A nth-order meshless generalization of Reddy's third-order shear deformation theory for the free vibration on laminated composite plates

被引：47

作者：

Xiang, Song ^{[1
]}

Jiang, Shao-xi ^{[2
]}

Bi, Ze-yang ^{[3
]}

Jin, Yao-xing ^{[4
]}

Yang, Ming-sui ^{[1
]}

机构：

[1] Shenyang Aerosp Univ, Sch Power & Energy Engn, Shenyang 110136, Liaoning, Peoples R China

[2] Avic Shenyang Liming Aeroengine Grp Corp Ltd, Mfg Factory Blade, Shenyang 110043, Liaoning, Peoples R China

[3] ShouGang Qian An Iron & Steel Corp Ltd, Steel Making Plant, Qian An 064400, Hebei, Peoples R China

[4] Avic Shenyang Liming Aeroengine Grp Corp Ltd, Dept Technol, Shenyang 110043, Liaoning, Peoples R China

来源：

COMPOSITE STRUCTURES | 2011年 / 93卷 / 02期

关键词：

nth-order shear deformation theory; Free vibration; Laminated composite plates; Meshless radial point collocation methods; Thin plate spline; Radial basis function; FUNCTIONALLY GRADED PLATES; MIXED VARIATIONAL THEOREM; NATURAL FREQUENCIES; BEAMS;

D O I：

10.1016/j.compstruct.2010.09.015

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, a nth-order shear deformation theory is proposed to analyze the free vibration of laminated composite plates The present nth-order shear deformation theory satisfies the zero transverse shear stress boundary conditions on the top and bottom surface of the plate Reddy s third-order theory can be considered as a special case of present nth-order theory (n = 3) Natural frequencies of the laminated composite plates with various boundary conditions side-to-thickness ratios material properties are computed by present nth-order theory and a meshless radial point collocation method based on the thin plate spline radial basis function The results are compared with available published results which demonstrate the accuracy and efficiency of present nth-order theory (C) 2010 Elsevier Ltd All rights reserved

引用

页码：299 / 307

页数：9

共 50 条

[1] Hygrothermal environmental effect on free vibration of laminated plates using nth-order shear deformation theory
Bouazza, Mokhtar
Zenkour, Ashraf M.
WAVES IN RANDOM AND COMPLEX MEDIA, 2021,
[2] A nth-order shear deformation theory for the free vibration analysis on the isotropic plates
Song Xiang
Gui-wen Kang
Bin Xing
Meccanica, 2012, 47 : 1913 - 1921
[3] A nth-order shear deformation theory for the free vibration analysis on the isotropic plates
Xiang, Song
Kang, Gui-wen
Xing, Bin
MECCANICA, 2012, 47 (08) : 1913 - 1921
[4] A Nth-order Shear Deformation Theory and Multiquadrics Radial Basis Function for Free Vibration of Laminated Composite Beams
Yang, Kang
Xiang, Song
Kang, Guiwen
2016 INTERNATIONAL CONFERENCE ON MECHANICAL MANUFACTURING AND ENERGY ENGINEERING (ICMMEE 2016), 2016, : 137 - 144
[5] An improved simple third-order shear deformation theory for laminated composite plates
Lan, Xiangjun
Shi, Guangyu
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MECHANICAL ENGINEERING AND MECHANICS 2007, VOLS 1 AND 2, 2007, : 885 - 890
[6] Buckling of symmetrically laminated plates using nth-order shear deformation theory with curvature effects
Becheri, Tawfiq
Amara, Khaled
Bouazza, Mokhtar
Benseddiq, Noureddine
STEEL AND COMPOSITE STRUCTURES, 2016, 21 (06): : 1347 - 1368
[7] Classical coupled thermoelasticity in laminated composite plates based on third-order shear deformation theory
Daneshjo, K
Ramezani, M
COMPOSITE STRUCTURES, 2004, 64 (3-4) : 369 - 375
[8] Application of Reddy's third-order theory to delaminated orthotropic composite plates
Szekrenyes, Andras
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2014, 43 : 9 - 24
[9] Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation Theory
Saad AL Nuwairan, Muneerah
Javed, Saira
JOURNAL OF MATHEMATICS, 2021, 2021
[10] Analysis of stresses for laminated composite plates based on a new simple third-order shear deformation theory
Lan, Xiangjun
Feng, Zhihua
Shi, Guangyu
CJCM: 5TH CHINA-JAPAN CONFERENCE ON MECHATRONICS 2008, 2008, : 353 - 355

← 1 2 3 4 5 →