Bending analysis of laminated sector plates with polar and rectilinear orthotropy

The three-layer annular composite sandwich sector plate is investigated numerically using the dynamic relaxation method. The upper and lower faces consist of un-symmetrical rectangular orthotropic laminates, and the core is based on viscoelastic material. The non-linear governing equations are considered using the first-order shear deformation theory and large deflection type of deformation. The constitutive relations of sandwich are presented for laminated faces, and the linear viscoelastic core is considered for the Boltzmann superposition principle. The dynamic relaxation iterative procedure in conjunction with finite-difference discretization is performed for the solution of the governing equations. Under uniform lateral pressure as well as clamped and simply supported edged constraints, the plate deformation is predicted for different times. In order to verify the dynamic relaxation algorithm, the elastic sector plate is compared with finite element solutions, and it is established that the correlations are very satisfactory. The dimensionless deflections, stress resultants, and stress couples of sandwich plates with viscoelastic core are illustrated to show the creep behavior of the plate with an increase in time.

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“…The material property and plate geometry of this plate are presented in Maleki and Tahani [26] r o r i ¼ 3, h r o ¼ 0:04, 0:06, ¼ 60 ,…”

Section: Verification Of Dr Algorithmmentioning

confidence: 99%

“…where (N ij , M ij , Q ij ) tf denote respectively, the stress, the stress couple, and the shear stress resultant of upper and lower faces, and K s is the shear correction factor in FSDT and assumed as 5/6 [1,26,27].…”

Section: Constitutive Equationsmentioning

confidence: 99%

Dynamic relaxation analysis of composite sandwich annular sector plate with viscoelastic core

Salehi

Marashizadeh

Abshirini

2015

Jnl of Sandwich Structures & Materials

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“…To eliminate this deficiency, the FSDT was developed then, which assumes constant states of the transverse shear stresses through the plate thickness. There is also a great deal of research on the plate structure on the basis of FSDTs [11][12][13][14][15][16][17][18][19][20][21][22][23]. Generally, the shear correction factor is used to adjust the transverse shear stiffness as a constant, which differs from the fact that the shear correction factor is determined by the material properties and boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

“…Andakhshideh et al [20] extended the generalized differential quadrature method for nonlinear static analysis of laminated sector plates with any combination of clamped, simply supported and free edges. Maleki and Tahani [21] employed the generalized differential quadrature method to study the bending of laminated sector plates with both polar and rectilinear orthotropy. Golmakani and Mehrabian [22] performed the elastic large deflection analysis of axisymmetric ring-stiffened circular and annular general angle-ply laminated plates subjected to transverse uniform load by dynamic relaxation (DR) method.…”

Section: Introductionmentioning

confidence: 99%

A modified Fourier solution for vibration analysis of moderately thick laminated annular sector plates with general boundary conditions, internal radial line and circumferential arc supports

Pang

Miao³

et al. 2017

Curved and Layered Structures

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Abstract:In this paper, a modified Fourier solution based on the first-order shear deformation theory is developed for the free vibration problem of moderately thick composite laminated annular sector plates with general boundary conditions, internal radial line and circumferential arc supports. In this solution approach, regardless of boundary conditions, the displacement and rotation components of the sector plate are written in the form of the trigonometric series expansion in which several auxiliary terms are added to ensure and accelerate the convergence of the series. Each of the unknown coefficients is taken as the generalized coordinate and determined using the RaleighRitz method. The accuracy and reliability of the present solution are validated by the comparison with the results found in the literature, and numerous new results for composite laminated annular sector plates considering various kinds of boundary conditions are presented. Comprehensive studies on the effects of elastic restraint parameters, layout schemes and locations of line/arc supports are also made. New results are obtained for laminated annular sector plates subjected to elastic boundary restraints and arbitrary internal radial line and circumferential arc supports in both directions, and they may serve as benchmark solutions for future researches.

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“…In paper [3] free vibration tests have been conducted to study the effect of low-velocity impact induced damage consisting of inter-laminar delamination accompanied by matrix cracking on the natural frequencies of thin composite laminated circular plates. In paper [4] bending of sector plates with both polar and rectilinear orthotropy is investigated using generalized differential quadrature method. Various combinations of clamped, simply supported and free boundary conditions are implemented.…”

Section: Introductionmentioning

confidence: 99%

Bending vibrations of an orthotropic plate with Braille elements

Kibirkštis¹,

Vaitasius²,

Bakanauskas³

et al. 2018

J. vibroeng.

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Purpose of this research is to investigate the vibrations of the orthotropic plate which has Braille elements formed on its surface. Results of investigations are applied in the process of formation of Braille elements. Bending of orthotropic plate is investigated. Supplementary stiffness from the static loading in the plane stress problem caused by centrifugal forces is taken into account. Experimental investigations on a special designed experimental setup were performed. Correspondence of the experimental results with the numerical ones is determined.

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Bending analysis of laminated sector plates with polar and rectilinear orthotropy

Cited by 18 publications

References 21 publications

Dynamic relaxation analysis of composite sandwich annular sector plate with viscoelastic core

Dynamic relaxation analysis of composite sandwich annular sector plate with viscoelastic core

A modified Fourier solution for vibration analysis of moderately thick laminated annular sector plates with general boundary conditions, internal radial line and circumferential arc supports

Bending vibrations of an orthotropic plate with Braille elements

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