CRASHWORTHINESS DESIGN FOR HONEYCOMB STRUCTURES UNDER AXIAL DYNAMIC LOADING

For a honeycomb structure used for absorbing crash energy and protecting the safety of human or instruments, the bigger the specific energy absorption (SEA) is, the more popular it would be when the peak crushing stress (σp) was retained small enough. In order to improve the energy absorption capacity, crashworthiness optimization for honeycomb structures with various cell specifications are studied in this paper. Detailed numerical models are established for those honeycomb structures by using an explicit finite element method code LS-DYNA. The numerical simulation results are then used as the design samples for constructing metamodels. The optimal Latin hypercube design (OLHD) method is employed for the selection of sampling design points in the design space, and the polynomial functions, radial basis functions (RBF), Kriging, multivariate adaptive regression splines (MARS), and support vector regression (SVR) are utilized to formulate the two optimal objectives SEA and σp. It is found that the polynomial function is the most efficient in constructing the crashworthiness metamodels of honeycombs among the above-mentioned methods. Then, the polynomial function models of SEA and σp are chosen as the surrogate models in the crashworthiness optimization. In order to further validate the polynomial function models, the polynomial function models of SEA and σp are compared with the analytical solutions based on Wierzbicki's theory and Kunimoto and Yamada's theory, respectively. An excellent correlation has been established. As such, the multi-objective particle swarm optimization algorithm (MOPSOA) is applied to obtain the Pareto front of SEA with σp of the honeycomb structures with various cell specifications, which has resulted in a range of optimal designs of honeycomb structures by the multi-objective optimization.

[1]  Larsgunnar Nilsson,et al.  Evaluation of response surface methodologies used in crashworthiness optimization , 2006 .

[2]  Søren Nymand Lophaven,et al.  DACE - A Matlab Kriging Toolbox , 2002 .

[3]  Prospero C. Naval,et al.  An effective use of crowding distance in multiobjective particle swarm optimization , 2005, GECCO '05.

[4]  Hasan Kurtaran,et al.  Crashworthiness design optimization using successive response surface approximations , 2002 .

[5]  Hyoungjoo Lee,et al.  Response modeling with support vector regression , 2008, Expert Syst. Appl..

[6]  T.-L. Lee,et al.  Support vector regression methodology for storm surge predictions , 2008 .

[7]  T. Simpson,et al.  Analysis of support vector regression for approximation of complex engineering analyses , 2005, DAC 2003.

[8]  Lu Wencong,et al.  Support vector regression applied to materials optimization of sialon ceramics , 2006 .

[9]  Hualing Chen,et al.  Investigation on the square cell honeycomb structures under axial loading , 2006 .

[10]  O. Hopperstad,et al.  Static and dynamic axial crushing of square thin-walled aluminium extrusions , 1996 .

[11]  T. Wierzbicki,et al.  Experimental and numerical studies of foam-filled sections , 2000 .

[12]  Han Zhao,et al.  CRUSHING BEHAVIOUR OF ALUMINIUM HONEYCOMBS UNDER IMPACT LOADING , 1998 .

[13]  Martin D. Buhmann,et al.  Radial Basis Functions: Theory and Implementations: Preface , 2003 .

[14]  Sebastian Heimbs,et al.  Virtual testing of sandwich core structures using dynamic finite element simulations , 2009 .

[15]  Qiang Li,et al.  A two-stage multi-objective optimisation of vehicle crashworthiness under frontal impact , 2008 .

[16]  Heung-Soo Kim,et al.  New extruded multi-cell aluminum profile for maximum crash energy absorption and weight efficiency , 2002 .

[17]  G. Gary Wang,et al.  Review of Metamodeling Techniques in Support of Engineering Design Optimization , 2007 .

[18]  Jack P. C. Kleijnen,et al.  Kriging Metamodeling in Simulation: A Review , 2007, Eur. J. Oper. Res..

[19]  Guowei Ma,et al.  Modeling loading rate effect on crushing stress of metallic cellular materials , 2009 .

[20]  Mc Farland,et al.  HEXAGONAL CELL STRUCTURES UNDER POST-BUCKLING AXIAL LOAD , 1963 .

[21]  Takashi Kunimoto,et al.  Study on the buffer characteristics of the honeycomb sandwich construction under dynamic loading. , 1987 .

[22]  T. Wierzbicki,et al.  On the Crushing Mechanics of Thin-Walled Structures , 1983 .

[23]  Tomasz Wierzbicki,et al.  Crushing analysis of metal honeycombs , 1983 .

[24]  Kay Chen Tan,et al.  A Multiobjective Memetic Algorithm Based on Particle Swarm Optimization , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[25]  Wei Li,et al.  Multiobjective optimization of multi-cell sections for the crashworthiness design , 2008 .

[26]  Alessandro Rizzo,et al.  Kriging metamodel management in the design optimization of a CNG injection system , 2009, Math. Comput. Simul..

[27]  J. Friedman Multivariate adaptive regression splines , 1990 .

[28]  Nii O. Attoh-Okine,et al.  Multivariate adaptive regression (MARS) and hinged hyperplanes (HHP) for doweled pavement performance modeling , 2009 .

[29]  T. Wierzbicki,et al.  Relative merits of single-cell, multi-cell and foam-filled thin-walled structures in energy absorption , 2001 .

[30]  Jeong‐Soo Park Optimal Latin-hypercube designs for computer experiments , 1994 .

[31]  Qing Li,et al.  Multiobjective optimization for crash safety design of vehicles using stepwise regression model , 2008 .

[32]  Alastair Johnson,et al.  Numerical modelling of honeycomb core crush behaviour , 2008 .

[33]  Enboa Wu,et al.  AXIAL CRUSH OF METALLIC HONEYCOMBS , 1997 .

[34]  R. L. Hardy Multiquadric equations of topography and other irregular surfaces , 1971 .