Free vibration analysis of rotating Timoshenko beams with multiple delaminations

Liu, Yang; Shu, Dong Wei

doi:10.1016/j.compositesb.2012.01.037

Cited by 23 publications

(14 citation statements)

References 15 publications

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“…The first non-dimensional natural frequencies of a clamped-free rotating intact beam based on the Timoshenko beam theory are compared with the analytical results of Du et al [23] and Liu and Shu [28]. For comparison purpose, the dimensionless parameters ω = ωL 2 √ ρ A/EI and η = L 2 √ ρ A/EI are considered for natural frequency and rotating speed, respectively.…”

Section: Verificationmentioning

confidence: 99%

“…The solution has been obtained by applying the method of multiple time scale directly to the nonlinear partial differential equations and the boundary conditions. Analytical solutions have been developed by Liu and Shu [28] to study the free vibrations of delaminated rotating isotropic beam. The Timoshenko beam theory and both the free mode and the constrained mode assumptions in delaminated region have been used.…”

Section: Introductionmentioning

confidence: 99%

“…Free vibrations analysis of the intact rotating beams and delaminated non-rotating beams based on the CBT and shear deformation theory has received a good amount of attention in the literature , whereas the dynamic analysis of the rotating delaminated beam has received attention only recently [28].…”

Section: Introductionmentioning

confidence: 99%

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Analytical solution for the free vibration characteristics of the rotating composite beams with a delamination

Jafari-Talookolaei

2015

Aerospace Science and Technology

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Section: Verificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analytical solution for the free vibration characteristics of the rotating composite beams with a delamination

Jafari-Talookolaei

2015

Aerospace Science and Technology

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“…Dynamic analysis of the rotating delaminated beam has received limited attention. Recently, Liu and Shu [23] presented analytical solutions for the free vibrations of rotating isotropic beams with multiple delaminations. The Timoshenko beam theory and both the free mode and the …”

Section: Introductionmentioning

confidence: 99%

Dynamic behavior of a rotating delaminated composite beam including rotary inertia and shear deformation effects

Jafari-Talookolaei¹,

Della

2015

Ain Shams Engineering Journal

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A finite element (FE) model is developed to study the free vibration of a rotating laminated composite beam with a single delamination. The rotary inertia and shear deformation effects, as well as the bending-extension, bending-twist and extension-twist coupling terms are taken into account in the FE model. Comparison between the numerical results of the present model and the results published in the literature verifies the validity of the present model. Furthermore, the effects of various parameters, such as delamination size and location, fiber orientation, hub radius, material anisotropy and rotating speed, on the vibration of the beam are studied in detail. These results provide useful information in the study of the free vibration of rotating delaminated composite beams. Ó 2015 Faculty of Engineering, Ain Shams University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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“…Della et al [14][15][16] used the "free mode" and "constrained mode" assumptions to study beams with several delamination configurations. Liu and Shu [17] conducted free vibration analysis of rotating Timoshenko beams with multiple delaminations.…”

mentioning

confidence: 99%

Coupled bending-torsion vibration of a homogeneous beam with a single delamination subjected to axial loads and static end moments

Liu

Shu

2014

Acta Mech Sin

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Delaminations in structures may significantly reduce the stiffness and strength of the structures and may affect their vibration characteristics. As structural components, beams have been used for various purposes, in many of which beams are often subjected to axial loads and static end moments. In the present study, an analytical solution is developed to study the coupled bending-torsion vibration of a homogeneous beam with a single delamination subjected to axial loads and static end moments. Euler-Bernoulli beam theory and the "free mode" assumption in delamination vibration are adopted. This is the first study of the influences of static end moments upon the effects of delaminations on natural frequencies, critical buckling loads and critical moments for lateral instability. The results show that the effects of delamination on reducing natural frequencies, critical buckling load and critical moment for lateral instability are aggravated by the presence of static end moment. In turn, the effects of static end moments on vibration and instability characteristics are affected by the presence of delamination. The analytical results of this study can serve as a benchmark for finite element method and other numerical solutions.

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Free vibration analysis of rotating Timoshenko beams with multiple delaminations

Cited by 23 publications

References 15 publications

Analytical solution for the free vibration characteristics of the rotating composite beams with a delamination

Analytical solution for the free vibration characteristics of the rotating composite beams with a delamination

Dynamic behavior of a rotating delaminated composite beam including rotary inertia and shear deformation effects

Coupled bending-torsion vibration of a homogeneous beam with a single delamination subjected to axial loads and static end moments

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