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首页> 外文期刊>Mechanical systems and signal processing >Discussion on 'A non-intrusive model-order reduction of geometrically nonlinear structural dynamics using modal derivatives'
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Discussion on 'A non-intrusive model-order reduction of geometrically nonlinear structural dynamics using modal derivatives'

机译：讨论“使用模态衍生物的几何非线性结构动态的非侵入式模型降低”

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摘要

This note is a short discussion of the paper "A Non-Intrusive Model-Order Reduction of Geometrically Nonlinear Structural Dynamics Using Modal Derivatives" in which reduced order models (ROMs) of the dynamic response of structures in the nonlinear geometric regime are constructed. The paper proposes modal derivatives to complement the linear modes for the representation of the structural displacements and compares the corresponding predictions obtained for 3 simple structures to those obtained with the linear modes + dual modes basis initially published about a decade ago. The predictions obtained with the latter bases are shown in the paper to be rather poor in contradiction with the many successful applications of this methodology in the literature. It is shown here that the issue stems in the paper from truncating too early the proper orthogonal decomposition (POD), i.e., taking too few eigenvectors in the dual mode construction. When the POD approximation is conducted normally to convergence, it is found that the ROMs with linear modes + dual modes bases lead to very good predictions of the dynamic response. In fact, this good accuracy is seen to be maintained even when the response level is much larger than the examples shown in the paper.
机译：本说明是论文“一种非侵入式模型阶几何非线性结构动力学的还原使用模态衍生物”，其中减小了结构在非线性几何制度的动态响应的顺序模型（ROM）之构造的一个简短的讨论。本文提出了模态衍生物，以补充用于所述结构的位移的表示线性模式和3层的简单结构，以与所述线性模式+获得的那些双模式进行初始公布大约十年前获得的对应的预测进行比较。后者基地获得的预测在纸的证明是在矛盾比较差与文献中这种方法的许多成功的应用。在此表明，问题的文件从截断征正交分解（POD）太早，即在双模式建设服用过少的特征向量茎。当POD近似正常进行衔接，发现与线性模式+双模基地ROM的导致的动态响应的非常好的预测。事实上，这种良好的精度被认为是被维持，即使当响应电平比在纸中示出的实施例大得多。

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