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

被引：1
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] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
[2] Minist Educ, Key Lab Infinite dimens Hamiltonian Syst & Its Alg, Hohhot 010022, Peoples R China
[3] Ctr Appl Math Inner Mongolia, Hohhot 010022, Peoples R China
来源：
ENGINEERING STRUCTURES | 2025年 / 322卷
关键词：
Free vibration; Graphene platelets; GDQFEM; Plate with a diamond-shaped hole and two; cracks; NANOCOMPOSITES; FOAMS; MODEL;
D O I：
10.1016/j.engstruct.2024.119066
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
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.
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收藏
页数：12
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