Trigonometric-series solution for analysis of laminated composite beams

被引:48
作者
Nguyen, Trung-Kien [1 ]
Nguyen, Ngoc-Duong [1 ]
Vo, Thuc P. [2 ,4 ]
Thai, Huu-Tai [3 ]
机构
[1] Ho Chi Minh City Univ Technol & Educ, Fac Civil Engn, 1 Vo Van Ngan St, Ho Chi Minh City, Vietnam
[2] Northumbria Univ, Fac Engn & Environm, Newcastle Upon Tyne NE1 8ST, Tyne & Wear, England
[3] La Trobe Univ, Sch Engn & Math Sci, Bundoora, Vic 3086, Australia
[4] Duy Tan Univ, Da Nang, Vietnam
关键词
Trigonometric-series solution; Laminated composite beams; Static; Buckling; Vibration; FREE-VIBRATION ANALYSIS; HIGHER-ORDER THEORIES; GENERAL BOUNDARY-CONDITIONS; SHEAR DEFORMATION THEORIES; GRADED SANDWICH BEAMS; FINITE-ELEMENT; BUCKLING ANALYSIS; TRANSVERSE-SHEAR; BENDING ANALYSIS; DYNAMIC-ANALYSIS;
D O I
10.1016/j.compstruct.2016.10.033
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A new analytical solution based on a higher-order beam theory for static, buckling and vibration of laminated composite beams is proposed in this paper. The governing equations of motion are derived from Lagrange's equations. An analytical solution based on trigonometric series, which satisfies various boundary conditions, is developed to solve the problem. Numerical results are obtained to compare with previous studies and to investigate the effects of length-to-depth ratio, fibre angles and material anisotropy on the deflections, stresses, natural frequencies and critical buckling loads of composite beams with various configurations. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:142 / 151
页数:10
相关论文
共 37 条
[1]   Assessment of mixed and displacement-based models for static analysis of composite beams of different cross-sections [J].
Aguiar, R. M. ;
Moleiro, F. ;
Soares, C. M. Mota .
COMPOSITE STRUCTURES, 2012, 94 (02) :601-616
[5]   FREE-VIBRATION OF COMPOSITE BEAMS INCLUDING ROTARY INERTIA AND SHEAR DEFORMATION [J].
CHANDRASHEKHARA, K ;
KRISHNAMURTHY, K ;
ROY, S .
COMPOSITE STRUCTURES, 1990, 14 (04) :269-279
[6]   FREE-VIBRATION OF COMPOSITE BEAMS USING A REFINED SHEAR FLEXIBLE BEAM ELEMENT [J].
CHANDRASHEKHARA, K ;
BANGERA, KM .
COMPUTERS & STRUCTURES, 1992, 43 (04) :719-727
[7]   Free vibration analysis of generally laminated beams via state-space-based differential quadrature [J].
Chen, WQ ;
Lv, CF ;
Bian, ZG .
COMPOSITE STRUCTURES, 2004, 63 (3-4) :417-425
[8]  
Ghugal YM, 2001, J REINF PLAST COMP, V20, P255, DOI 10.1106/N95G-ERA1-A1CM-RD7E
[9]   Analytical solution to the dynamic analysis of laminated beams using higher order refined theory [J].
Kant, T ;
Marur, SR ;
Rao, GS .
COMPOSITE STRUCTURES, 1997, 40 (01) :1-9
[10]   Bending, buckling and free vibration of laminated composite with a transverse shear stress continuity model [J].
Karama, M ;
Abou Harb, B ;
Mistou, S ;
Caperaa, S .
COMPOSITES PART B-ENGINEERING, 1998, 29 (03) :223-234