The Application of Optimization Techniques to Problems of Automotive Crashworthiness

Bennett, James A.; Lin, Kuang-Huei; Nelson, Mark F.

doi:10.4271/770608

Cited by 10 publications

(7 citation statements)

References 1 publication

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“…If the analysis results fˆ[ f (1) , f (2) , …, f (P) ] at carefully selected P design points (P 5 L) are known, the unknown tuning parameters aˆ[a 1 , a 2 , …, a L ] can be easily determined from the least-squares error. Minimization of the sum of the error terms E(a),…”

Section: Construction Of Approximations By Rsmmentioning

confidence: 99%

Design optimization of multi-body systems under impact loading by response surface methodology

Kurtaran

Eskandarian

2001

Proceedings of the Institution of Mechanical Engineers, Part K:

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Design optimization of multi-body systems is challenged by the highly non-linear and computationally expensive (for large-scale systems) nature of many multi-body responses. In this paper, a sequential approximate optimization method is presented in order to achieve accurate and ef cient design optimization of multi-body systems under impact loads. The sequential approximate optimization method is obtained by coupling a conventional optimization algorithm with a statistical model building technique, response surface methodology (RSM). In this method, a multi-body optimization problem is approximated as a series of simpler subproblems, using RSM and a genetic algorithm, before it is solved by a numerical optimization algorithm. The approximate optimization method is applied to several multi-body impact problems. These include a linear impact absorber and lumped-mass systems representing simpli ed vehicle-barrier and vehicle-vehicle frontal impacts. The effect of the choice of various approximation methods is also addressed. The results demonstrate that the use of RSM coupled with conventional optimization methods leads to ef cient and effective design tools for multi-body systems under impacts.

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Section: Construction Of Approximations By Rsmmentioning

confidence: 99%

Design optimization of multi-body systems under impact loading by response surface methodology

Kurtaran

Eskandarian

2001

Proceedings of the Institution of Mechanical Engineers, Part K:

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“…In addition previous work has focused on structural models almost exclusively. Bennett et al (1977) used a lumped parameter model and a feasible directions algorithm to find feasible designs. Song (1986) and Lust (1992) have used a hybrid approach with a simple approximation strategy to create explict subproblems that were then handled by a feasible directions algorithm.…”

Section: Introductionmentioning

confidence: 99%

“…These articles also discussed one of the fundamental difficulties with attempting formal optimization approaches with this class of problems. Figure 3, reproduced from Bennett et al (1977) representing response quantities as functions of a design variable, clearly shows the nonlinearities in the system. Some of the nonlinearities are abrupt enough that the notion of a derivative is questionable.…”

Section: Introductionmentioning

confidence: 99%

Automotive Occupant Dynamics Optimization

Bennett

Park

1995

Shock and Vibration

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One of the more difficult optimal design tasks occurs when the data describing the system to be optimized is either highly nonlinear or noisy or both. This situation arises when trying to design restraint systems for automotive crashworthiness using the traditional lumped parameter analysis methods. The nonlinearities in the response can come from either abrupt changes in the occupants interaction with the interior or from relatively minor fluctuation in the response due to the interactions of two restraint systems such as belts and airbags. In addition the calculated response measures are usually highly nonlinear functions of the accelerations. Two approaches using an approximate problem formulation strategy are proposed. One approach uses a first-order approximation based on finite difference derivatives with a nonlocal step size. The second and more effective approach uses a second-order curve fitting strategy. Successful example problems of up to 16 design variables are demonstrated. A conservative design strategy using a derivative-based constraint padding is also discussed. The approach proves effective because analytical expressions are available for the second-order terms.

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“…Several such criteria, which have been used previously, are used here. These criteria include steering column displacement, total vehicle crush and the vehicle crash severity index (VCSI) (Bennett et al 1977).…”

Section: Crashworthiness Constraintsmentioning

confidence: 99%

“…Design for crashworthiness is, for the most part, done manually. While some work has been done in which formal optimization techniques were coupled with crashworthiness analysis (Bennett et al 1977;Song 1986) the resulting capabilities have not seen widespread use. Here again only part of the design problem was addressed as the elastic loading conditions were not considered.…”

Section: Introductionmentioning

confidence: 99%

Structural optimization with crashworthiness constraints

Lust

1992

Structural Optimization

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An automated structural design methodology has been devised which simultaneously considers design criteria associated with both linear elastic and crashworthiness loading conditions. This method is developed within the context of a nonlinear mathematical programming based structural optimization capability using an efficient two-phased crashworthiness analysis technique. Specially constructed nonlinear approximations for the crashworthiness constraints are employed to further reduce the computational burden during the optimization process. This methodology is demonstrated on an automobile structural design problem. It is shown that more mass efficient designs can be obtained by simultaneously considering elastic and crashworthiness design criteria as compared to a sequential approach in which the structure is first designed for the elastic loads and then modified to satisfy the crashworthiness criteria.

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The Application of Optimization Techniques to Problems of Automotive Crashworthiness

Cited by 10 publications

References 1 publication

Design optimization of multi-body systems under impact loading by response surface methodology

Design optimization of multi-body systems under impact loading by response surface methodology

Automotive Occupant Dynamics Optimization

Structural optimization with crashworthiness constraints

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