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Reduction and coupling of substructures via Gram-Schmidt Interface modes

机译：通过Gram-Schmidt界面模式简化和耦合子结构

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摘要

The paper presents a novel reduction method in the class of component mode synthesis techniques. The method is here called Gram-Schmidt Interface (GSI), since it is based on the Gram-Schmidt algorithm. The GSI reduction method addresses problems where the Craig-Bampton reduced order model of a substructure has still a large number of interface degrees of freedom that should be further reduced. Starting from the pre-existing reduction method based on the Characteristic Constraint Modes, the GSI technique goes further, being suitable to reduce a Craig-Bampton model that retains as a master a wide variety of boundary DoFs (interface, active, etc.). The GSI method is here proved to be effective when assembling adjacent substructures having non-compatible meshes at the interfaces. This is possible by performing the interfaces coupling in the modal space of the GSI modes instead in the space of physical degrees of freedom. The technique is here applied to a turbomachinery test case consisting of a blade coupled with a disk's sector treated in cyclic symmetry conditions. It is also demonstrated how the GSI method appears useful in the reduction of cyclic symmetric structures, representing a valid alternative of the method developed by Tran. (C) 2018 Elsevier B.V. All rights reserved.
机译：本文提出了一种新的还原方法，在成分模式合成技术的一类。该方法在此称为Gram-Schmidt接口（GSI），因为它基于Gram-Schmidt算法。 GSI简化方法解决了子结构的Craig-Bampton简化阶模型仍然具有大量应进一步减小的界面自由度的问题。从基于特征约束模式的既有还原方法开始，GSI技术就走得更远，它适合于还原保留多种边界自由度（接口，活动等）为主的Craig-Bampton模型。当组装在界面处具有不兼容网格的相邻子结构时，GSI方法被证明是有效的。通过在GSI模式的模态空间而不是在物理自由度空间中执行接口耦合，这是可能的。该技术在此应用于涡轮机械测试案例，该案例由叶片和在周期性对称条件下处理过的磁盘扇区组成。还证明了GSI方法在减少循环对称结构方面似乎很有用，代表了Tran开发的方法的有效替代方法。 （C）2018 Elsevier B.V.保留所有权利。

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