Dynamic analysis of sandwich beams with functionally graded core using a truly meshfree radial point interpolation method

Bui, Tinh Quoc; Khosravifard, Amir; Zhang, Ch.; Hematiyan, M. R.; Golub, Mikhail V.

doi:10.1016/j.engstruct.2012.03.041

Cited by 154 publications

(47 citation statements)

References 64 publications

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“…five natural frequencies are given in Table 3 along with results of Bui et al [2] using 3D finite element model (ANSYS) and meshfree method as well as of Mashat et al [17] using the Carrera Unified Formulation (TE8 zz and E4-4 2 ). It can be seen that the solutions obtained from the proposed theory are in excellent agreement with those obtained from previous results, especially with CUF model, which included the stretching effect.…”

Section: Fg Sandwich Beamsmentioning

confidence: 99%

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A quasi-3D theory for vibration and buckling of functionally graded sandwich beams

Thai

Nguyen

et al. 2015

Composite Structures

160

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This paper presents a finite element model for free vibration and buckling analyses of functionally graded (FG) sandwich beams by using a quasi-3D theory in which both shear deformation and thickness stretching effects are included. Sandwich beams with FG skins-homogeneous core and homogeneous skins-FG core are considered. By using the Hamilton's principle, governing equations of motion for coupled axial-shear-flexural-stretching response are derived. The resulting coupling is referred to as fourfold coupled vibration and buckling. Numerical examples are carried out to investigate the thickness stretching effect on natural frequencies and critical buckling loads as well as mode shapes of sandwich beams for various power-law indexes, skin-core-skin thickness ratios and boundary conditions.

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Section: Fg Sandwich Beamsmentioning

confidence: 99%

“…Amirani et al [1] used the element free Galerkin method to study free vibration analysis of sandwich beam with FG core. Bui et al [2] investigated transient responses and natural frequencies of sandwich beams with FG core. Vo et al…”

Section: Introductionmentioning

confidence: 99%

A quasi-3D theory for vibration and buckling of functionally graded sandwich beams

Thai

Nguyen

et al. 2015

Composite Structures

160

View full text Add to dashboard Cite

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“…Table-3 shows the first six natural frequencies of the sandwich beam with the FG core. Results obtained by other methods [9] are also presented. Using IGA with coarse meshes yields to accuracy around 0.1% comparing with reference results (fine mesh FEM using ANSYS) as presented in Table-3.…”

Section: Free Vibration Of a Sandwich Beam With A Fg Corementioning

confidence: 99%

“…The Mori-Tanaka homogenization technique [8] is also used for model verification purposes. A summary of the governing equations can be stated as follows: Fig.1 Volume fraction versus the non-dimensional thickness for various of the FG core, figure from [9] Rule Of Mixtures (ROM) method:…”

Section: Short Introduction To Fgm and Homogenization Techniquementioning

confidence: 99%

Interfacial shear stress optimization in sandwich beams with polymeric core using non-uniform distribution of reinforcing ingredients

Ghasemi

Kerfriden

Bordas

et al. 2015

Composite Structures

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Core shearing and core/face debonding are two common failure states of sandwich beams which are mainly the result of excessive shear stresses in the core. Generally, the core made of homogeneous Fiber Reinforced Polymer (FRP) shows better shear resistance in comparison with that made of pure polymer. Usually, this enhancement is however somewhat limited. This paper proposes a methodology to decrease interfacial stresses by presenting the optimal distribution of reinforcing ingredients in the polymeric matrix. For this purpose, a Non-Uniform Rational B-spline (NURBS) based reinforcement distribution optimizer is developed. This technique aims at the local stress minimization within any arbitrary zone of the design domain. In our methodology, optimization and model analysis have common data sets. The quadratic NURBS basis functions smoothly define the reinforcement distribution function as a NURBS surface. The core and face sheets are modeled as multi-patches and compatibility in the displacement field is enforced by the penalty method. An adjoint sensitivity method is devised to minimize the objective function within areas of interest defined over arbitrary regions in the design domain. It is also used for efficient updating of design variables through optimization iterations. The method is verified by several examples. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 - --------------------------------------------------------------------------------------------------------------------

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“…Isogeometric buckling and free vibration analysis of thin laminated composite plates with cutouts is given by Yin et al [67]. Mesh-free methods [68][69][70] have recently been employed for analysis of composites obtaining accurate results.…”

Section: Introductionmentioning

confidence: 99%

C0 Layerwise Model with Fixed Degrees of Freedom and Variable In- and Out-of-Plane Kinematics by Strain Energy Updating Technique

Icardi

Sola

2015

Aerospace

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Abstract:Physically based zigzag models have the merit of giving accurate stress predictions for laminates and sandwiches keeping fixed the functional degrees of freedom, though at the expense of the introduction of their derivatives. In the present paper, a technique that enables deleting these derivatives is developed. The objective is finding a priori corrections of displacements, which make the energy of the model with all the derivatives neglected equivalent to that of its initial counterpart model containing all the derivatives. Numerical applications show that this technique can obtain accurate results, even for strongly asymmetrical lay-ups, keeping low the computational cost.

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Dynamic analysis of sandwich beams with functionally graded core using a truly meshfree radial point interpolation method

Cited by 154 publications

References 64 publications

A quasi-3D theory for vibration and buckling of functionally graded sandwich beams

A quasi-3D theory for vibration and buckling of functionally graded sandwich beams

Interfacial shear stress optimization in sandwich beams with polymeric core using non-uniform distribution of reinforcing ingredients

C0 Layerwise Model with Fixed Degrees of Freedom and Variable In- and Out-of-Plane Kinematics by Strain Energy Updating Technique

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