Dynamic behavior of FGM beam using a new first shear deformation theory

被引:13
作者
Hadji, Lazreg [1 ,2 ]
Daouadji, T. Hassaine [1 ,2 ]
Bedia, E. A. [2 ]
机构
[1] Univ Ibn Khaldoun, BP 78 Zaaroura, Tiaret 14000, Algeria
[2] Univ Djillali Liabes Sidi Bel Abbes, Lab Mat & Hydrol, Sidi Bel Abbes 22000, Algeria
关键词
functionally graded beam; first shear deformation theory; neutral surface position; vibration; HIGHER-ORDER SHEAR; FUNCTIONALLY GRADED PLATES; FREE-VIBRATION; BUCKLING ANALYSIS; COMPOSITE PLATES; BENDING ANALYSIS; SANDWICH PLATES; EFFICIENT;
D O I
10.12989/eas.2016.10.2.451
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
A new first-order shear deformation theory is developed for dynamic behavior of functionally graded beams. The equations governing the axial and transverse deformations of functionally graded plates are derived based on the present first-order shear deformation plate theory and the physical neutral surface concept. There is no stretching-bending coupling effect in the neutral surface based formulation, and consequently, the governing equations and boundary conditions of functionally graded beams based on neutral surface have the simple forms as those of isotropic plates. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.
引用
收藏
页码:451 / 461
页数:11
相关论文
共 34 条
[1]   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
[2]  
[Anonymous], 1993, FUNCT GRADIENT MAT
[3]   An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates [J].
Belabed, Zakaria ;
Houari, Mohammed Sid Ahmed ;
Tounsi, Abdelouahed ;
Mahmoud, S. R. ;
Beg, O. Anwar .
COMPOSITES PART B-ENGINEERING, 2014, 60 :274-283
[4]   On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model [J].
Belkorissat, Ismahene ;
Houari, Mohammed Sid Ahmed ;
Tounsi, Abdelouahed ;
Bedia, E. A. Adda ;
Mahmoud, S. R. .
STEEL AND COMPOSITE STRUCTURES, 2015, 18 (04) :1063-1081
[5]   A four variable refined plate theory for free vibrations of functionally graded plates with arbitrary gradient [J].
Benachour, Abdelkader ;
Tahar, Hassaine Daouadji ;
Atmane, Hassen Ait ;
Tounsi, Abdelouahed ;
Ahmed, Meftah Sid .
COMPOSITES PART B-ENGINEERING, 2011, 42 (06) :1386-1394
[6]   Modeling and analysis of functionally graded materials and structures [J].
Birman, Victor ;
Byrd, Larry W. .
APPLIED MECHANICS REVIEWS, 2007, 60 (1-6) :195-216
[7]  
Bouderba B, 2013, STEEL COMPOS STRUCT, V14, P85
[8]   THERMAL BUCKLING OF FUNCTIONALLY GRADED PLATES ACCORDING TO A FOUR-VARIABLE REFINED PLATE THEORY [J].
Bouiadjra, Mohamed Bachir ;
Houari, Mohammed Sid Ahmed ;
Tounsi, Abdelouahed .
JOURNAL OF THERMAL STRESSES, 2012, 35 (08) :677-694
[9]   A new simple shear and normal deformations theory for functionally graded beams [J].
Bourada, Mohamed ;
Kaci, Abdelhakim ;
Houari, Mohammed Sid Ahmed ;
Tounsi, Abdelouahed .
STEEL AND COMPOSITE STRUCTURES, 2015, 18 (02) :409-423
[10]   A new four-variable refined plate theory for thermal buckling analysis of functionally graded sandwich plates [J].
Bourada, Mohamed ;
Tounsi, Abdelouahed ;
Houari, Mohammed Sid Ahmed ;
Bedia, El Abbes Adda .
JOURNAL OF SANDWICH STRUCTURES & MATERIALS, 2012, 14 (01) :5-33