Free vibration of functionally graded graphene platelets reinforced porous composite plate with multiple cutouts

IF 6.6 1区工程技术 Q1 ENGINEERING, CIVIL Thin-Walled Structures Pub Date : 2025-04-01 Epub Date: 2025-01-13 DOI:10.1016/j.tws.2025.112952

Jing Zhang , Lianhe Li

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Abstract

This paper is the first to investigate the free vibration of functionally graded graphene platelets reinforced porous composite (FG-GPLRPC) plate with multiple cutouts, including a rhombic hole, a teardrop-shaped hole and a crack. Based on Mindlin-Reissner plate theory and Hamilton's principle, the corresponding governing equations and boundary conditions are derived. The generalized differential quadrature finite element method (GDQFEM) is used to fill the gap of existing methods, and the mesh discretization and element mapping are carried out. By solving the eigenvalue algebraic system, the free vibration analysis of such plates is realized. The study focuses on the influence of cutout size, cutout type, boundary condition, and material parameter on the natural frequency. The results show that, under different boundary conditions, an increase in cutout size and crack length leads to a gradual reduction in the natural frequency. Notably, the reduction rate for teardrop-shaped holes is significantly greater than for rhombic holes, and the reduction caused by rhombic holes is larger than that caused by cracks.

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多切口功能梯度石墨烯片增强多孔复合材料板的自由振动

本文首次研究了具有多个切口（包括菱形孔、泪滴形孔和裂纹）的功能梯度石墨烯片增强多孔复合材料（FG-GPLRPC）板的自由振动。基于Mindlin-Reissner板理论和Hamilton原理，推导了相应的控制方程和边界条件。采用广义微分正交有限元法（GDQFEM）填补了现有方法的空白，进行了网格离散化和单元映射。通过求解特征值代数系统，实现了此类板的自由振动分析。重点研究了切孔尺寸、切孔类型、边界条件和材料参数对固有频率的影响。结果表明，在不同边界条件下，随着切口尺寸和裂纹长度的增加，固有频率逐渐降低。泪滴型孔洞的还原速率明显大于菱形孔洞，且菱形孔洞的还原速率大于裂纹的还原速率。

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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.