Design of sandwich panels with truss cores using explicit topology optimization

Abstract Sandwich panels with truss cores (SPTCs) are a class of novel structures with superior load bearing performance. In recent years, many efforts have been made in designing the SPTCs. However, the majority of related researches are conducted under the prespecified structural topologies of the truss cores according to subjective judgment and experience. In this paper, a novel approach under moving morphable components (MMC) based topology optimization framework is proposed for the design of SPTCs. To describe the SPTCs in an explicit and geometrical way, a multi-component topology description function (MCTDF) is developed in both 2D and 3D cases. By optimizing the configurations and layouts of the multi-components, the topological design of SPTCs with better structural performance can be generated. In this regard, the original topology optimization problem is transformed into a parameter optimization problem with only a small number of design variables. To determine the number of beams in truss core, a deletion strategy is proposed to remove the redundant multi-components. The minimum compliance problem subject to structural volume fraction constraint is investigated, and the relevant sensitivity analysis is shown. Both 2D and 3D numerical examples are presented to test the validity and effectiveness of the proposed method.

[1]  Haydn N. G. Wadley,et al.  Cellular Metal Truss Core Sandwich Structures , 2002 .

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

[3]  K. Kang,et al.  A parametric study on compressive characteristics of Wire-woven bulk Kagome truss cores , 2010 .

[4]  Frank W. Zok,et al.  A protocol for characterizing the structural performance of metallic sandwich panels: application to pyramidal truss cores , 2004 .

[5]  Jian Zhang,et al.  A new topology optimization approach based on Moving Morphable Components (MMC) and the ersatz material model , 2016 .

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

[7]  Ole Sigmund,et al.  A 99 line topology optimization code written in Matlab , 2001 .

[8]  Yi Min Xie,et al.  Two-scale dynamic optimal design of composite structures in the time domain using equivalent static loads , 2016 .

[9]  Lorna J. Gibson,et al.  Mechanical behavior of a three-dimensional truss material , 2001 .

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

[11]  Douglas T. Queheillalt,et al.  Shear behavior of aluminum lattice truss sandwich panel structures , 2008 .

[12]  Norman A. Fleck,et al.  Fabrication and structural performance of periodic cellular metal sandwich structures , 2003 .

[13]  Eugenio Dragoni,et al.  Optimal mechanical design of tetrahedral truss cores for sandwich constructions , 2013 .

[14]  Hilary Bart-Smith,et al.  Imperfection sensitivity of pyramidal core sandwich structures , 2007 .

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

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

[17]  Chenguang Huang,et al.  Failure maps and optimal design of metallic sandwich panels with truss cores subjected to thermal loading , 2016 .

[18]  Liang Gao,et al.  Stress‐based multi‐material topology optimization of compliant mechanisms , 2018 .

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

[20]  John W. Hutchinson,et al.  Performance of sandwich plates with truss cores , 2004 .

[21]  Tian Jian Lu,et al.  Experimental and simulated Compressive Properties of Work-Hardened X-Type Lattice Truss Structures , 2012 .

[22]  H. Bart-Smith,et al.  Structural response of pyramidal core sandwich columns , 2007 .

[23]  Kenjiro Terada,et al.  Two‐scale topology optimization for composite plates with in‐plane periodicity , 2018 .

[24]  Zhiping Qiu,et al.  Free vibration analysis and optimization of composite lattice truss core sandwich beams with interval parameters , 2013 .

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

[26]  Zirong Luo,et al.  Novel topological design of 3D Kagome structure for additive manufacturing , 2018 .

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

[28]  Marco Montemurro,et al.  A multi-scale approach for the optimum design of sandwich plates with honeycomb core. Part II: the optimisation strategy , 2014 .

[29]  T. Lu,et al.  Ultralight X-type lattice sandwich structure (I): Concept, fabrication and experimental characterization , 2009 .

[30]  Wen Feng Lu,et al.  Buckling Optimization of Kagome Lattice Cores With Free-form Trusses , 2018 .

[31]  K. Svanberg The method of moving asymptotes—a new method for structural optimization , 1987 .

[32]  Liang Gao,et al.  A new method based on adaptive volume constraint and stress penalty for stress-constrained topology optimization , 2018 .

[33]  Stefanie Chiras,et al.  The structural performance of near-optimized truss core panels , 2002 .

[34]  H. Wadley Multifunctional periodic cellular metals , 2006, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[35]  John W. Hutchinson,et al.  Optimal truss plates , 2001 .

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

[37]  T. Lu,et al.  Design optimization of truss-cored sandwiches with homogenization , 2006 .

[38]  Peter D. Dunning,et al.  Introducing the sequential linear programming level-set method for topology optimization , 2015 .

[39]  N. Fleck,et al.  Collapse of truss core sandwich beams in 3-point bending , 2001 .

[40]  Tian Jian Lu,et al.  A lightweight X-type metallic lattice in single-phase forced convection , 2015 .

[41]  Anthony G. Evans,et al.  Strength optimization of metallic sandwich panels subject to bending , 2005 .

[42]  Xu Guo,et al.  Additive manufacturing oriented design of graded lattice structures through explicit topology optimization , 2017 .

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

[44]  Gengdong Cheng,et al.  Recent development in structural design and optimization , 2010 .

[45]  Anders Clausen,et al.  Efficient topology optimization in MATLAB using 88 lines of code , 2011 .

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

[47]  Stefanie Feih,et al.  Performance of bio-inspired Kagome truss core structures under compression and shear loading , 2014 .

[48]  K. Kang,et al.  Mechanical behavior of sandwich panels with tetrahedral and Kagome truss cores fabricated from wires , 2006 .

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

[50]  Erik Lund,et al.  Topology Optimization - Broadening the Areas of Application , 2005 .