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Basis Functions and Their Sensitivity in the Wave-Based Substructuring Approach

机译:基于波基的子结构方法的基本功能及其敏感性

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The Wave-Based Substructuring (WBS), as an alternative to the conventional Component Mode Synthesis (CMS) approaches in structural dynamics, is used to gain dynamical properties of an assembly through spatial coupling of two or more sub-components. The WBS has been recently developed in order to speedup the numerical computations while retaining acceptable accuracy of the results of the assembly. The WBS approach involves calculation, modification and selection of a limited set of basis functions that, in the frequency range of interest, properly describe the behavior of the coupling interface between the subcomponents. This limited set of basis functions is then used in a spatial-domain coupling resulting in a much lower number of equations than one would get in the case of the conventional CMS methods. This feature makes the WBS especially appealing in iterative-based numerical calculations like in structural-dynamic modification studies or in optimization. However, as the basis functions are dependent on the full-assembly's properties, and since these properties are generally changing when there is some modification in one or more sub-components, the issue of robustness of the basis functions is addressed in this paper. The paper also exposes some other issues in the basis-function calculation, namely selection and sensitivity. A new scalar function criterion to asses the quality of synthesis or coupling in general is also proposed. The industrial applicability is demonstrated on an industrial-sized, automotive test case.
机译:基于波的子结构(WBS)作为结构动态的传统分量模式合成(CMS)方法的替代方法,用于通过两个或更多个子组件的空间耦合来获得组件的动态特性。最近,WBS已开发,以便加速数值计算,同时保留组装结果的可接受精度。 WBS方法涉及计算,修改和选择一组有限的基本功能,即在频率范围内正确描述子组件之间的耦合接口的行为。然后在空间域耦合中使用该有限的基础函数,导致比传统CMS方法的情况下的等式数量远低得多。该特征使WBS在结构动态修改研究中或优化中的基于迭代的数值计算中的基于迭代的数值计算中的吸引力。然而,由于基础函数取决于全组装的属性,并且由于在一个或多个子组件中存在一些修改时,由于这些属性通常发生变化,因此本文解决了基本函数的鲁棒性问题。本文还在基础函数计算中公开了一些其他问题,即选择和灵敏度。还提出了一种新的标量函数标准,用于赋予一般的合成或耦合质量。工业实用性在工业大小的汽车测试案件上证明。

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