A discourse on the stability conditions for mixed finite element formulations
Computer Methods in Applied Mechanics and Engineering
Design and Analysis of Experiments
Design and Analysis of Experiments
Widely convergent method for finding multiple solutions of simultaneous nonlinear equations
IBM Journal of Research and Development
A generic optimizer interface for programming-free optimization systems
Advances in Engineering Software
Optimal crashworthiness design of a spot-welded thin-walled hat section
Finite Elements in Analysis and Design
Design optimization of regular hexagonal thin-walled columns with crashworthiness criteria
Finite Elements in Analysis and Design
Optimum design of straight thin-walled box section beams for crashworthiness analysis
Finite Elements in Analysis and Design
A generic optimizer interface for programming-free optimization systems
Advances in Engineering Software
Metamodel-based lightweight design of B-pillar with TWB structure via support vector regression
Computers and Structures
Optimal crashworthiness design of a spot-welded thin-walled hat section
Finite Elements in Analysis and Design
Evolutionary Model Type Selection for Global Surrogate Modeling
The Journal of Machine Learning Research
Modeling and optimization of foam-filled thin-walled columns for crashworthiness designs
Finite Elements in Analysis and Design
Various approaches for constructing an ensemble of metamodels using local measures
Structural and Multidisciplinary Optimization
A comparative study of metamodeling methods considering sample quality merits
Structural and Multidisciplinary Optimization
Crashworthiness design of vehicle by using multiobjective robust optimization
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
Finite Elements in Analysis and Design
A method for selecting surrogate models in crashworthiness optimization
Structural and Multidisciplinary Optimization
Comparative study of metamodeling techniques for reliability analysis using evidence theory
Advances in Engineering Software
Structural and Multidisciplinary Optimization
Interval multi-objective optimisation of structures using adaptive Kriging approximations
Computers and Structures
Structural and Multidisciplinary Optimization
Crashworthiness design of multi-component tailor-welded blank (TWB) structures
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
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The response surface methodology (RSM), which typically uses quadratic polynomials, is predominantly used for metamodeling in crashworthiness optimization because of the high computational cost of vehicle crash simulations. Research shows, however, that RSM may not be suitable for modeling highly nonlinear responses that can often be found in impact related problems, especially when using limited quantity of response samples. The radial basis functions (RBF) have been shown to be promising for highly nonlinear problems, but no application to crashworthiness problems has been found in the literature. In this study, metamodels by RSM and RBF are used for multiobjective optimization of a vehicle body in frontal collision, with validations by finite element simulations using the full-scale vehicle model. The results show that RSM is able to produce good approximation models for energy absorption, and the model appropriateness can be well predicted by ANOVA. However, in the case of peak acceleration, RBF is found to generate better models than RSM based on the same number of response samples, with the multiquadric function identified to be the most stable RBF. Although RBF models are computationally more expensive, the optimization results of RBF models are found to be more accurate.