{"title":"Structural partitioning for parallel construction of geometric nonlinear reduced-order models","authors":"Tuan Anh Bui , Junyoung Park , Jun-Sik Kim","doi":"10.1016/j.ijnonlinmec.2025.105092","DOIUrl":null,"url":null,"abstract":"<div><div>High-fidelity finite element models are widely used to predict the mechanical behavior of structures with complex geometries. While these models provide accurate results, they often require significant computational time, particularly when predicting nonlinear dynamic behavior. To address this, model order reduction techniques have been developed to reduce the computational time. However, constructing non-intrusive reduced-order models from high-fidelity finite element models still requires considerable computational time. This paper proposes a fully parallel process to accelerate the construction of geometrically nonlinear reduced-order models. In this approach, the structure is divided into multiple partitions, each assigned to a separate processor. The reduction basis for each partition ensures displacement consistency at partition interfaces without requiring additional modal coordinates at these interfaces. The parallel process operates without inter-processor communication, making it robust and straightforward to implement. It is compatible with various non-intrusive model order reduction techniques and achieves high computational efficiency. Notably, this approach introduces no additional errors, i.e., the reduced-order model constructed through the parallel process is identical to that obtained via traditional methods.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105092"},"PeriodicalIF":2.8000,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Non-Linear Mechanics","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020746225000800","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
High-fidelity finite element models are widely used to predict the mechanical behavior of structures with complex geometries. While these models provide accurate results, they often require significant computational time, particularly when predicting nonlinear dynamic behavior. To address this, model order reduction techniques have been developed to reduce the computational time. However, constructing non-intrusive reduced-order models from high-fidelity finite element models still requires considerable computational time. This paper proposes a fully parallel process to accelerate the construction of geometrically nonlinear reduced-order models. In this approach, the structure is divided into multiple partitions, each assigned to a separate processor. The reduction basis for each partition ensures displacement consistency at partition interfaces without requiring additional modal coordinates at these interfaces. The parallel process operates without inter-processor communication, making it robust and straightforward to implement. It is compatible with various non-intrusive model order reduction techniques and achieves high computational efficiency. Notably, this approach introduces no additional errors, i.e., the reduced-order model constructed through the parallel process is identical to that obtained via traditional methods.
期刊介绍:
The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear.
The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas.
Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.