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CRASHWORTHINESS OPTIMIZATION USING A SURROGATE APPROACH BY STOCHASTIC RESPONSE SURFACE

机译:使用随机响应表面的替代方法对世界各地的购物场所进行优化

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摘要

In the automotive passive safety field, numerical simulations gradually replace experimental crash-tests, and allow through parametric studies an improved definition of the architecture and the sizing of vehicles. In this context, this paper is focused on a methodology for crash-worthiness optimization. After a review of difficulties inherent to the numerical modeling, we propose a global optimization strategy based on a surrogate approach : the resolution of the real optimization problem is replaced by a sequence of resolutions of approximate problems. An interpolation model is adopted in order to smoothen the objective function and constraints and to enable the analytical calculations of their gradients. The response surface model is build by a stochastic process. Unlike traditional techniques of construction of polynomial response surfaces by least squares regression, the approach developed, based on SPH (smooth particle hydrodynamics) methods, makes it possible to reproduce strong non-linearities of the objective functions and limiting constraints. Moreover, the flexibility of these models allows the updating of the approximation during the optimization process, which makes it possible to improve locally the quality of the approximations. We compare the quality of the approximations for various types of optimal design of experiments.
机译:在汽车被动安全领域,数值模拟逐渐取代了实验性的碰撞试验,并通过参数研究使车辆的结构和尺寸得到了更好的定义。在这种情况下,本文重点介绍了耐撞性优化方法。在回顾了数值建模固有的困难之后,我们提出了一种基于替代方法的全局优化策略:将实际优化问题的解决方案替换为一系列近似问题的解决方案。采用插值模型是为了平滑目标函数和约束条件,并能够对其梯度进行解析计算。响应面模型是通过随机过程构建的。与通过最小二乘回归构造多项式响应面的传统技术不同,基于SPH(平滑粒子流体动力学)方法开发的方法可以重现目标函数的强非线性和限制约束。此外,这些模型的灵活性允许在优化过程中更新近似值,这使得可以局部提高近似值的质量。我们比较了各种优化设计实验的近似质量。

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