Topology optimization with additive manufacturing consideration for vehicle load path development

Summary Topology optimization has been widely studied and implemented as a powerful conceptual design tool in various engineering applications. However, the result from topology optimization has posed an implementation challenge to engineers because of the complexity of converting obtained solution into computer-aided design data and then fabricating it into real parts. Over the past few years, the advanced additive manufacturing technology with new materials and higher resolution output capabilities has opened numerous opportunities to fill the gap between topology optimization and product application. In this study, an engineering procedure is presented for the conversion of topology optimization result to ready-to-print model for additive manufacturing. The steps of post-optimization handling are outlined, and the potential practical issues for the additive manufacturing implementation are discussed. A vehicle example for full frontal impact load path development by topology optimization with inertia relief approach is used to exhibit the employed additive manufacturing implementation process with a reduced-scale part build. The arising implementation issues and needs are examined for future advance of topology optimization and additive manufacturing integration development. Copyright © 2017 John Wiley & Sons, Ltd.

[1]  Ren-Jye Yang,et al.  Optimal topology design using linear programming , 1994 .

[2]  Christopher B. Williams,et al.  Multiple-Material Topology Optimization of Compliant Mechanisms Created Via PolyJet Three-Dimensional Printing , 2014 .

[3]  Lee Sang-Hoon,et al.  Sn-2Ag-3Bi-xInはんだの融点,ドロス,酸化特性に与えるインジウム含有量の効果 | 文献情報 | J-GLOBAL 科学技術総合リンクセンター , 2013 .

[4]  James P. Schmiedeler,et al.  Design of Crashworthy Structures With Controlled Energy Absorption in the Hybrid Cellular Automaton Framework , 2013 .

[5]  Kaufui Wong,et al.  A Review of Additive Manufacturing , 2012 .

[6]  Shiwei Zhou,et al.  Designing orthotropic materials for negative or zero compressibility , 2014 .

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

[8]  J. Petersson,et al.  Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima , 1998 .

[9]  J. Lewis,et al.  3D Printing of Interdigitated Li‐Ion Microbattery Architectures , 2013, Advanced materials.

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

[11]  Mitsuru Kitamura,et al.  Porous composite with negative thermal expansion obtained by photopolymer additive manufacturing , 2015, 1504.07724.

[12]  J. Lewis,et al.  Conformal Printing of Electrically Small Antennas on Three‐Dimensional Surfaces , 2011, Advanced materials.

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

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

[15]  Muniyasamy Kalanchiam,et al.  Application of Topology Optimization Techniques in Aircraft Design , 2009 .

[16]  Nielen Stander,et al.  A Topology Optimization Tool for LS-DYNA Users: LS-OPT/Topology , 2009 .

[17]  Hod Lipson,et al.  Freeform fabrication and characterization of Zn‐air batteries , 2008 .

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

[19]  Jae-Won Choi,et al.  Direct-Write Stretchable Sensors Using Single-Walled Carbon Nanotube/Polymer Matrix , 2013 .

[20]  Narayanan Pagaldipti,et al.  Influence of Inertia Relief on Optimal Designs , 2004 .

[21]  Shikui Chen,et al.  A MATLAB Code for Integrated Additive Manufacturing and Level-Set Based Topology Optimization , 2016, DAC 2016.

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

[23]  Gary Quinn,et al.  Full Automobile Topology Design Optimized to Maximize Structural Stiffness Subject to Multiple Static Load Cases Including Inertial Relief , 2010 .

[24]  Jouke Verlinden,et al.  Optimal Design for Additive Manufacturing: Opportunities and Challenges , 2011 .

[25]  O. Sigmund,et al.  Design of manufacturable 3D extremal elastic microstructure , 2014 .

[26]  Gyung-Jin Park,et al.  Structural optimization under equivalent static loads transformed from dynamic loads based on displacement , 2001 .

[27]  G. Allaire,et al.  Structural optimization using sensitivity analysis and a level-set method , 2004 .

[28]  Glaucio H. Paulino,et al.  Bridging topology optimization and additive manufacturing , 2015, Structural and Multidisciplinary Optimization.

[29]  R. Singer,et al.  Design of Auxetic Structures via Mathematical Optimization , 2011, Advanced materials.

[30]  Ren-Jye Yang,et al.  Automotive applications of topology optimization , 1995 .

[31]  C. Felser,et al.  Charge carrier concentration optimization of thermoelectric p-type half-Heusler compounds , 2015 .

[32]  Eleonora Atzeni,et al.  Economics of additive manufacturing for end-usable metal parts , 2012 .

[33]  Joseph A. Wolf,et al.  The Use of Inertia Relief to Estimate Impact Loads , 1977 .

[34]  João Folgado,et al.  How Topology Optimization Changed the Design Process , 2006 .

[35]  L. Murr,et al.  Metal Fabrication by Additive Manufacturing Using Laser and Electron Beam Melting Technologies , 2012 .

[36]  John E. Renaud,et al.  Crashworthiness Design Using Topology Optimization , 2009 .

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

[38]  Martin Leary,et al.  Optimal topology for additive manufacture: A method for enabling additive manufacture of support-free optimal structures , 2014 .

[39]  Lin Liao,et al.  A Study of Inertia Relief Analysis , 2011 .

[40]  Samuel B. Kesner,et al.  Design Principles for Rapid Prototyping Forces Sensors Using 3-D Printing , 2011, IEEE/ASME Transactions on Mechatronics.

[41]  Gyung-Jin Park,et al.  Technical overview of the equivalent static loads method for non-linear static response structural optimization , 2011 .

[42]  Sang-Hoon Lee,et al.  Level set based robust shape and topology optimization under random field uncertainties , 2010 .

[43]  Mohsen Badrossamay,et al.  Topology Optimization for Fused Deposition Modeling Process , 2013 .

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