Determination of critical buckling loads of isotropic, FGM and laminated truncated conical panel

Demir, Çiğdem; Mercan, Kadir; Cívalek, Ömer

doi:10.1016/j.compositesb.2016.03.031

Cited by 105 publications

(37 citation statements)

References 72 publications

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“…Detailed formulation of discrete singular convolution and detail of application of this method to some solid and fluid mechanical problems are given by Wei . Vibration analysis of some mechanical components such as rods, plates, shells and beams are studied by discrete singular convolution . The method of discrete singular convolution (DSC) is an effective and simple approach for the numerical verification of singular convolutions, which occur commonly in mathematical physics and engineering .…”

Section: Discrete Singular Convolution (Dsc)mentioning

confidence: 99%

“…The discrete singular convolution method has been extensively used in scientific computations in past 10 years. For more details of the mathematical background and application of the DSC method to solve engineering problems, the readers may refer to some recently published references . In the context of distribution theory, a singular convolution can be defined by Reference .…”

Section: Discrete Singular Convolution (Dsc)mentioning

confidence: 99%

“…[56][57][58][59][60] Vibration analysis of some mechanical components such as rods, plates, shells and beams are studied by discrete singular convolution. [61][62][63][64][65][66][67][68][69][70][71][72][73][74] The method of discrete singular convolution (DSC) is an effective and simple approach for the numerical verification of singular convolutions, which occur commonly in mathematical physics and engineering. [75][76][77][78][79] The discrete singular convolution method has been extensively used in scientific computations in past 10 years.…”

Section: Discrete Singular Convolution (Dsc)mentioning

confidence: 99%

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Vibration of functionally graded carbon nanotube reinforced quadrilateral plates using geometric transformation discrete singular convolution method

Cívalek

2019

Numerical Meth Engineering

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Summary Free vibration characteristics of thick skew plates reinforced by functionally graded carbon nanotubes (CNTs) reinforced composite are presented. Discrete singular convolution (DSC) method is used for the numerical solution of vibration problems via geometric mapping technique. Using the geometric transformation via a four‐node element, the straight‐sided quadrilateral physical domain is mapped into a square domain in the computational space. Then the method of discrete singular convolution with some singular kernels such as Regularized Shannon's delta (RSD) and Lagrange's delta kernels (LDK) have been used for spatial discretizing of the resulting governing equation of motion. Calculated results have been presented in order to show the effects of volume fraction of CNT, skew angles, CNT distribution types, plate aspect ratio and length‐to‐thickness ratio on the frequency of CNT reinforced skew plate. The current results are compared with the related results available in the literature and obtained by different methods. It is shown that reasonable accurate results are obtained for free vibration of nanocomposite plates with less computational effort for higher modes. Several test examples for different plate have been selected to demonstrate the convergence properties, accuracy, and simplicity in numerical implementation of DSC procedures. This approach has verified the accuracy and applicability of DSC method to the class of problem considered in this study. Furthermore, in the numerical examples in the scope of the study, the results obtained with DSC method using a coarser grid are more accurate than the values obtained by finite elements and differential quadrature (DQ) methods. It is also revealed that the method of discrete singular convolution is a promising and potential approach for computational mechanics of nonrectangular plates with nanocomposite reinforced.

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Section: Discrete Singular Convolution (Dsc)mentioning

confidence: 99%

Section: Discrete Singular Convolution (Dsc)mentioning

confidence: 99%

Section: Discrete Singular Convolution (Dsc)mentioning

confidence: 99%

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Vibration of functionally graded carbon nanotube reinforced quadrilateral plates using geometric transformation discrete singular convolution method

Cívalek

2019

Numerical Meth Engineering

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“…Many researchers have been used of this method for numerical solution of some physics and engineering problems [67][68][69][70][71][72]. Vibration, bending and buckling modeling of one and two-dimensional structural components by DSC method were presented and discussed in literature [73][74][75][76][77][78][79][80]. These study show that the method of DSC is very practical and efficient for different scaled mechanical systems [81][82][83][84][85][86][87][88][89][90][91][92][93][94][95][96][97][98][99].…”

Section: Discrete Singular Convolution (Dsc)mentioning

confidence: 99%

Free vibration analysis of annular sector plates via conical shell equations

Demir

Ersoy

Mercan

et al. 2017

Curved and Layered Structures

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Abstract:In this paper, free vibration analysis of annular sector plates has been presented via conical shell equations. By using the first-order shear deformation theory (FSDT) equation of motion of conical shell is obtained. The method of discrete singular convolution (DSC) and method differential quadrature (DQ) are used for solution of the vibration problem of annular plates for some special value of semi-vertex angle via conical shell equation. The obtained numerical results based on the two numerical approaches for annular sector plates compare well with the results available in the literature. The effects of some geometric parameters, grid numbers and types of the grid distribution have been discussed for curved plates.

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“…Analysis results help to understand the behavior of structures. Analyzes of macro and nano-sized structures are studied in various methods [9][10][11][12][13][14]. In this paper, the vibration of CNT is studied by using Euler-Bernoulli Beam Theory.…”

Section: Introductionmentioning

confidence: 99%

Carbon Nanotube Beam Model and Free Vibration Analysis

Uzun¹,

Cívalek²

2018

International Journal of Engineering and Applied Sciences

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Thanks to their superior properties, the interest on nanostructures has increased. Among the nanostructures, carbon nanotubes have an important place. In this study, the free vibration of Carbon Nanotubes is investigated. CNT is modeled as a beam. Four different cross-sections are selected such as circular, rectangular, triangular and quadratic for use in the solution. The frequency values of the first five modes of these 4 different crosssections with the same area have been gained by using Euler-Bernoulli Beam Theory for simply supported boundary condition. The results are compared. In this study, it is aimed to understand how the mode number and cross-section change the frequency values.

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Determination of critical buckling loads of isotropic, FGM and laminated truncated conical panel

Cited by 105 publications

References 72 publications

Vibration of functionally graded carbon nanotube reinforced quadrilateral plates using geometric transformation discrete singular convolution method

Vibration of functionally graded carbon nanotube reinforced quadrilateral plates using geometric transformation discrete singular convolution method

Free vibration analysis of annular sector plates via conical shell equations

Carbon Nanotube Beam Model and Free Vibration Analysis

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