A novel approach for nonlinear bending response of macro- and nanoplates with irregular variable thickness under nonuniform loading in thermal environment

被引：51
作者：
Dastjerdi, Shahriar [1 ]
Beni, Yaghoub Tadi [2 ]
机构：
[1] Islamic Azad Univ, Dept Mech Engn, Shahrood Branch, Shahrood, Iran
[2] Shahrekord Univ, Fac Engn, Shahrekord, Iran
来源：
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES | 2019年 / 47卷 / 04期
关键词：
Macro; nano-annular sector plates; variable thickness; nonlocal elasticity theory; modified higher-order shear deformation theory (MHSDT); semi-analytical polynomial method (SAPM); SHEAR DEFORMATION-THEORY; FREE-VIBRATION ANALYSIS; HIGHER-ORDER SHEAR; REFINED PLATE-THEORY; FUNCTIONALLY GRADED PLATES; FINITE-ELEMENT-ANALYSIS; BUCKLING ANALYSIS; SANDWICH PLATES; WAVE-PROPAGATION; ANNULAR SECTOR;
D O I：
10.1080/15397734.2018.1557529
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A new method has been presented for static analysis of macro- and nano sector plates with variable thickness. The thickness variations are assumed linearly, functionally, and also irregularly. The governing equations have been derived based on the nonlocal modified higher-order shear deformation theory and have been solved applying the semi-analytical polynomial method. The obtained results have been compared with the results of the other relevant articles. The effective parameters on the analysis have been investigated such as the thickness, the size of the plate under uniform and nonuniform loadings, and the boundary conditions including free edges. Communicated by Marco Amabili.
引用
收藏
页码：453 / 478
页数：26
相关论文
共 99 条
[1]   A DUAL PHASE LAG MODEL ON THERMOELASTIC INTERACTION IN AN INFINITE FIBER-REINFORCED ANISOTROPIC MEDIUM WITH A CIRCULAR HOLE [J].
Abbas, Ibrahim A. .
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2015, 43 (04) :501-513
[2]   An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions [J].
Abdelaziz, Hadj Henni ;
Meziane, Mohamed Ait Amar ;
Bousahla, Abdelmoumen Anis ;
Tounsi, Abdelouahed ;
Mahmoud, S. R. ;
Alwabli, Afaf S. .
STEEL AND COMPOSITE STRUCTURES, 2017, 25 (06) :693-704
[3]   A novel quasi-3D trigonometric plate theory for free vibration analysis of advanced composite plates [J].
Abualnour, Moussa ;
Houari, Mohammed Sid Ahmed ;
Tounsi, Abdelouahed ;
Bedia, El Abbes Adda ;
Mahmoud, S. R. .
COMPOSITE STRUCTURES, 2018, 184 :688-697
[4]   Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept [J].
Ahouel, Mama ;
Houari, Mohammed Sid Ahmed ;
Bedia, E. A. Adda ;
Tounsi, Abdelouahed .
STEEL AND COMPOSITE STRUCTURES, 2016, 20 (05) :963-981
[5]   Effects of thermal and shear deformation on vibration response of functionally graded thick composite microbeams [J].
Akgoz, Bekir ;
Civalek, Omer .
COMPOSITES PART B-ENGINEERING, 2017, 129 :77-87
[6]   A novel microstructure-dependent shear deformable beam model [J].
Akgoz, Bekir ;
Civalek, Omer .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2015, 99 :10-20
[7]   Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position [J].
Al-Basyouni, K. S. ;
Tounsi, Abdelouahed ;
Mahmoud, S. R. .
COMPOSITE STRUCTURES, 2015, 125 :621-630
[8]   Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation [J].
Alinaghizadeh, Farhad ;
Shariati, Mahmoud .
COMPOSITES PART B-ENGINEERING, 2016, 86 :61-83
[9]   Static analysis of variable thickness two-directional functionally graded annular sector plates fully or partially resting on elastic foundations by the GDQ method [J].
Alinaghizadeh, Farhad ;
Shariati, Mahmoud .
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2015, 37 (06) :1819-1838
[10]  
[Anonymous], 2009, Isogeometric analysis
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