A Synthesis Method for the Design of Mesoscale Cellular Structures , 2010, 2010 International Conference on Manufacturing Automation.

[17]  Qi Xia,et al.  Bi-directional Evolutionary Structural Optimization on Advanced Structures and Materials: A Comprehensive Review , 2016, Archives of Computational Methods in Engineering.

[18]  Ketan Pawar,et al.  Design, Analysis and Fabrication of Quadcopter , 2015 .

[19]  Alireza Hassanzadeh Taheri,et al.  An isogeometric approach to topology optimization of multi‐material and functionally graded structures , 2017 .

[20]  Xiao Wang,et al.  Topology optimization of multi-material negative Poisson's ratio metamaterials using a reconciled level set method , 2017, Comput. Aided Des..

[21]  Sophia S. Yang,et al.  Designing Metallic Microlattices for Energy Absorber Applications , 2014 .

[22]  Federica Chiellini,et al.  Additive manufacturing of wet-spun polymeric scaffolds for bone tissue engineering , 2012, Biomedical microdevices.

[23]  Yaoyao Fiona Zhao,et al.  A survey of the design methods for additive manufacturing to improve functional performance , 2016 .

[24]  Haydn N. G. Wadley,et al.  Thermal Applications of Cellular Lattice Structures , 2007 .

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

[26]  David W. Rosen,et al.  Computer-Aided Design for Additive Manufacturing of Cellular Structures , 2007 .

[27]  Yi Min Xie,et al.  Design of lattice structures with controlled anisotropy , 2016 .

[28]  Christian Mittelstedt,et al.  Micromechanical analysis of the effective properties of lattice structures in additive manufacturing , 2018, Additive Manufacturing.

[29]  Yaoyao Fiona Zhao,et al.  Lattice Structure Design and Optimization With Additive Manufacturing Constraints , 2018, IEEE Transactions on Automation Science and Engineering.

[30]  Lin Cheng,et al.  Coupling lattice structure topology optimization with design-dependent feature evolution for additive manufactured heat conduction design , 2018 .

[31]  Lin Cheng,et al.  Efficient design optimization of variable-density cellular structures for additive manufacturing: theory and experimental validation , 2017 .

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

[33]  Makoto Ohsaki,et al.  Topology optimization of trusses by growing ground structure method , 2009 .

[34]  Guolei Zheng,et al.  Optimal design, analysis and additive manufacturing for two-level stochastic honeycomb structure , 2019, Int. J. Comput. Integr. Manuf..

[35]  Lin Cheng,et al.  Concurrent lattice infill with feature evolution optimization for additive manufactured heat conduction design , 2018 .

[36]  Qiangqiang Zhang,et al.  Three-Dimensional Printing Hollow Polymer Template-Mediated Graphene Lattices with Tailorable Architectures and Multifunctional Properties. , 2018, ACS nano.

[37]  Kristina Shea,et al.  Mechanics of Three-Dimensional Printed Lattices for Biomedical Devices , 2019, Journal of Mechanical Design.

[38]  George I. N. Rozvany,et al.  A critical review of established methods of structural topology optimization , 2009 .

[39]  Glaucio H. Paulino,et al.  GRAND3 — Ground structure based topology optimization for arbitrary 3D domains using MATLAB , 2015 .

[40]  David W. Rosen,et al.  PARAMETRIC MODELING METHOD FOR TRUSS STRUCTURES , 2002 .

[41]  Ying Liu,et al.  An investigation of the mechanical properties of metallic lattice structures fabricated using selective laser melting , 2018 .

[42]  Yong Chen,et al.  3D Texture Mapping for Rapid Manufacturing , 2007 .

[43]  Yafeng Han,et al.  A Novel Design Method for Nonuniform Lattice Structures Based on Topology Optimization , 2018, Journal of Mechanical Design.

[44]  G. Allaire,et al.  A level-set method for shape optimization , 2002 .

[45]  B. Vainshtein,et al.  Fundamentals of crystals : symmetry, and methods of structural crystallography , 1994 .

[46]  I. Ashcroft,et al.  Topology Optimization for Additive Manufacturing , 2011 .

[47]  M. Bendsøe,et al.  Optimization methods for truss geometry and topology design , 1994 .

[48]  Ali Ghoddosian,et al.  Topology optimisation of the discrete structures with the minimum growing ground structure method , 2018 .

[49]  Yaoyao Fiona Zhao,et al.  A hybrid geometric modeling method for lattice structures fabricated by additive manufacturing , 2019, The International Journal of Advanced Manufacturing Technology.

[50]  Yunlong Tang,et al.  Design of Conformal Porous Structures for the Cooling System of an Injection Mold Fabricated by Additive Manufacturing Process , 2019, Journal of Mechanical Design.

[51]  W. Lu,et al.  Optimisation of functionally graded lattice structures using isostatic lines , 2017 .

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

[53]  O. Sigmund,et al.  Topology optimization approaches , 2013, Structural and Multidisciplinary Optimization.

[54]  David Rosen,et al.  Design of truss-like cellular structures using relative density mapping method , 2015 .

[55]  Qui X. Lieu,et al.  A multi-resolution approach for multi-material topology optimization based on isogeometric analysis , 2017 .

[56]  G. Labeas,et al.  Elastic modulus and Poisson’s ratio determination of micro-lattice cellular structures by analytical, numerical and homogenisation methods , 2012 .

[57]  Yaoyao Fiona Zhao,et al.  Bidirectional Evolutionary Structural Optimization (BESO) based design method for lattice structure to be fabricated by additive manufacturing , 2015, Comput. Aided Des..

[58]  Mitsuru Kitamura,et al.  Method to optimize an additively-manufactured functionally-graded lattice structure for effective liquid cooling , 2019, Additive Manufacturing.

[59]  Adeildo S. Ramos,et al.  Material nonlinear topology optimization using the ground structure method with a discrete filtering scheme , 2017 .

[60]  Guoying Dong,et al.  A 149 Line Homogenization Code for Three-Dimensional Cellular Materials Written in matlab , 2018, Journal of Engineering Materials and Technology.

[61]  Michael Yu Wang,et al.  Concurrent design with connectable graded microstructures , 2017 .

[62]  David W. Rosen,et al.  An Automated Design Synthesis Method for Compliant Mechanisms With Application to Morphing Wings , 2006 .

[63]  Raymond J. Cipra,et al.  The Low Frequency Performance of Metamaterial Barriers Based on Cellular Structures , 2013 .

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

[65]  Vadim Shapiro,et al.  Sample-based synthesis of two-scale structures with anisotropy , 2017, Comput. Aided Des..