Bending–torsional coupled dynamic response of axially loaded composite Timosenko thin-walled beam with closed cross-section

Li, Jun; Rongying, Shen; Hu, Hua; Xian-ding, Jin

doi:10.1016/s0263-8223(03)00210-1

Cited by 38 publications

(18 citation statements)

References 25 publications

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“…Lee and Kim [8] used a one dimensional finite element model applicable to open thin walled cross sections. Li et al [9] analyzed the dynamic response of thin walled Timoshenko beams, considering concentrated and distributed dynamic loads, and bending torsion coupling. Kim et al [10] have given a improved flexural-torsional stability analysis of thin-walled composite beam and exact stiffness matrix.…”

Section: Literature Reviewmentioning

confidence: 99%

Effect of Fiber Orientation and Position of Circular Hole on Torsional Natural Frequency of Laminated Composite Beam

Padhi¹

2018

IJRASET

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The composite materials are well known by their excellent combination of high structural stiffness and low weight. The main feature of these anisotropic materials is their ability to be tailored for specific applications by optimizing design parameters such as stacking sequence, ply orientation and performance targets. Finding free torsional vibrations characteristics of laminated composite beams is one of the bases for designing and modeling of industrial products. With these requirements, this work considers the free torsional vibrations for laminated composite beams of doubly symmetrical cross sections. The torsional vibrations of the laminated beams are analyzed analytically based on the classical lamination theory, and accounts for the coupling of flexural and torsional modes due to fiber orientation of the laminated beams are neglected. Also, the torsional vibrations of the laminated beams analyzed by shear deformation theory in which the shear deformation effects are considered. Numerical analysis has been carried out using finite element method (FEM). The finite element software package ANSYS 13.0 is used to perform the numerical analyses using an eight-node layered shell element to describe the torsional vibration of the laminated beams. The rotary inertia and shear deformation effects of the element are taken. The influence of fiber directions and stacking sequences of laminates on torsional natural frequencies were investigated. Also, the effects of boundary conditions are demonstrated. Numerical results, obtained by the ANSYS 13.0, classical lamination theory, and shear deformation theory are presented to highlight the effects of fibers orientation and layers stacking sequence on torsional frequencies of the beams. The results obtained by ANSYS are compared against the classical lamination theory, as well as shear deformation theory.

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Section: Literature Reviewmentioning

confidence: 99%

Effect of Fiber Orientation and Position of Circular Hole on Torsional Natural Frequency of Laminated Composite Beam

Padhi¹

2018

IJRASET

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“…The effect of axial load adds some additional terms to the equations of motion of the Timoshenko beam and so they become more complicated to solve and numerical methods have to be applied. Numerical methods such as finite element (Reddy [17], Vo et al [18], Borbon et al [6]) finite difference (Fule and Zhi-zhong [8], Ansari et al [1]) differential quadrature (Mirtalaie et al [13], Rajasekeran [16]), the dynamic stiffness matrix (Benerjee [2 3], Li et al [11], Pagani et al [14]) and some other methods (Biscontin et al [5], Berczynski and Wroblewski [4], Pan et al [15], Liu et al [12]) have been used in solving free vibration problems of structures.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Method for Free Vibration of Axially Loaded Composite Timoshenko Beam

Prokić¹,

Bešević²,

Martina³

2016

Volume 12 Number 1

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ABSTRACT:In this paper, a numerical method is employed to study the free vibration of axially loaded composite Timoshenko beam. The problem is governed by a set of coupled second-order ordinary differential equations of motion, under different boundary conditions. The method is based on numerical integration rather than the numerical differentiation since the highest derivatives of governing functions are chosen as the basic unknown quantities. The kernels of integral equations turn out to be Green's function of corresponding equation with homogeneous boundary conditions. The accuracy of the proposed method is demonstrated by comparing the calculated results with those available in the literature. It is shown that good accuracy can be obtained even with a relatively small number of nodes.

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“…Most of those studies adopted an analytical method that required explicit expressions of exact displacement functions for governing equations. Although a large number of studies have been performed on the dynamic characteristics of axially loaded isotropic thin-walled beams [6][7][8][9], it should be noted that by using this method there appear some works reported on the free vibration of axially loaded thin-walled closed-section composite beams (Banerjee et al [10][11][12], Li et al [13,14] and Kaya and Ozgumus [15]). For thin-walled open-section composite beams, the works of Kim et al [16][17][18] deserved special attention because they evaluated not only the exact element stiffness matrix but also dynamic stiffness matrix to perform the spatially coupled stability and vibration analysis of thin-walled composite I-beam with arbitrary laminations.…”

Section: Introductionmentioning

confidence: 99%

On triply coupled vibrations of axially loaded thin-walled composite beams

Lee

2010

Computers & Structures

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Free vibration of axially loaded thin-walled composite beams with arbitrary lay-ups is presented.This model is based on the classical lamination theory, and accounts for all the structural coupling coming from material anisotropy. Equations of motion for flexural-torsional coupled vibration are derived from the Hamilton's principle. The resulting coupling is referred to as triply coupled vibrations. A displacement-based one-dimensional finite element model is developed to solve the problem. Numerical results are obtained for thin-walled composite beams to investigate the effects of axial force, fiber orientation and modulus ratio on the natural frequencies, load-frequency interaction curves and corresponding vibration mode shapes.

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Bending–torsional coupled dynamic response of axially loaded composite Timosenko thin-walled beam with closed cross-section

Cited by 38 publications

References 25 publications

Effect of Fiber Orientation and Position of Circular Hole on Torsional Natural Frequency of Laminated Composite Beam

Effect of Fiber Orientation and Position of Circular Hole on Torsional Natural Frequency of Laminated Composite Beam

A Numerical Method for Free Vibration of Axially Loaded Composite Timoshenko Beam

On triply coupled vibrations of axially loaded thin-walled composite beams

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