The effects of fibre orientation on free vibrations of composite beams

Teh, K.K.; Huang, C. C.

doi:10.1016/0022-460x(80)90616-1

Cited by 35 publications

(9 citation statements)

References 5 publications

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“…A variety of structural components made of composite materials such as turbine blades, vehicle axles, aircraft wing, and helicopter blade can be approximated as laminated composite beams, which requires a deeper understanding of the vibration characteristics of the composite beams as mentioned by Reddy [6] has written a higher order theory for laminated composite plates and concluded the possible in some cases to disregard the effects of shear deformation and rotary inertia. Dancila and Armanios [14] have used an analytical model, considering the bending torsion and tensile torsion couplings in a closed section, and validated the results with a finite element model. Jun and Xian ding [3] have used modal analysis to study the flexural behaviour of composite beams, determining the displacement and flexure rotation of a cantilever beam subjected to concentrated and distributed random excitations.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Banarjee and Williams [12] determined the frequencies of solid section cantilever beams manufactured from unidirectional laminate Later, Banarjee [13] completed that work by deter mining the exact expressions for frequencies and mode shapes of the same composite beam. Teh and Huang [14] evaluated the effect of the orientation of the fibres on the frequencies and mode shapes of cantilever graphite/epoxy beams, stating that the maximum coupling effect varies from 241 to 251 for the first five natural frequencies. Li et al [15] have written stochastic formulae in bending-torsion coupled response of axially loaded slender composite thin walled beams.…”

Section: Literature Reviewmentioning

confidence: 99%

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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%

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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“…Free vibration of the composite beams and the coupling generated due to the bend-twist phenomenon were analyzed over a non-cross-ply laminated composite beam, and are introduced in Refs. [8][9][10][11][12]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of composite beam subjected to harmonic moving load based on the third-order shear deformation theory

2011

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The response of an infinite Timoshenko beam subjected to a harmonic moving load based on the thirdorder shear deformation theory (TSDT) is studied. The beam is made of laminated composite, and located on a Pasternak viscoelastic foundation. By using the principle of total minimum potential energy, the governing partial differential equations of motion are obtained. The solution is directed to compute the deflection and bending moment distribution along the length of the beam. Also, the effects of two types of composite materials, stiffness and shear layer viscosity coefficients of foundation, velocity and frequency of the moving load over the beam response are studied. In order to demonstrate the accuracy of the present method, the results TSDT are compared with the previously obtained results based on first-order shear deformation theory, with which good agreements are observed.

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“…The in¯uence of ®bre orientation on normal mode shapes was further investigated by Teh and Huang. 5 Chen and Yang 6 reported the free vibration analysis of symmetric laminated beams. Vinson and Sierakowski 7 gave the exact solution of a simply supported composite beam based on the classical lamination theory.…”

Section: Introductionmentioning

confidence: 99%

Out-of-plane bending and torsional resonance frequencies and mode shapes of symmetric cross-ply laminated beams including shear deformation and rotary inertia effects

Yıldırım

2000

Commun. Numer. Meth. Engng.

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In this study, the stiness method solution based on the ®rst order shear deformation theory is used for the purely out-of-plane (out-of-plane bending and torsional) free vibration analysis of symmetric cross-ply laminated beams. A beam element has six degrees of freedom. The in¯uence of the rotary inertia terms is included in the solution. Accounting for the shear deformation eects, the exact numerical element stiness matrix is obtained based on the transfer matrix method. The element inertia matrix consists of the concentrated masses. The sub-space iteration and Jacobi's methods are employed in the solution of the large-scale general eigenvalue problem. The out-of-plane vibration mode shapes associated with the ®rst eight natural frequencies of the vibration composite beam with several boundary conditions are illustrated.

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The effects of fibre orientation on free vibrations of composite beams

Cited by 35 publications

References 5 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

Dynamic analysis of composite beam subjected to harmonic moving load based on the third-order shear deformation theory

Out-of-plane bending and torsional resonance frequencies and mode shapes of symmetric cross-ply laminated beams including shear deformation and rotary inertia effects

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