This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Kriging-Assisted Structural Design for Crashworthiness Applications Using the Extended Hybrid Cellular Automaton (xHCA) Framework
Technical Paper
2020-01-0627
ISSN: 0148-7191, e-ISSN: 2688-3627
This content contains downloadable datasets
Annotation ability available
Sector:
Language:
English
Abstract
The Hybrid Cellular Automaton (HCA) algorithm is a generative design approach used to synthesize conceptual designs of crashworthy vehicle structures with a target mass. Given the target mass, the HCA algorithm generates a structure with a specific acceleration-displacement profile. The extended HCA (xHCA) algorithm is a generalization of the HCA algorithm that allows to tailor the crash response of the vehicle structure. Given a target mass, the xHCA algorithm has the ability to generate structures with different acceleration-displacement profiles and target a desired crash response. In order to accomplish this task, the xHCA algorithm includes two main components: a set of meta-parameters (in addition target mass) and surrogate model technique that finds the optimal meta-parameter values. This work demonstrates the capabilities of the xHCA algorithm tailoring acceleration and intrusion through the use of one meta-parameter (design time) and the use of Kriging-assisted optimization. The numerical example of B-pillar under a side rigid wall impact is used to illustrate the targeting capability of the xHCA using the proposed method. Optimal design parameters, namely, design time and target mass (volume fraction), are predicted by the Kriging-assisted algorithm. In this approach, the Kriging model is iteratively updated by adding linearly interpolated designs that minimize the distance with the target crash response. The accuracy of the different targeting methods and their computation costs are compared. In order to generate the initial Kriging model, two set of sample sizes are compared in this work. The first samples size consists of 24 initial crash simulations. The second sample size consists of only four initial simulations. While the fewer number of initial simulations require more iterations to converge, the overall computational cost is lower.
Authors
Citation
Raeisi, S., Tovar, A., Mozumder, C., and Xu, S., "Kriging-Assisted Structural Design for Crashworthiness Applications Using the Extended Hybrid Cellular Automaton (xHCA) Framework," SAE Technical Paper 2020-01-0627, 2020, https://doi.org/10.4271/2020-01-0627.Data Sets - Support Documents
Title | Description | Download |
---|---|---|
Unnamed Dataset 1 | ||
Unnamed Dataset 2 |
Also In
References
- Zhang , S. et al. Adaptive Multi-Point Sequential Sampling Methodology for High-Dimensional and Highly Nonlinear Crashworthiness Optimization Problems 231 10 1816 1825 2017
- Fang , Y. et al. Automotive Crashworthiness Design Optimization Based on Efficient Global Optimization Method SAE Technical Paper 2018-01-1029 2018 https://doi.org/10.4271/2018-01-1029
- Gao , F.L. et al. A Time-Space Kriging-Based Sequential Metamodeling Approach for Multi-Objective Crashworthiness Optimization Applied Mathematical Modelling 69 378 404 2019
- Pedersen , C.B. Topology Optimization of 2D-Frame Structures with Path-Dependent Response International Journal for Numerical Methods in Engineering 57 10 1471 1501 2003
- Pedersen , C.B. Crashworthiness Design of Transient Frame Structures Using Topology Optimization Computer Methods in Applied Mechanics and Engineering 193 6-8 653 678 2004
- Lee , S.-J. et al. Design Flow for the Crash Box in a Vehicle to Maximize Energy Absorption Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 227 2 179 200 2013
- Park , K. , Lee , J. , and Park , G. Structural Shape Optimization Using Equivalent Static Loads Transformed from Dynamic Loads International Journal for Numerical Methods in Engineering 63 4 589 602 2005
- Kaushik , A. and Ramani , A. Topology Optimization for Nonlinear Dynamic Problems: Considerations for Automotive Crashworthiness Engineering Optimization 46 4 487 502 2014
- Motamarri , P. , Ramani , A. , and Kaushik , A. Structural Topology Synthesis with Dynamics and Nonlinearities Using Equivalent Linear Systems Structural and Multidisciplinary Optimization 45 4 545 558 2012
- Ahmad , Z. et al. Nonlinear Response Topology Optimization Using Equivalent Static Loads-Case Studies Engineering Optimization 49 2 252 268 2017
- Tian , L. and Gao , Y. Crashworthiness Design of Automotive Body in White Using Topology Optimization SAE Technical Paper 2016-01-1535 2016 https://doi.org/10.4271/2016-01-1535
- Huang , X. and Xie , Y. Topology Optimization of Nonlinear Structures under Displacement Loading Engineering Structures 30 7 2057 2068 2008
- Jung , D. and Gea , H.C. Topology Optimization of Nonlinear Structures Finite Elements in Analysis and Design 40 11 1417 1427 2004
- Mayer , R.R. , Kikuchi , N. , and Scott , R.A. Application of Topological Optimization Techniques to Structural Crashworthiness International Journal for Numerical Methods in Engineering 39 8 1383 1403 1996
- Bandi , P. 2012
- Forsberg , J. and Nilsson , L. Topology Optimization in Crashworthiness Design Structural and Multidisciplinary Optimization 33 1 1 12 2007
- Mozumder , C. , Renaud , J.E. , and Tovar , A. Topometry Optimisation for Crashworthiness Design Using Hybrid Cellular Automata International Journal of Vehicle Design 60 1/2 100 120 2012
- Patel , N.M. et al. Comparative Study of Topology Optimization Techniques AIAA Journal 46 8 1963 1975 2008
- Shinde , S. et al. Structural Optimization of Thin-Walled Tubular Structures for Progressive Buckling Using Compliant Mechanism Approach SAE Int. J. Passeng. Cars-Mech. Syst. 6 1 109 120 2013 https://doi.org/10.4271/2013-01-0658
- Soto , C.A. Optimal Structural Topology Design for Energy Absorption: A Heurtistic Approach Proceedings of the ASME 2001 Design Engineering and Technical Conferences 2001
- Soto , C.A. Structural Topology Design Optimization for Controlled Crash Behavior ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2003
- Tovar , A. et al. Optimality Conditions of the Hybrid Cellular Automata for Structural Optimization AIAA Journal 45 3 673 683 2007
- Tovar , A. et al. Topology Optimization Using a Hybrid Cellular Automaton Method with Local Control Rules Journal of Mechanical Design 128 6 1205 1216 2006
- Raeisi , S. et al. Multi-Material Topology Optimization for Crashworthiness Using Hybrid Cellular Automata SAE Technical Paper 2019-01-0826 2019 https://doi.org/10.4271/2019-01-0826
- Penninger , C.L. et al. 2009
- Tovar , A. and Khandelwal , K. Topology Optimization for Minimum Compliance Using a Control Strategy Engineering Structures 48 1 674 682 2013
- Guo , L.S. et al. Multidomain Topology Optimization for Crashworthiness Based on Hybrid Cellular Automata Key Engineering Materials Trans Tech Publ. 2011
- Patel , N.M. et al. Crashworthiness Design Using Topology Optimization Journal of Mechanical Design 131 6 061013 2009
- Tapkir , P. 2017
- Bandi , P. , Schmiedeler , J.P. , and Tovar , A. Design of Crashworthy Structures with Controlled Energy Absorption in the Hybrid Cellular Automaton Framework Journal of Mechanical Design 135 9 091002 2013
- Mozumder , C. et al. Thickness Based Topology Optimization for Crashworthiness Design Using Hybrid Cellular Automata 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference 2008
- Duddeck , F. et al. Topology Optimization for Crashworthiness of Thin-Walled Structures under Axial Impact Using Hybrid Cellular Automata Structural and Multidisciplinary Optimization 54 3 415 428 2016
- Zeng , D. and Duddeck , F. Improved Hybrid Cellular Automata for Crashworthiness Optimization of Thin-Walled Structures Structural and Multidisciplinary Optimization 56 1 101 115 2017
- Raeisi , S. et al. Design for Crashworthiness of Vehicle Structures Using an Extended Hybrid Cellular Automaton Method SAE Technical Paper 2019-01-0842 2019 https://doi.org/10.4271/2019-01-0842
- Fang , H. et al. A Comparative Study of Metamodeling Methods for Multiobjective Crashworthiness Optimization Computers & Structures 83 25 2121 2136 2005
- Forsberg , J. and Nilsson , L. On Polynomial Response Surfaces and Kriging for Use in Structural Optimization of Crashworthiness Structural and Multidisciplinary Optimization 29 3 232 243 2005
- Fang , J. et al. Crashworthiness Design of a Steel-Aluminum Hybrid Rail Using Multi-Response Objective-Oriented Sequential Optimization Advances in Engineering Software 112 192 199 2017
- Osio , I.G. and Amon , C.H. An Engineering Design Methodology with Multistage Bayesian Surrogates and Optimal Sampling 8 4 189 206 1996
- Gu , L. et al. Optimisation and Robustness for Crashworthiness of Side Impact 26 4 348 360 2001
- Wang , H. et al. Development of Metamodeling Based Pptimization System for High Nonlinear Engineering Problems Advances in Engineering Software 39 8 629 645 2008
- Stander , N. et al. A Comparison of Metamodeling Techniques for Crashworthiness Optimization 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference
- Tovar , A. et al. Topology Optimization Using a Hybrid Cellular Automation Method with Local Control Rules Journal of Mechanical Design, Transactions of the ASME 128 6 1205 1216 2006
- Mozumder , C. et al. Thickness Based Topology Optimization for Crashworthiness Design Using Hybrid Cellular Automata 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference 2008
- Gao , Y. and Sun , F. Multi-Disciplinary Optimisation for Front Auto Body Based on Multiple Optimisation Methods 57 2-3 178 195 2011
- Fang , J. et al. Crashworthiness Design of Foam-Filled Bitubal Structures with Uncertainty 67 120 132 2014
- Etikan , I. et al. Comparison of Convenience Sampling and Purposive Sampling 5 1 1 4 2016
- Teddlie , C. and Yu , F. Mixed Methods Sampling: A Typology with Examples 1 1 77 100 2007