Free vibration of cracked FGM plates with variable thickness resting on elastic foundations

被引：46
作者：
Minh, Phuc Pham [1 ,2 ]
Manh, Duong Tuan [2 ]
Duc, Nguyen Dinh [3 ,4 ,5 ]
机构：
[1] Univ Transport & Commun, Fac Basic Sci, 03 Cau Giay St Dong Da, Hanoi, Vietnam
[2] VNU Hanoi Univ Engn & Technol, Dept Engn & Technol Construct & Transportat, 144 Xuan Thuy St Cau Giay, Hanoi, Vietnam
[3] Vietnam Natl Univ, Int Sch, G7 & G8 Bldg,144 Xuan Thuy St, Hanoi, Vietnam
[4] Nguyen Tat Thanh Univ, NTT Inst High Technol, Dist 4, Ho Chi Minh City, Vietnam
[5] Sejong Univ, Natl Res Lab, Dept Civil & Environm Engn, 209 Neungdong Ro, Seoul 05006, South Korea
来源：
THIN-WALLED STRUCTURES | 2021年 / 161卷
关键词：
Free vibration; Rectangular cracked FGM plates; Variable thickness; Phase field theory; Elastic foundations; Shi' s HSDT; HIGHER-ORDER SHEAR; FUNCTIONALLY GRADED PLATES; NORMAL DEFORMATION-THEORY; RECTANGULAR-PLATES; ANNULAR PLATES; BRITTLE; 1ST-ORDER; MODEL;
D O I：
10.1016/j.tws.2020.107425
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
In this paper, Shi?s high-order shear deformation theory (HSDT) is introduced to compute the free vibration of the cracked functionally graded material (FGM) plates according to the power law resting on Pasternak elastic foundations. The rectangular plate has a linearly variable thickness and has a crack in the center. The phase field theory and finite element method are used to study the vibration frequency of plates depending on the exponent of the material as well as the parameters of the elastic foundation. Several numerical results have been compared with the ones available in the literature. Next, the paper investigates the effect of length, angle of crack, ratio of plate thickness to the free vibration of plates.
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页数：13
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