Robustness optimization for vehicular crash simulations
Computing in Science and Engineering
Response Surface Methodology: Process and Product in Optimization Using Designed Experiments
Response Surface Methodology: Process and Product in Optimization Using Designed Experiments
A Radial Basis Function Method for Global Optimization
Journal of Global Optimization
A tutorial on support vector regression
Statistics and Computing
Constrained Global Optimization of Expensive Black Box Functions Using Radial Basis Functions
Journal of Global Optimization
Metamodeling using extended radial basis functions: a comparative approach
Engineering with Computers
Modeling and optimization of foam-filled thin-walled columns for crashworthiness designs
Finite Elements in Analysis and Design
Metamodel-based optimization of a control arm considering strength and durability performance
Computers & Mathematics with Applications
A comparative study of metamodeling methods considering sample quality merits
Structural and Multidisciplinary Optimization
Crashworthiness design of multi-component tailor-welded blank (TWB) structures
Structural and Multidisciplinary Optimization
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Despite the rapid growth of computing power and continuing advancements in numerical techniques, significant complexity exists when applying traditional sensitivity based optimization to such highly nonlinear problems as crashworthiness design. As a major alternative, surrogate modeling techniques have proven considerably effective. However the challenge remains how to determine the most suitable surrogate scheme for modeling nonlinear responses and conducting optimization. This paper presents a comparative study on the different surrogate models, such as polynomial response surface (PRS), Kriging (KRG), support vector regression (SVR) and radial basis function (RBF), which have been widely used for a variety of engineering problems, thereby gaining insights into their relative performance and features in computational modeling and design. In this study, a foam-filled tapered thin-walled structure is exemplified. Both the gradient and non-gradient algorithms, specifically sequential quadratic programming (SQP) and particle swarm optimization (PSO), are used for these abovementioned four surrogate models, respectively. The design results demonstrate that simultaneous use of different surrogate models can be essential for both gradient and non-gradient optimization algorithms because they may generate different outcomes in the crashworthiness design.