Experience With Response Surface Methods for Occupant Restraint System Design 2005-01-1306
Response surface methodologies (RSMs) have been proposed as surrogate models in vehicle design processes to gain insight and improve turnaround time for optimization and robust design. However, when studying the vehicle occupants during crash events, nonlinearities in responses, coupled with the relatively high dimensionality of vehicle design, can yield misleading results with little or no warning from the response surface algorithms. To ensure the accuracy and reliability of RSMs, fast and dependable error estimation procedures are essential for enlightening how well a response surface predicts highly nonlinear phenomena, given a limited number of model simulations. Such error estimation methods are also useful for providing guidance on how many simulation runs are needed for reliable RSM construction. In this paper, a fast cross validation error estimate procedure is first presented, applied to the multivariable adaptive regression spline (MARS) response surface method. The fast error estimation procedure is then compared to a more thorough and time-consuming validation procedure. Several types of occupant restraint system models, such as belted and unbelted cases and 5th and 50th percentile occupants, are considered. Finally, an error reduction approach which employs a more computationally expensive Kriging RSM instead of MARS is investigated. Throughout, guidelines and thumb-rules for applying MARS and other RSMs to occupant crash models are proposed.
Citation: Kachnowski, B. and Fu, Y., "Experience With Response Surface Methods for Occupant Restraint System Design," SAE Technical Paper 2005-01-1306, 2005, https://doi.org/10.4271/2005-01-1306. Download Citation
Author(s):
Brian Kachnowski, Yan Fu
Affiliated:
Ford Motor Company
Pages: 26
Event:
SAE 2005 World Congress & Exhibition
ISSN:
0148-7191
e-ISSN:
2688-3627
Also in:
Occupant Safety, Safety-Critical Systems, and Crashworthiness-SP-1923, SAE 2005 Transactions Journal of Passenger Cars: Mechanical Systems-V114-6
Related Topics:
Design processes
Restraint systems
Vehicle occupants
Simulation and modeling
Identification numbers
Mathematical models
Optimization
Splines
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