Free vibration analysis of arbitrarily shaped Functionally Graded Carbon Nanotube-reinforced plates

Fantuzzi, Nicholas; Tornabene, Francesco; Bacciocchi, Michele; Dimitri, Rossana

doi:10.1016/j.compositesb.2016.09.021

Cited by 208 publications

(63 citation statements)

References 106 publications

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“…16 Density ρ = 2250 kg/m 3 Dimensional values h = 0.34 nm, L x = L y = 10 nm Figure 2 shows the variation of the natural frequency with the non-local parameter µ (Figure 2a) and dimensionless length scale l * = l/h (Figure 2b) within the proposed formulation, where both flat and curved geometries are compared in the presence or not of the viscoelastic damping parameter, namely g = 0.5 Ns/m 2 or g = 0 Ns/m 2 . The nanoplate features two sinusoidal corrugations with amplitude F = 0.5h (i.e., dimensionless amplitude F * = F/h = 0.5) and semi-length c = 0.25L x .…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Malikan and Nguyen [10] also examined the electro-magnetic nanoplates in a hygrothermal environment, by using a new plate theory in conjunction with a non-local strain gradient model. In this context, many other analytical and numerical works have focused on the vibration and buckling response of nanocomposite materials and structures also in thermal conditions, see e.g., [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30], among others.…”

Section: Introductionmentioning

confidence: 99%

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Effect of Sinusoidal Corrugated Geometries on the Vibrational Response of Viscoelastic Nanoplates

2018

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Abstract:The vibrational behavior of viscoelastic nanoplates with a corrugated geometry is a key topic of practical interest. This problem is addressed here for wrinkled nanoplates with small corrugations related to incorrect manufacturing. To this end, a new One-Variable First-order Shear Deformation plate Theory (OVFSDT) is proposed in a combined form with a non-local strain gradient theory. The Kelvin-Voigt model is employed to describe the viscoelastic behavior of the nanoplate, whereby the frequency equations are solved numerically according to Navier's approach, for simply-supported nanostructures. A comparative evaluation between the proposed theory and other approaches in the literature is successfully performed. It follows a large parametric study of the vibration response for varying geometry corrugations and non-local parameters.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of Sinusoidal Corrugated Geometries on the Vibrational Response of Viscoelastic Nanoplates

2018

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“…The mesh in Abaqus are generated by setting the number of elements on the plate radius and one-quarter of the circumference, respectively. Therefore, the following discretizations have been considered: (5, 1), (10,5), (20,15), (30,25), (40,35), (50,45), (60,55). It is remarked that the present models consider the double symmetry of the structure by meshing all plate four quarters in the same way.…”

Section: Circular Platesmentioning

confidence: 99%

On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

et al. 2018

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Abstract:The present work considers a computational study on laminated composite plates by using a linear theory for moderately thick structures. The present problem is solved numerically because analytical solutions cannot be found for such plates when lamination schemes are general and when all the stiffness constants are activated at the constitutive level. Strong and weak formulations are used to solve the present problem and several comparisons are given. The strong form is dealt with using the so-called Strong Formulation Finite Element Method (SFEM) and the weak form is solved using commercial Finite Element (FE) packages. Both techniques are based on the domain decomposition technique according to geometric discontinuities. The SFEM solves the strong form inside each element and needs the implementation of kinematic and static inter-element conditions, whereas the FE solves the weak form and the continuity conditions among the elements are given in terms of displacements only. The results are reported in graphical form in terms of the first three natural frequencies. The accuracy and stability of SFEM and FE are thoroughly discussed.

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“…The problem is approached numerically with the use of the GDQ method, as successfully applied in the literature for many applications, e.g., buckling problems and free vibrations of FG cantilever beams or shells reinforced with CNTs (see [29,[33][34][35][36][37] among others), the dynamics of undamaged and damaged arches with different shapes [38][39][40][41][42][43], as well as non-linear transient problems [44][45][46][47][48][49][50]. In the present work, we verify the ability of the GDQ method to capture the sensitivity of the structural response to the CNT pattern and volume fraction as well as to some geometry parameters.…”

Section: Among Others)mentioning

confidence: 99%

Thermal Buckling of Nanocomposite Stiffened Cylindrical Shells Reinforced by Functionally Graded Wavy Carbon Nanotubes with Temperature-Dependent Properties

et al. 2017

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Abstract:We study the thermal buckling behavior of cylindrical shells reinforced with Functionally Graded (FG) wavy Carbon NanoTubes (CNTs), stiffened by stringers and rings, and subjected to a thermal loading. The equilibrium equations of the problem are built according to the Third-order Shear Deformation Theory (TSDT), whereas the stiffeners are modeled as Euler Bernoulli beams. Different types of FG distributions of wavy CNTs along the radial direction of the cylinder are herein considered, and temperature-dependent material properties are estimated via a micromechanical model, under the assumption of uniform distribution within the shell and through the thickness. A parametric investigation based on the Generalized Differential Quadrature (GDQ) method aims at investigating the effects of the aspect ratio and waviness index of CNTs on the thermal buckling of FG nanocomposite stiffened cylinders, reinforced with wavy single-walled CNTs. Some numerical examples are here provided in order to verify the accuracy of the proposed formulation and to investigate the effects of several parameters-including the volume fraction, the distribution pattern of wavy CNTs, and the cylinder thickness-on the thermal buckling behavior of the stiffened cylinders made of CNT-reinforced composite (CNTRC) material.

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Free vibration analysis of arbitrarily shaped Functionally Graded Carbon Nanotube-reinforced plates

Cited by 208 publications

References 106 publications

Effect of Sinusoidal Corrugated Geometries on the Vibrational Response of Viscoelastic Nanoplates

Effect of Sinusoidal Corrugated Geometries on the Vibrational Response of Viscoelastic Nanoplates

On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

Thermal Buckling of Nanocomposite Stiffened Cylindrical Shells Reinforced by Functionally Graded Wavy Carbon Nanotubes with Temperature-Dependent Properties

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