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Model Reduction for Nonlinear Multibody Systems Based on Proper Orthogonal- and Smooth Orthogonal Decomposition

机译：基于适当正交和平滑正交分解的非线性多体系的模型减少

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摘要

Flexible multibody simulation, subject to holonomic constraints, results in nonlinear differential algebraic systems. As computation time is a major issue, we are interested in applying model order reduction techniques to such multibody systems. One possible method called Proper Orthogonal Decomposition is based on minimizing the displacements euclidian distance while the more recently presented method Smooth Orthogonal Decomposition considers not only displacements but also their time derivatives. After a short introduction to the theory, this contribution presents a comparison of both methods on an index-reduced system. The methods are tested against each other in order to identify advantages and disadvantages.
机译：易受定理约束的柔性多体模拟，导致非线性差分代数系统。随着计算时间是一个主要问题，我们有兴趣将模型顺序减少技术应用于这种多体系统。称为适当的正交分解的一种可能方法是基于最小化位移欧几里德距离，而最近呈现的方法流畅的正交分解不仅考虑位移，而且是它们的时间衍生物。在对该理论简要介绍之后，该贡献呈现了两种方法对索引减少系统的比较。该方法互相测试，以识别优势和缺点。

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