Topological configuration analysis and design for foam filled multi-cell tubes

Abstract Foam filled multi-cell tubes have attracted much attention recently because of their exceptional advantages in energy absorption characteristics and lightweight. The study aims to explore the effects of cross-sectional configurations, including topological distribution of empty and foam-filler in the multi-cell tube, on the crashworthiness; and further optimizing the wall thickness and foam density. First, the coupled finite element method (FEM) and element free Galerkin method (EFGM) were adopted to model the foam filled multi-cell tubes. Second, the multi-criteria decision making method, namely COPRAS (complex proportional assessment), was used to rank the energy absorption characteristics of the considered foam filled multi-cell tubes with different topological configurations. The results show that the five-cell tube with four cells in the corners filled with forms was the best choice compared with the other topological configurations for the given design domain. Finally, the discrete optimization based on successive orthogonal arrays was employed to conduct the topological design of foam filled multi-cell tubes for maximizing the specific energy absorption (SEA) under the constraint of the global peak crushing force (GPCF). The results showed that the SEA of the optimized design is about 6.15% higher than the best choice from COPRAS analysis within the GPCF constraint, which demonstrated that the proposed approaches can be an effective tool for crashworthiness topology optimization of foam filled multi-cell tubes.

[1]  Xin Wu,et al.  Crashworthiness analysis and optimization of fourier varying section tubes , 2017 .

[2]  TrongNhan Tran,et al.  Crushing analysis of multi-cell thin-walled rectangular and square tubes under lateral loading , 2017 .

[3]  Z. Jianping,et al.  Transient heat transfer analysis of anisotropic material by using Element-Free Galerkin method , 2017 .

[4]  Zonghua Zhang,et al.  Analysis of energy absorption characteristics of cylindrical multi-cell columns , 2013 .

[5]  O. Hopperstad,et al.  Validation of constitutive models applicable to aluminium foams , 2002 .

[6]  Qing Li,et al.  Robust optimization of foam-filled thin-walled structure based on sequential Kriging metamodel , 2014 .

[7]  Kwon-Hee Lee,et al.  Discrete post process of the constrained size optimization using orthogonal arrays , 1996 .

[8]  Hui Zhang,et al.  Axial crushing of embedded multi-cell tubes , 2017 .

[9]  Hui Zhang,et al.  Energy absorption of multi-cell stub columns under axial compression , 2013 .

[10]  Hongwei Song,et al.  Partition Energy Absorption of Axially Crushed Aluminum Foam-Filled Hat Sections , 2005 .

[11]  Prasenjit Chatterjee,et al.  Material selection using preferential ranking methods , 2012 .

[12]  Matej Vesenjak,et al.  Dynamic and quasi-static bending behaviour of thin-walled aluminium tubes filled with aluminium foam , 2014 .

[13]  Z. Jianping,et al.  Steady heat transfer analysis of orthotropic structure based on Element-Free Galerkin method , 2017 .

[14]  O. Hopperstad,et al.  Static and dynamic crushing of square aluminium extrusions with aluminium foam filler , 2000 .

[15]  O. Hopperstad,et al.  Aluminum foam-filled extrusions subjected to oblique loading: experimental and numerical study , 2004 .

[16]  F. Tarlochan,et al.  Collapse behavior of thin-walled corrugated tapered tubes , 2017 .

[17]  A. A. Nia,et al.  Comparative analysis of energy absorption capacity of simple and multi-cell thin-walled tubes with triangular, square, hexagonal and octagonal sections , 2014 .

[18]  Qiang Gao,et al.  Optimization of foam-filled double ellipse tubes under multiple loading cases , 2016, Adv. Eng. Softw..

[19]  Mohammad Hassan Shojaeefard,et al.  Theoretical development and numerical investigation on energy absorption behavior of tapered multi-cell tubes , 2016 .

[20]  Guoxing Lu,et al.  Quasi-static axial compression of thin-walled tubes with different cross-sectional shapes , 2013 .

[21]  Claudio Amadio,et al.  Dynamic and static identification of base-isolated bridges using Genetic Algorithms , 2015 .

[22]  Zhijun Zheng,et al.  Crashworthiness of foam-filled thin-walled circular tubes under dynamic bending , 2013 .

[23]  Guilin Wen,et al.  Crashworthiness optimization design for foam-filled multi-cell thin-walled structures , 2014 .

[24]  M. D. Goel.  Deformation, energy absorption and crushing behavior of single-, double- and multi-wall foam filled square and circular tubes , 2015 .

[25]  Guilin Wen,et al.  Multi-objective robust optimization of foam-filled bionic thin-walled structures , 2016 .

[26]  Qiang Gao,et al.  Crushing analysis and multiobjective crashworthiness optimization of foam-filled ellipse tubes under oblique impact loading , 2016 .

[27]  TrongNhan Tran,et al.  Crushing and theoretical analysis of multi-cell thin-walled triangular tubes under lateral loading , 2017 .

[28]  Jianguang Fang,et al.  A new multi-objective discrete robust optimization algorithm for engineering design , 2018 .

[29]  Edmundas Kazimieras Zavadskas,et al.  Multicriteria selection of project managers by applying grey criteria , 2008 .

[30]  Qing Li,et al.  Crushing analysis of foam-filled single and bitubal polygonal thin-walled tubes , 2014 .

[31]  A. Hamouda,et al.  Design of thin wall structures for energy absorption applications: Enhancement of crashworthiness due to axial and oblique impact forces , 2013 .

[32]  Yufeng Deng,et al.  Multiobjective optimization for foam-filled multi-cell thin-walled structures under lateral impact , 2015 .

[33]  Murat Altin,et al.  The effect of percent foam fill ratio on the energy absorption capacity of axially compressed thin-walled multi-cell square and circular tubes , 2017 .

[34]  Peijun Wang,et al.  Buckling behaviors of section aluminum alloy columns under axial compression , 2015 .

[35]  Qing Li,et al.  On functionally graded composite structures for crashworthiness , 2015 .

[36]  Yong Guo,et al.  A Coupled Meshfree/Finite Element Method for Automotive Crashworthiness Simulations , 2009 .

[37]  Jianguang Fang,et al.  On design optimization for structural crashworthiness and its state of the art , 2017 .

[38]  Guangyao Li,et al.  Discrete robust optimization algorithm based on Taguchi method for structural crashworthiness design , 2015, Expert Syst. Appl..

[39]  Wei Li,et al.  Crashworthiness design for foam filled thin-wall structures , 2009 .

[40]  E. Zavadskas,et al.  A complex proportional assessment method for group decision making in an interval-valued intuitionistic fuzzy environment , 2013 .

[41]  Qing Li,et al.  Parametric analysis and multiobjective optimization for functionally graded foam-filled thin-wall tube under lateral impact , 2014 .

[42]  Norman Jones,et al.  Dynamic progressive buckling of circular and square tubes , 1986 .

[43]  Jianguang Fang,et al.  Configurational optimization of multi-cell topologies for multiple oblique loads , 2018 .

[44]  Qing Li,et al.  Theoretical, numerical, and experimental study on laterally variable thickness (LVT) multi-cell tubes for crashworthiness , 2016 .

[45]  M. Attia,et al.  Nonlinear finite element analysis of the crush behaviour of functionally graded foam-filled columns , 2012 .

[46]  Shiwei Zhou,et al.  Crashworthiness design for functionally graded foam-filled thin-walled structures , 2010 .

[47]  Jianguang Fang,et al.  On design of multi-cell tubes under axial and oblique impact loads , 2015 .

[48]  O. Hopperstad,et al.  Constitutive modeling of aluminum foam including fracture and statistical variation of density , 2003 .

[49]  Rajesh Attri,et al.  Cutting-fluid selection using complex proportional assessment method , 2014 .

[50]  Qiang Liu,et al.  Experimental study on crashworthiness of empty/aluminum foam/honeycomb-filled CFRP tubes , 2016 .

[51]  Qing Li,et al.  Design of transversely-graded foam and wall thickness structures for crashworthiness criteria , 2016 .

[52]  Prasenjit Chatterjee,et al.  Materials selection using complex proportional assessment and evaluation of mixed data methods , 2011 .

[53]  Xiong Zhang,et al.  Axial crushing of circular multi-cell columns , 2014 .

[54]  Qing Li,et al.  On design of multi-cell thin-wall structures for crashworthiness , 2016 .