Thermal vibration of stiffened FGM plates with cutouts using Nitsche-based isogeometric approach

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2025-02-05 DOI:10.1016/j.tws.2025.113026

Yuan Wang , Bo Liu , Junjie Zhu , Wangfan Zhou , Libo Jiang , Chaofeng Pan , Jiangping Xu

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引用次数: 0

Abstract

Based on the integration of first-order shear deformation concept and the principle of Timoshenko’s beam theory, we develop an isogeometric analysis (IGA) framework for the study of free vibration characteristics in stiffened functionally graded material (FGM) plates, both with and without stiffeners and cutouts, under three typical thermal loads. The framework introduces a physical neutral surface for a precise description of the material properties of FGM plate along the thickness direction. Initially, the stiffened FGM plates with or without cutouts, are modeled employing non-overlapping NURBS patches. The stiffeners are strategically positioned along the shared boundaries of neighboring patches, utilizing the identical control points that define these boundaries. Subsequently, the distinct patches are seamlessly integrated through the Nitsche method. Initially, the convergence of the proposed methodology is verified by the rectangular FGM plate without any stiffener and cutout under uniform temperature field. Consequently, we present an in-depth analysis of the free vibration of rectangular, skew, and elliptical FGM plates, exploring the effects of the stiffener orientation, the number and shape of cutouts, the boundary conditions of the plates, the gradient factor, temperature rise, and the type of thermal load on the free vibration characteristics. Through comparative analysis, the computed results are highly consistent with the data in existing literature, further validating the robustness of the proposed method.

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来源期刊

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.