Free vibration and buckling of porous power-law and sigmoid functionally graded sandwich plates using a simple higher-order shear deformation theory

被引：99
作者：
Daikh, Ahmed Amine [1 ]
Zenkour, Ashraf M. [2 ,3 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Mech Struct & Solids Lab, Sidi Bel Abbes, Algeria
[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[3] Kafrelsheikh Univ, Dept Math, Fac Sci, Kafrelsheikh 33516, Egypt
来源：
MATERIALS RESEARCH EXPRESS | 2019年 / 6卷 / 11期
关键词：
porous sandwich plate; P-FGM; S-FGM; free vibration; buckling; simple higher-order shear deformation theory; FACE SHEETS; NONLINEAR VIBRATION; NATURAL FREQUENCIES; TRANSVERSE-SHEAR; EFFICIENT; SKINS;
D O I：
10.1088/2053-1591/ab48a9
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Free vibration and mechanical buckling of porous functionally graded (FG) sandwich plates is studied in this paper by using a new and simple higher-order shear deformation theory (SHSDT). The present theory accounts for the distribution of transvers shear stresses that satisfy the free transverse shear stress conditions on the upper and lower surfaces of the sandwich plate. The FG sandwich plate is composed of three layers, an isotropic core and two FG face layers. Four porosities distribution and new model of FG sandwich plates based on a sigmoid function are presented. The boundary conditions for the FG sandwich plate are assumed to be simply-supported. Navier's solution is used to obtain the closed-form solutions of FG sandwich plates. The effect of porosity, sandwich plate geometry and inhomogeneity parameter on the buckling and free vibration of FG sandwich plate is investigated.
引用
收藏
页数：18
相关论文
共 62 条
[51]   Nonlinear vibration of sandwich plates with FG-GRC face sheets in thermal environments [J].
Wang, Zhen-Xin ;
Shen, Hui-Shen .
COMPOSITE STRUCTURES, 2018, 192 :642-653
[52]   Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities [J].
Wattanasakulpong, Nuttawit ;
Ungbhakorn, Variddhi .
AEROSPACE SCIENCE AND TECHNOLOGY, 2014, 32 (01) :111-120
[53]   Natural frequencies of sandwich plate with functionally graded face and homogeneous core [J].
Xiang, Song ;
Kang, Gui-wen ;
Yang, Ming-sui ;
Zhao, Yan .
COMPOSITE STRUCTURES, 2013, 96 :226-231
[54]   Benchmark trigonometric and 3-D elasticity solutions for an exponentially graded thick rectangular plate [J].
Zenkour, A. M. .
ARCHIVE OF APPLIED MECHANICS, 2007, 77 (04) :197-214
[55]   Mechanical buckling of functionally graded plates using a refined higher-order shear and normal deformation plate theory [J].
Zenkour, A. M. ;
Aljadani, M. H. .
ADVANCES IN AIRCRAFT AND SPACECRAFT SCIENCE, 2018, 5 (06) :615-632
[56]   Free vibration analysis of multilayered composite and soft core sandwich plates resting on Winkler-Pasternak foundations [J].
Zenkour, A. M. ;
Radwan, A. F. .
JOURNAL OF SANDWICH STRUCTURES & MATERIALS, 2018, 20 (02) :169-190
[57]   Thermal buckling of various types of FGM sandwich plates [J].
Zenkour, A. M. ;
Sobhy, M. .
COMPOSITE STRUCTURES, 2010, 93 (01) :93-102
[58]   Generalized shear deformation theory for bending analysis of functionally graded plates [J].
Zenkour, AM .
APPLIED MATHEMATICAL MODELLING, 2006, 30 (01) :67-84
[59]   On vibration of functionally graded plates according to a refined trigonometric plate theory [J].
Zenkour, AM .
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2005, 5 (02) :279-297
[60]   A comprehensive analysis of functionally graded sandwich plates: Part 1 - Deflection and stresses [J].
Zenkour, AM .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2005, 42 (18-19) :5224-5242
1234567