Semi-analytical Vibration Characteristics of Rotating Timoshenko Beams Made of Functionally Graded Materials

Ebrahimi, Farzad; Mokhtari, Mohadese

doi:10.1590/1679-78251446

Cited by 3 publications

(2 citation statements)

References 19 publications

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“…The present results are compared with those reported by Ebrahimi and Mokhtari [31] in Table 4. The excellent agreement observed for this particular problem, in addition to the previous examples, should confirm the accuracy of the present model.…”

Section: Comparative Studymentioning

confidence: 51%

Vibration characteristics of rotating functionally graded porous beams reinforced by graphene platelets

Binh

Quoc

Duong

et al. 2021

STCE

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This work aims to study the vibration characteristics of the rotating functionally graded porous beam reinforced by graphene platelets. The beam is mounted and rotated around a hub with a constant velocity. The material properties vary along the thickness direction with two types of porosity distributions and two dispersion patterns of graphene platelet. The equations of motion based on the Timoshenko beam theory are obtained and solved using the Chebyshev-Ritz method. The effects of the parameters such as hub radius, rotating speed, weight fraction, porosity distribution, porosity coefficient, and dispersion model are presented. The present method results are also compared with numerical results available in the literature.

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Section: Comparative Studymentioning

confidence: 51%

Vibration characteristics of rotating functionally graded porous beams reinforced by graphene platelets

Binh

Quoc

Duong

et al. 2021

STCE

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show abstract

“…Due to the advantages and increasing use of FGMs and importance of the beam structures in the engineering field, many studies have been performed on the vibration problems of FG beams [14][15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Free Vibration of Functionally Graded Rayleigh Beam

Avcar¹,

Alwan²

2017

International Journal of Engineering &Amp; Applied Sciences

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In the present study, free vibration of Rayleigh beam composed of functionally graded materials (FGMs) is investigated. For this purpose, the equation of the motion of functionally graded (FG) beam derived according to Rayleigh beam theory. The material properties are assumed to vary continuously through the thickness of the beam according to the power-law form. Resulting equations are solved for simply supported boundary conditions. In order to validate the results, a comparison is carried out with available results for homogeneous beam. The effects of varying material properties on the dimensionless free vibration frequency parameters are examined. It is seen that varying material properties have significant effects on dimensionless free vibration frequency parameters of FG Rayleigh beam

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Mechanical Behavior of Functionally Graded Nano-Cylinders Under Radial Pressure Based on Strain Gradient Theory

Shishesaz

Hosseini

2018

J. mech.

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In this paper, the mechanical behavior of a functionally graded nano-cylinder under a radial pressure is investigated. Strain gradient theory is used to include the small scale effects in this analysis. The variations in material properties along the thickness direction are included based on three different models. Due to slight variations in engineering materials, the Poisson’s ratio is assumed to be constant. The governing equation and its corresponding boundary conditions are obtained using Hamilton’s principle. Due to the complexity of the governed system of differential equations, numerical methods are employed to achieve a solution. The analysis is general and can be reduced to classical elasticity if the material length scale parameters are taken to be zero. The effect of material index n, variations in material properties and the applied internal and external pressures on the total and high-order stresses, are well examined. For the cases in which the applied external pressure at the inside (or outside) radius is zero, due to small effects in nano-cylinder, some components of the high-order radial stresses do not vanish at the boundaries. Based on the results, the material inhomogeneity index n, as well as the selected model through which the mechanical properties may vary along the thickness, have significant effects on the radial and circumferential stresses.

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Semi-analytical Vibration Characteristics of Rotating Timoshenko Beams Made of Functionally Graded Materials

Cited by 3 publications

References 19 publications

Vibration characteristics of rotating functionally graded porous beams reinforced by graphene platelets

Vibration characteristics of rotating functionally graded porous beams reinforced by graphene platelets

Free Vibration of Functionally Graded Rayleigh Beam

Mechanical Behavior of Functionally Graded Nano-Cylinders Under Radial Pressure Based on Strain Gradient Theory

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