Reduced order modeling for the dynamics of jointed structures through hyper-reduced interface representation
Reduced order modeling for the dynamics of jointed structures through hyper-reduced interface representation
复制标题
通过超简化界面表示对关节结构动力学进行降阶建模
DOI：
10.1016/j.ymssp.2020.107249
复制
发表时间：
2021
影响因子：
8.4
通讯作者：
Brake, Matthew R.W.
中科院分区：
文献类型：
--
作者：
Balaji, Nidish Narayanaa;Dreher, Tobias;Krack, Malte;Brake, Matthew R.W.
一种策略，以开发准确的和计算上听话的关节结构模型是通过超简化表示的界面接触的降阶建模。超约简是指产生自身完整的降阶模型（ROM）的约简技术，即，所有的位移和力都直接在ROM坐标中完全描述。主要集中在涉及小的相对位移接触的应用程序，两个根本不同的方法制定和比较的优点和局限性的适用性。第一种是刚度保持RBE 3约束元素的自适应，第二种是基于重新划分界面的插值方法。虽然RBE 3在文献中被广泛使用，但目前的公式推导出了对接触动力学应用特别有用的刚度保持元素。变换被开发来表达力-位移关系的ROM坐标是全等的（在使用相同的接触模型的意义上），以及一致的（在忠实于所涉及的量的意义上）与高保真度模型相同的结构。这些方法被应用于研究一个三螺栓搭接结构（制动器，制动梁（BRB）基准），已被观察到，以证明特征接触非线性。评估用于超约简的多个策略，包括图划分、有限元粗化和场目标的均匀化，其中一些涉及基于场目标重新网格化/选择片的额外步骤（例如，接触压力）。ROM的性能进行非线性模态分析和计算后验误差度量进行评估。
One strategy to develop both accurate and computationally tractable models of jointed structures is reduced order modeling through hyper-reduced representations of the interfaces in contact. Hyper reduction refers to reduction techniques that result in a Reduced Order Model (ROM) that is complete by itself, i.e., all displacements and forces are fully described in the ROM coordinates directly. Focusing primarily on applications involving small relative displacement contacts, two fundamentally different approaches are formulated and compared for merits and limitations in applicability. The first is an adaptation of the stiffness-preserving RBE3 constraint elements, and the second is an interpolation approach based on remeshing the interface. Although RBE3 is extensively used in the literature, the current formulation derives stiffness preserving elements that are specifically useful for contact dynamics applications. Transformations are developed to express force–displacement relationships in the ROM coordinates that are congruent (in the sense of using the same contact models) as well as consistent (in the sense of being faithful to the quantities involved) with a high-fidelity model of the same structure. These approaches are applied to study a three-bolted lap-joint structure (the Brake-Reuß Beam (BRB) benchmark) that has been observed to demonstrate characteristic contact non-linearities. Multiple strategies for the hyper reduction are evaluated, including graph partitioning, finite element coarsening, and homogenization of field objectives, some of which involve an extra step of remeshing/choosing patches based on a field objective (e.g., contact pressure). The performances of the ROMs are assessed by conducting nonlinear modal analysis and computing a posteriori error metrics.
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DOI：
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发表时间：
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期刊：
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影响因子：
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