A rigorous beam model for static and vibration analysis of generally laminated composite thick beams and shafts

Hajianmaleki, Mehdi; Qatu, Mohamad S.

doi:10.1504/ijvnv.2012.046464

Cited by 21 publications

(5 citation statements)

References 20 publications

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“…Karama [13] addressed his studies on composite beams, considering exponential functions to ensure the continuity of shear stresses. Dynamic and static analyses were performed on laminated beams in [14,15]. The dynamic stiffness method (DSM) was used in [16] to improve the prediction of flexural frequencies of laminated beams.…”

Section: Introductionmentioning

confidence: 99%

Static and free vibration analysis of laminated beams by refined theory based on Chebyshev polynomials

Filippi

Pagani

Petrolo

et al. 2015

Composite Structures

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Please cite this article as: Filippi, M., Pagani, A., Petrolo, M., Colonna, G., Carrera, E., Static and free vibration analysis of laminated beams by refined theory based on Chebyshev Polynomials, Composite Structures (2015), doi: http://dx.Abstract This paper presents a new class of refined beam theories for static and dynamic analysis of composite structures. These beam models are obtained by implementing higher-order expansions of Chebyshev polynomials for the three components of the displacement field over the beam cross-section. The Carrera Unified Formulation (CUF) is adopted to obtain higher-order beam models. The governing equations are written in terms of fundamental nuclei, which are independent of the choice of the expansion order and the interpolating polynomials. Static and free vibration analysis of laminated beams and thin walled boxes has been carried out. Results obtained with the novel Chebyshev Expansion (CE) model have been compared with those available in the literature. For comparison, Taylor-like Expansion (TE) and Lagrange Expansion (LE) CUF models, commercial codes, analytical and experimental data are exploited. The performances of refined beam models in terms of computational cost and accuracy in comparison to the reference solutions have been assessed. The analysis performed has pointed out the high level of accuracy reached by the refined beam models with lower computational costs than 2D and 3D Finite Elements.

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Section: Introductionmentioning

confidence: 99%

Static and free vibration analysis of laminated beams by refined theory based on Chebyshev polynomials

Filippi

Pagani

Petrolo

et al. 2015

Composite Structures

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“…In the above equations, K s is the shear correction factor in the Timoshenko theory which is considered as 5 6 for the beams with rectangular cross section. It is noteworthy that the shear correction factor is not the same for the FG beam as for the homogeneous beam; similarly, it is a function of the material distribution, especially the ratio of elastic moduli through the beam.…”

Section: Strain-displacement Equationsmentioning

confidence: 99%

“…Accordingly, after the introduction and widespread use of composites in structural engineering, the examination of vibrational properties pertaining to the mechanical organs made from these materials, and, in particular, the composite beams, has been emphasized by many researchers. The studies have been conducted based on different beam theories such as the classical beam theory or the Euler-Bernoulli beam theory [2][3][4], the firstorder shear deformation theory or the Timoshenko beam theory [5][6][7], the higher order shear deformation theory [8][9][10] or the layerwise theories [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of functionally graded graphene-reinforced nanocomposite beams with temperature-dependent properties

Shahrjerdi

Yavari

2018

J Braz. Soc. Mech. Sci. Eng.

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A temperature-dependent vibration analysis is conducted for the functionally graded nanocomposite beams which are reinforced by graphene. Material properties are assumed to change along the beams in five different types based upon the graphene distribution with a specific function. The differential equations of motion are extracted and solved using the spectral numerical method for the beams under various boundary conditions. The effect of distribution of functionally graded nanocomposite in the thickness direction of beams on the frequency response of vibration, and the effect of various parameters on the vibration response has been examined, such as the distribution function of nanographene plates, weight percentage, dimensions of nanographene plates, temperature changes, and thickness ratio. The results are compared and validated with numerical and analytical results reported in references for manifold boundary conditions. It is seen that the increase of graphene weight percentage in all boundary conditions will cause an increase in the natural frequency of the beams.

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“…where a ij is the compliance matrix obtained from inverse of matrix [ABD]. Several studies describe the methodology for calculating the equivalent modulus of laminated tubes using CLT [23,24]. Besides of CLT, other procedures like dimensional reduction method based on polynomials and Rayleigh-Ritz method is presented by other author to obtain the cross-sectional properties [25,26].…”

Section: Predicting the Mechanical Properties Of Composite Shaftsmentioning

confidence: 99%

The dynamic analysis of rotors mounted on composite shafts with internal damping

Mendonça

Medeiros

Pereira

et al. 2017

Composite Structures

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This paper presents a study on the dynamic analysis of rotors mounted on composite shafts. The dynamic analysis of these rotors differs from conventional analysis due to the existence of internal damping in the shaft. The shafts are made of composite materials, which exhibit viscoelastic behavior. The equations of motion for these rotors represent the influence of internal damping on the dynamic behavior of the rotor system. Composite materials can be manufactured using different layups. This study reviews the methodology that can be used to predict the equivalent mechanical properties of composite shafts. Several finite element simulations are presented to show the influence of the composite shaft layup on the dynamic behavior of the rotor. The simulation results are used to present the influence of the layup on Campbell diagrams, critical speeds, instability thresholds and frequency response functions.

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A rigorous beam model for static and vibration analysis of generally laminated composite thick beams and shafts

Cited by 21 publications

References 20 publications

Static and free vibration analysis of laminated beams by refined theory based on Chebyshev polynomials

Static and free vibration analysis of laminated beams by refined theory based on Chebyshev polynomials

Free vibration analysis of functionally graded graphene-reinforced nanocomposite beams with temperature-dependent properties

The dynamic analysis of rotors mounted on composite shafts with internal damping

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