This paper presents a new interface sampling and reduction method for varying parameters within the framework of the component mode synthesis (CMS) method. In the conventional interpolation-based parametric reduced-order model (IB-PROM) based on CMS, reduced subsystems are synthesized, and interface degrees-of-freedom are reduced via the secondary eigenvalue analysis in the online stage, which is essential to obtain highly reduced system matrices. However, it inhibits rapid parameter updating and requires extra computational resources in the online stage. In the present study, the pre-reduced interface sampling method is proposed by synthesizing substructures and reducing the interface before beginning the online stage. The interface solution is obtained through offline and online adaptation, likewise the procedure of computing the interior solution of previous studies. Additionally, congruence transformations are applied to each reduced interface, which is mandatory for interpolating symmetric positive definite matrices with respect to a new input parameter. As a result, the online performance of IB-PROM is greatly enhanced, showing rapid and near real-time adaptations to the variations in system parameters.

中文翻译：

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一种用于变参数组件模式综合的系统级接口采样和缩减方法


本文提出了一种在组件模式综合（CMS）方法框架内针对变化参数的新界面采样和缩减方法。在传统的基于CMS的插值参数降阶模型（IB-PROM）中，综合了降阶子系统，并通过在线阶段的二次特征值分析来降阶界面自由度，这对于获得高阶界面自由度至关重要。减少系统矩阵。然而，它抑制了参数的快速更新，并且在线阶段需要额外的计算资源。在本研究中，提出了在开始在线阶段之前合成子结构并减少界面的预减少界面采样方法。界面解是通过离线和在线自适应得到的，与前人研究的内部解的计算过程类似。此外，同余变换应用于每个简化接口，这对于相对于新输入参数插值对称正定矩阵是必需的。结果，IB-PROM的在线性能大大增强，对系统参数的变化表现出快速且近乎实时的适应。