Premium
Worst‐case design in head impact crashworthiness optimization
Author(s) -
Craig K. J.,
Stander Nielen,
Balasubramanyam Suri
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.704
Subject(s) - crashworthiness , maximization , mathematical optimization , automotive industry , minification , variable (mathematics) , benchmark (surveying) , noise (video) , integer (computer science) , design of experiments , head (geology) , integer programming , optimization problem , computer science , mathematics , engineering , structural engineering , finite element method , statistics , mathematical analysis , geodesy , geomorphology , artificial intelligence , geology , geography , image (mathematics) , programming language , aerospace engineering
This paper describes the solution of a worst‐case design optimization problem of head impact in automotive design. The worst‐case design process uses an optimization algorithm that can locate saddlepoints: points in the design space where the objective function is maximized with respect to some design variables (worst case) while it is minimized with respect to other design variables simultaneously. The worst‐case design methodology is first tested using two analytic functions. Both functions contain saddlepoints, while the second one also has a random analytic noise component and an integer variable. Thereafter, the methodology is applied to the worst‐case design of a crashworthiness head impact problem. The head impact problem contains both numerical noise and an integer variable. For the first analytical case, the effect of separability of the maximization and minimization variables is investigated by rotating the design variable axes. For the second analytical case, analytical noise in the form of a modified Griewank function and an integer variable is added. For the head impact problem, cases are presented where maximization and minimization are first performed separately, and then in a combined fashion to locate the saddle point. The case studies illustrate the power of this approach in the automotive occupant safety design field. Copyright © 2003 John Wiley & Sons, Ltd.