TY - JOUR
T1 - A system-level interface sampling and reduction method for component mode synthesis with varying parameters
AU - Cheon, Seunghee
AU - Lee, Soobum
AU - Lee, Jaehun
N1 - Publisher Copyright:
© 2024 Elsevier Inc.
PY - 2024/9/1
Y1 - 2024/9/1
N2 - 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.
AB - 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.
KW - Component mode synthesis
KW - Interface sampling and reduction
KW - Interpolation
KW - Parametric reduced-order models
KW - System-level parameters
UR - http://www.scopus.com/inward/record.url?scp=85191435587&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2024.128778
DO - 10.1016/j.amc.2024.128778
M3 - Article
AN - SCOPUS:85191435587
SN - 0096-3003
VL - 476
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
M1 - 128778
ER -