Optimization of model order reduction for transient analysis of functionally graded plates using isogeometric analysis based on four-variable quasi-3D theory

IF 6.3 2区材料科学 Q1 MATERIALS SCIENCE, COMPOSITES

Composite Structures Pub Date : 2025-02-01 DOI:10.1016/j.compstruct.2025.118844

Van Hai Luong , Khanh D. Dang , Seunghye Lee , Qui X. Lieu

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引用次数: 0

Abstract

This study aims to develop an optimally reduced order isogeometric analysis (IGA) for analyzing the transient behavior of functionally graded (FG) plates based on four-variable quasi-3D theory for the first time. The plate’s dynamic features are condensed via an iterated improved reduced system (IIRS) strategy whose master degrees of freedom (DOFs) attached to control points in the IGA framework are optimized by differential evolution (DE). Consequently, the optimal IIRS with naturally preserved consistent masses can yield better accuracy of higher-order modal modes. In addition, a four-unknown quasi-3D theory is utilized to represent the displacement field through the plate thickness. This theory can not only further reduce the number of master DOFs defined in reduced order models (ROMs), but also still consider the influences of transverse shear strain and normal stress against other higher-order shear deformation theories (HSDTs). Meanwhile, the displacement field in the plate plane is approximated by non-uniform rational B-splines (NURBS) functions. The Galerkin’s method is used to derive the IGA-driven IIRS for the transient analysis of proportionally damped plates. Then, the time-series behavior of the reduced system is resolved by the Newmark-

β

. Several examples are illustrated to confirm the validity of the proposed methodology.

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来源期刊

Composite Structures 工程技术-材料科学：复合

CiteScore

12.00

自引率

12.70%

发文量

1246

审稿时长

78 days

期刊介绍： The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.