论文标题

使用参数对流边界条件减少模型订购热机械模型:专注于机床

Model order reduction of thermo-mechanical models with parametric convective boundary conditions: focus on machine tool

论文作者

Hernández-Becerro, Pablo, Spescha, Daniel, Wegener, Konrad

论文摘要

本文介绍了一种弱耦合热机械有限元(FE)机床和其他类似机电系统的参数模型订购方法(MOR)方法。这项工作提出了一种还原方法,Krylov Modal子空间(KMS)和还原误差的理论结合。开发的方法使用系统双线化概念来解决对流边界条件的参数依赖性。此外,本文研究了还原顺序的热系统与机械响应之间的耦合。一个数值示例表明,降级模型在关注频率范围内捕获了原始系统的响应。

This paper presents a parametric Model Order Reduction (MOR) method for weakly coupled thermo-mechanical Finite Element (FE) models of machine tools and other similar mechatronic systems. This work proposes a reduction method, Krylov Modal Subspace (KMS), and a theoretical bound of the reduction error. The developed method addresses the parametric dependency of the convective boundary conditions using the concept of system bilinearization. Additionally, this paper investigates the coupling between the reduced-order thermal system and the mechanical response. A numerical example shows that the reduced-order model captures the response of the original system in the frequency range of interest.

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