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

页码：406 / 414

页数：9

共 50 条

[21] Free vibration of axially loaded thin-walled composite box beams
Vo, Thuc Phuong
Lee, Jaehong
COMPOSITE STRUCTURES, 2009, 90 (02) : 233 - 241
[22] Free vibration of axially loaded thin-walled composite Timoshenko beams
Vo, Thuc Phuong
Lee, Jaehong
ARCHIVE OF APPLIED MECHANICS, 2011, 81 (09) : 1165 - 1180
[23] Free vibration of axially loaded thin-walled composite Timoshenko beams
Thuc Phuong Vo
Jaehong Lee
Archive of Applied Mechanics, 2011, 81 : 1165 - 1180
[24] VIBRATION OF AXIALLY LOADED AND PARTIALLY INTERACTING COMPOSITE BEAMS
Grundberg, Staffan
Girhammar, Ulf Arne
Hassan, Osama A. B.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2014, 14 (01)
[25] A novel four-unknown quasi-3D shear deformation theory for functionally graded plates
Hebbar, Nabil
Bourada, Mohamed
Sekkal, Mohamed
Tounsi, Abdelouahed
Mahmoud, S. R.
STEEL AND COMPOSITE STRUCTURES, 2018, 27 (05): : 599 - 611
[26] Meshfree analysis of functionally graded plates with a novel four-unknown arctangent exponential shear deformation theory
Vu, Tan-Van
Nguyen-Van, Hieu
Nguyen, Cung H.
Nguyen, Trong-Phuoc
Curiel-Sosa, Jose L.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2023, 51 (02) : 1082 - 1114
[27] Extended four-unknown higher-order shear deformation nonlocal theory for bending, buckling and free vibration of functionally graded porous nanoshell resting on elastic foundation
Trung Thanh Tran
Van Ke Tran
Quoc-Hoa Pham
Zenkour, Ashraf M.
COMPOSITE STRUCTURES, 2021, 264 (264)
[28] Free vibration analysis of beams by using a third-order shear deformation theory
Şi̇mşek M.
Kocatürk T.
Sadhana, 2007, 32 (3) : 167 - 179
[29] Effects of shear deformation on buckling and free vibration of laminated composite beams
Song, SJ
Waas, AM
COMPOSITE STRUCTURES, 1997, 37 (01) : 33 - 43
[30] Free vibration analysis of beams by using a third-order shear deformation theory
Simsek, Mesut
Kocatuerk, Turgut
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2007, 32 (03): : 167 - 179

← 1 2 3 4 5 →