Dynamics of a functionally graded Timoshenko beam considering new spectrums

Gül, Ufuk; Aydoğdu, Metin; Karacam, Fatih

doi:10.1016/j.compstruct.2018.09.021

Cited by 14 publications

(3 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Functionally graded materials (FGMs) are new types of composites obtained by mixing ceramic and metallic constituents [1][2][3][4]. Material properties vary continuously through the beam-thickness in function of the mixing proportion.…”

Section: Introductionmentioning

confidence: 99%

A Refined Theory for Bending Vibratory Analysis of Thick Functionally Graded Beams

2021

View full text Add to dashboard Cite

A refined beam theory that takes the thickness-stretching into account is presented in this study for the bending vibratory behavior analysis of thick functionally graded (FG) beams. In this theory, the number of unknowns is reduced to four instead of five in the other approaches. Transverse displacement is expressed through a hyperbolic function and subdivided into bending, shear, and thickness-stretching components. The number of unknowns is reduced, which involves a decrease in the number of the governing equation. The boundary conditions at the top and bottom FG beam faces are satisfied without any shear correction factor. According to a distribution law, effective characteristics of FG beam material change continuously in the thickness direction depending on the constituent’s volume proportion. Equations of motion are obtained from Hamilton’s principle and are solved by assuming the Navier’s solution type, for the case of a supported FG beam that is transversely loaded. The numerical results obtained are exposed and analyzed in detail to verify the validity of the current theory and prove the influence of the material composition, geometry, and shear deformation on the vibratory responses of FG beams, showing the impact of normal deformation on these responses which is neglected in most of the beam theories. The obtained results are compared with those predicted by other beam theories. It can be concluded that the present theory is not only accurate but also simple in predicting the bending and free vibration responses of FG beams.

show abstract

Section: Introductionmentioning

confidence: 99%

A Refined Theory for Bending Vibratory Analysis of Thick Functionally Graded Beams

2021

View full text Add to dashboard Cite

show abstract

“…Functionally graded materials (FGMs) are new types of composites obtained by mixing ceramic and metallic constituents [1][2][3][4]. Material properties vary continuously through the beamthickness in function of the mixing proportion.…”

Section: Introductionmentioning

confidence: 99%

A Modified Approach for Bending Vibratory Analysis of Thick Functionally Graded Beams

Boutahar¹,

Lebaal²,

Bassir³

2021

Prime Archives in Applied Mathematics

View full text Add to dashboard Cite

A refined beam theory taking a count the thickness-stretching is presented in this research for bending vibratory behaviour analysis of thick functionally graded (FG) beams. In this theory, the number of unknowns is reduced to four instead of five in the other approaches. Transverse displacement is expressed through a hyperbolic function and subdivided into bending, shear, and thickness-stretching components. The number of unknowns is reduced, which involves a decrease in the number of the governing equation. The boundary conditions at the top and bottom FG-beam faces are satisfied without any shear correction factor. According to a distribution law, effective characteristics of FG beam material change continuously in the thickness direction depending on the constituent's volume proportion. Equations of motion are obtained from Hamilton's principle and are solved by assuming the Navier's solution type, for the case of a supported FG beam, transversely loaded. Numerical results obtained are exposed and analysed in detail to verify the validity of the current theory and prove the influence of the material composition, geometry, shear deformation on the vibratory responses of FG beams, and show the impact of normal deformation on these responses which is neglected in most of the beam theories. The obtained results are compared with those predicted by other beam theories. It can be concluded that the present theory is not only accurate but also simple in predicting the bending and free vibration responses of FG-beam.

show abstract

“…There existed an obvious difference for the dynamic and wave propagation characteristics between the FGM and pure metal. Gul et al (2019) studied the wave propagation property of infinite FGM beam under simple supports. The wave propagation characteristics for nanoscaled FGM beams were investigated by using analytic model Li et al (2015), and it was found that the effects of power-law index are of importance on the dispersion relations for the nano-scaled FGM beams.…”

Section: Introductionmentioning

confidence: 99%

Vibration response and band gap characteristics of functionally graded frame structure

Liu

Yuan³

et al. 2020

Journal of Vibration and Control

View full text Add to dashboard Cite

Vibration response and band gap characteristics of the functionally graded frame structures are investigated based on the first-order shear deformation theory. The material properties of functionally graded material rods vary continuously in thickness direction according to a power law. Spectral stiffness matrix of the periodic functionally graded material frame structure in the global coordinate system is derived in detail. Consequently, the vibration band gap properties of the functionally graded material frame structure can be calculated and analyzed by using the spectral element method. The calculation accuracy for dynamic responses of the functionally graded material frame structure is validated by the finite element method. The results demonstrate that the wider band gaps in the low and medium frequency ranges can be achieved for the functionally graded frame structures comparing with the homogeneous ones. Moreover, the frequency windows and ranges for the band gaps of the functionally graded material frame structure can be effectively adjusted through designing the gradient indexes for the functionally graded material rods, which provide a novel idea for vibration suppression of frame structures.

show abstract

Dynamics of a functionally graded Timoshenko beam considering new spectrums

Cited by 14 publications

References 36 publications

A Refined Theory for Bending Vibratory Analysis of Thick Functionally Graded Beams

A Refined Theory for Bending Vibratory Analysis of Thick Functionally Graded Beams

A Modified Approach for Bending Vibratory Analysis of Thick Functionally Graded Beams

Vibration response and band gap characteristics of functionally graded frame structure

Contact Info

Product

Resources

About