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Innovative multilevel techniques for structural optimization

机译:用于结构优化的创新多级技术

摘要

We address the structural optimization problem of sizing an aircraft fuselage. The problem consists in computing the dimensions of the dierent elements constituting a fuselage mini- mizing the total mass subject to some mechanical constraints. Mathematically, the problem may be formulated as a very large nonlinear optimization problem subjected to several non- linear inequality constraints. We show that this problem possesses a natural hierarchical structure that can be exploited by a multilevel approach. This approach is innovative in the industrial sector and represents a promising alternative to the commonly employed decom- position strategies. Hence, we propose a multilevel procedure which embeds the Recursive Multilevel Trust Region method [1] into an Augmented Lagrangian framework. Some results on both academic and industrial test cases are presented.
机译:我们解决了飞机机身尺寸的结构优化问题。问题在于计算构成机身的不同元件的尺寸,使受到某些机械约束的总质量最小化。从数学上讲,该问题可以表述为受几个非线性不等式约束的非常大的非线性优化问题。我们表明,此问题具有自然的层次结构,可以通过多层次方法加以利用。这种方法在工业领域是创新的,代表了常用分解策略的有前途的替代方法。因此,我们提出了一个多层程序,该程序将递归多层信任区方法[1]嵌入到增强拉格朗日框架中。给出了关于学术和工业测试用例的一些结果。

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