Free vibration of axially loaded composite beams using a four-unknown shear and normal deformation theory

被引：39
作者：
Vo, Thuc P. [1 ,2 ]
Huu-Tai Thai [3 ,4 ,5 ]
Aydogdu, Metin [6 ]
机构：
[1] Northumbria Univ, Fac Engn & Environm, Newcastle Upon Tyne NE1 8ST, Tyne & Wear, England
[2] Duy Tan Univ, Inst Res & Dev, 03 Quang Trung, Da Nang, Vietnam
[3] Ton Duc Thang Univ, Inst Computat Sci, Div Construct Computat, Ho Chi Minh City, Vietnam
[4] Ton Duc Thang Univ, Fac Civil Engn, Ho Chi Minh City, Vietnam
[5] La Trobe Univ, Sch Engn & Math Sci, Bundoora, Vic 3086, Australia
[6] Trakya Univ, Dept Mech Engn, TR-22030 Edirne, Turkey
来源：
COMPOSITE STRUCTURES | 2017年 / 178卷
关键词：
Composite beams; Normal strain; Poisson effect; Shear and normal deformation theory; PLY LAMINATED BEAMS; ARBITRARY BOUNDARY-CONDITIONS; SINUS FINITE-ELEMENTS; SANDWICH BEAMS; BUCKLING ANALYSIS; STRESS CONTINUITY; RITZ METHOD; MODEL; FORMULATION; BEHAVIOR;
D O I：
10.1016/j.compstruct.2017.07.022
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
This paper presents free vibration of composite beams under axial load using a four-unknown shear and normal deformation theory. The constitutive equation is reduced from the 3D stress-strain relations of orthotropic lamina. The governing differential equations of motion are derived using the Hamilton's principle. A two-node C-1 beam element is developed by using a mixed interpolation with linear and Hermite-cubic polynomials for unknown variables. Numerical results are computed and compared with those available in the literature and commercial finite element software (ANSYS and ABAQUS). The comparison study illustrates the effects of normal strain, Jay-ups and Poisson's ratio on the natural frequencies and load-frequency curves of composite beams. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：406 / 414
页数：9
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