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.

中文翻译：

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具有参数化对流边界条件的热机械模型的模型降阶：专注于机床

本文提出了一种用于机床和其他类似机电系统的弱耦合热机械有限元 (FE) 模型的参数化模型降阶 (MOR) 方法。这项工作提出了一种归约方法、Krylov 模态子空间 (KMS) 和归约误差的理论界限。开发的方法使用系统双线性化的概念来解决对流边界条件的参数依赖性。此外，本文还研究了降阶热系统与机械响应之间的耦合。一个数值例子表明，降阶模型在感兴趣的频率范围内捕获了原始系统的响应。