Free vibration of functionally graded graphene platelets reinforced porous composite plate with a diamond-shaped hole and two cracks

被引：0

作者：

Zhang, Jing ^{[1
,2
,3
]}

Lv, Ying ^{[1
,2
,3
]}

Wu, Jinyan ^{[1
,2
,3
]}

Li, Lianhe ^{[1
,2
,3
]}

机构：

[1] College of Mathematics Science, Inner Mongolia Normal University, Hohhot,010022, China

[2] Key Laboratory of Infinite-dimensional Hamiltonian System and Its Algorithm Application, Ministry of Education, Hohhot,010022, China

[3] Center for Applied Mathematics Inner Mongolia, Hohhot,010022, China

来源：

Engineering Structures | 2025年 / 322卷

关键词：

D O I：

10.1016/j.engstruct.2024.119066

中图分类号：

TU318 [结构设计];

学科分类号：

摘要：

This paper investigates the free vibration of the functionally graded graphene platelets reinforced porous composite (FG-GPLRPC) plate with a diamond-shaped hole and two cracks. Based on the Mindlin-Reissner plate theory and Hamilton principle, the governing equations and boundary conditions are derived. These equations are discretized using the generalized differential quadrature finite element method (GDQFEM), and the natural frequency is obtained by numerical solutions. The effects of the hole size, crack length and crack angle on the natural frequency are discussed. The results show that the natural frequency decreases with increasing crack angle and crack length. © 2024 Elsevier Ltd

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