Design of lightweight structural components for direct digital manufacturing

The rapid growth in direct digital manufacturing technologies has opened the challenge of designing optimal micro-structures for high-performance components. Current topology optimization techniques do not work well for this type of problems and hence in this paper we propose a technique based on an implicit representation of the structural topology. The detailed microstructure is defined by a continuous variable, the size distribution field, defined over the design domain by chosen shape functions. We can optimize the structural topology by optimizing only the weights of the size distribution field and, for any given size distribution, we use standard meshing software to determine the actual detailed micro-structure. We have implemented the optimization loop using commercial CAD and FEA software, running under a genetic algorithm in MATLAB. Application this novel technique to the design of a sandwich beam has produced designs that are superior to any standard solid beam or even optimized truss structure.

[1]  James E. Baker,et al.  Adaptive Selection Methods for Genetic Algorithms , 1985, International Conference on Genetic Algorithms.

[2]  George Gerard,et al.  Minimum weight analysis of compression structures , 1956 .

[3]  R. K. Ursem Multi-objective Optimization using Evolutionary Algorithms , 2009 .

[4]  Ashraf El-Hamalawi,et al.  Mesh Generation – Application to Finite Elements , 2001 .

[5]  Sergio Pellegrino,et al.  Topological Optimization of Compliant Adaptive Wing Structure , 2009 .

[6]  Michael F. Ashby,et al.  Material limits for shape efficiency , 1997 .

[7]  Panos Y. Papalambros,et al.  Panos Papalambros a Survey of Structural Optimization in Mechanical Product Development , 2022 .

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

[9]  Peter J. Fleming,et al.  The MATLAB genetic algorithm toolbox , 1995 .

[10]  Haym Hirsh,et al.  A genetic algorithm for continuous design space search , 1997, Artif. Intell. Eng..

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

[12]  G. Reddy,et al.  Optimally Directed Truss Topology Generation Using Shape Annealing , 1995 .

[13]  Sergio Pellegrino,et al.  Multi-objective optimization of free-form grid structures , 2009 .

[14]  L. Froyen,et al.  Binding Mechanisms in Selective Laser Sintering and Selective Laser Melting , 2004 .

[15]  Kerr-Jia Lu Topology and Dimensional Synthesis of Compliant Mechanisms Using Discrete Optimization , 2006 .

[16]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[17]  Per-Olof Persson,et al.  A Simple Mesh Generator in MATLAB , 2004, SIAM Rev..

[18]  Paul-Louis George,et al.  Mesh Generation and Mesh Adaptivity: Theory and Techniques , 2007 .

[19]  David Cebon,et al.  Materials Selection in Mechanical Design , 1992 .

[20]  S. Kota,et al.  An Effective Method of Synthesizing Compliant Adaptive Structures using Load Path Representation , 2005 .

[21]  Haseung Chung,et al.  Scaling Laws for Melting and Resolidification in Direct Selective Laser Sintering of Metals 322 , 2002 .

[22]  Sridhar Kota,et al.  Topology and Dimensional Synthesis of Compliant Mechanisms Using Discrete Optimization , 2006 .

[23]  Jonathan Cagan,et al.  Innovative dome design: Applying geodesic patterns with shape annealing , 1997, Artificial Intelligence for Engineering Design, Analysis and Manufacturing.

[24]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .