Size-dependent sinusoidal beam model for dynamic instability of single-walled carbon nanotubes

Bidgoli, A. M. Moniri; Kolahchi, Reza

doi:10.1007/s10483-016-2030-8

Cited by 56 publications

(11 citation statements)

References 23 publications

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“…Finally, based on DQM [21, 22], the governing equations can be written as the following couple matrix equations in which [KL] and [KNL] denote the linear and nonlinear stiffness matrices, respectively; [C] is the damp matrix; [KG] indicates the geometric matrix; and [M] is the mass matrix. Also {Y} presents the displacement vector (i.e.…”

Section: Mathematical Modelingmentioning

confidence: 99%

Optimization of dynamic buckling for sandwich nanocomposite plates with sensor and actuator layer based on sinusoidal-visco-piezoelasticity theories using Grey Wolf algorithm

Kolahchi

Keshtegar

Fakhar

2017

Jnl of Sandwich Structures & Materials

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Optimization of embedded piezoelectric sandwich nanocomposite plates for dynamic buckling analysis is presented in this work based on Grey Wolf algorithm. The Grey Wolf algorithm mimics the leadership hierarchy and hunting mechanism of grey wolves in nature. In addition, the main steps of hunting, searching for prey, encircling prey, and attacking prey are employed. The structure is composed of a laminated functionally graded-carbon nanotubes reinforced layers as core integrated with sensor and actuator layers considering structural damping effects. Two-dimensional magnetic and 3D electric fields are applied to core and piezoelectric layers, respectively. Sinusoidal shear deformation theory is utilized for obtaining the motion equations and differential quadrature method is applied for solution. Also, a proportional–derivative controller is employed to control the dynamic behavior of the structure. Finally, the optimum designs for the structure are evaluated using proposed Grey Wolf algorithm based on the geometrical parameters of plate, applied voltage, controller parameters, volume fraction of carbon nanotubes, spring, and shear constants of foundation. Numerical results indicate that by applying the positive voltage and transverse magnetic field the optimum dimensionless frequency of the system decreases.

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Section: Mathematical Modelingmentioning

confidence: 99%

Optimization of dynamic buckling for sandwich nanocomposite plates with sensor and actuator layer based on sinusoidal-visco-piezoelasticity theories using Grey Wolf algorithm

Kolahchi

Keshtegar

Fakhar

2017

Jnl of Sandwich Structures & Materials

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“…DQM has several benefits that are listed as below [22–26]: DQM is a powerful method which can be used to solve numerical problems in the analysis of structural and dynamical systems. The accuracy and convergence of the DQM is higher than FEM. DQM is an accurate method for solution of nonlinear differential equations in approximation of the derivatives. This method can easily and exactly satisfy a variety of boundary conditions and require much less formulation and programming effort. Recently, DQM has been extended to handle irregular shaped. …”

Section: Dqmmentioning

confidence: 99%

“…The DQM approximates the partial derivative of a function F , with respect to two spatial variables ( x and ϕ) at a given discrete point (xi,ϕi), as a weighted linear sum of the function values at all discrete points chosen in the solution domain (0<x<L,0<ϕ<2π) with Nx×Nϕ grid points along x and ϕ axes, respectively. Then, the nth-order partial derivative of F(x,ϕ) with respect to x , the mth-order partial derivative of F(x,ϕ) with respect to ϕ and the (n + m)th-order partial derivative of F(x,ϕ) with respect to both x and ϕ is expressed discretely at the point (xi,ϕi) as [22–27] …”

Section: Dqmmentioning

confidence: 99%

Vibration and buckling analysis of laminated sandwich conical shells using higher order shear deformation theory and differential quadrature method

Nasihatgozar

Khalili

2017

Jnl of Sandwich Structures & Materials

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Vibration and buckling analysis of laminated sandwich truncated conical shells with compressible or incompressible core are presented in this work considering curvature effects. The formulation uses the quadratic and cubic functions for transverse and in-plane displacements of the core and the first-order shear deformation theory for the face sheets. The motion equations of each individual layer are derived according to the principle of minimum total potential energy considering the continuity of the displacements and the internal stress fields at the interfaces. Differential quadrature method is applied in order to obtain the frequency and buckling load of the sandwich structure. The effects of different parameters such as core to face sheet stiffness ratio, number of layers of the face sheets, boundary condition, geometrical parameters of the core and the face sheets, semi vertex angle of the cone, trapezoidal shape, and in-plane stresses of the core are examined on the vibration and buckling response of sandwich truncated conical shells. Comparison of the present results with those reported in the literature confirms the accuracy of the proposed theory. Numerical results indicate that the effects of in-plane stresses of the core significantly affect the frequency with increasing the core to face sheet stiffness ratio.

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“…The external work due to orthotropic temperature-dependent elastomeric medium and a uniform load on the upper surface of the CNTRC plate can be written as [15] ( 4.4) ,…”

Section: Elastic Mediummentioning

confidence: 99%

Magneto-Thermo-Mechanical Buckling Analysis of Mindlin Plate Reinforced with FG-Carbon Nanotubes

Kolahchi¹,

Esmailpour²,

Safari³

2016

Archives of Civil Engineering

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A buckling analysis of temperature-dependent embedded plates reinforced by single-walled carbon nanotubes (SWCNTs) subjected to a magnetic field is investigated. The SWCNTs are distributed as uniform (UD) and three types of functionally graded nanotubes (FG), in which the material properties of the nano-composite plate are estimated based on the mixture rule. The surrounding temperature-dependent elastic medium is simulated as Pasternak foundation. Based on the orthotropic Mindlin plate theory, the governing equations are derived using Hamilton's principle. The buckling load of the structure is calculated based on an exact solution by the Navier method. The influences of elastic medium, magnetic field, temperature and distribution type, and volume fractions of SWCNT are shown on the buckling of the plate. Results indicate that CNT distribution close to the top and bottom are more efficient than that distributed near the mid-plane for increasing the stiffness of the plates.

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Size-dependent sinusoidal beam model for dynamic instability of single-walled carbon nanotubes

Cited by 56 publications

References 23 publications

Optimization of dynamic buckling for sandwich nanocomposite plates with sensor and actuator layer based on sinusoidal-visco-piezoelasticity theories using Grey Wolf algorithm

Optimization of dynamic buckling for sandwich nanocomposite plates with sensor and actuator layer based on sinusoidal-visco-piezoelasticity theories using Grey Wolf algorithm

Vibration and buckling analysis of laminated sandwich conical shells using higher order shear deformation theory and differential quadrature method

Magneto-Thermo-Mechanical Buckling Analysis of Mindlin Plate Reinforced with FG-Carbon Nanotubes

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