Static stability of laminated composite circular plates with holes using shear deformation theory

Baltaci, Aysun; Sarıkanat, Mehmet; Yıldız, Hasan

doi:10.1016/j.finel.2007.05.004

Cited by 14 publications

(8 citation statements)

References 7 publications

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“…Considering equation (3), equation (22) shows that each displacement and rotation component of the plate at most has second-order derivatives. In next subsection, a set of appropriately constructed admissible displacement functions of the laminated composite sector plate are presented.…”

Section: Equations Of Motionmentioning

confidence: 99%

“…Thus, the laminated composite structures, i.e. the laminated composite rectangular plates, [1][2][3][4][5][6][7][8][9][10][11][12][13][14] circular and annular plates, [15][16][17][18][19][20][21][22][23][24][25][26] sector plates, [27][28][29][30][31][32][33][34][35] shells [36][37][38][39][40][41][42][43][44][45][46][47][48][49] and so on, have a wide application in the practical engineering, such as aircraft, space vehicles, and military industries. Notably, these structures frequently work in complex environments and may suffer to arbitrary boundary restraints.…”

Section: Introductionmentioning

confidence: 99%

“…Heyliger and Ramirez 21 used a discrete-layer model of the weak form of the equations of the periodic motion to investigate the free vibration characteristics of laminated circular piezoelectric plates and discs with classical boundary conditions. The behavior of buckling of laminated composite circular plates having circular holes and subjected to uniform radial load was investigated by Baltaci et al 22 using the finite element method. Nallim et al 23 employed the Rayleigh-Ritz method to research the free vibration of symmetrically laminated elliptical and circular plates with classical boundary conditions and elastic boundary restrains against rotation and translation on the basis of the thin plate theory.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An improved Fourier series solution for the dynamic analysis of laminated composite annular, circular, and sector plate with general boundary conditions

Wang

Shi

Liang

et al. 2016

Journal of Composite Materials

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In this article, the authors presented a unified solution for the dynamic analysis of laminated composite annular, circular, and sector plate with general boundary conditions. The first-order shear deformation theory is employed to formulate the theoretical model. Regardless of the shapes of the plates and the types of boundary conditions, each displacement and rotation component of the elements is expanded as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. Since the displacement fields are constructed adequately smooth throughout the entire solution domain, an exact solution is obtained based on the Rayleigh–Ritz procedure by the energy functions of the plates. The accuracy, reliability, and versatility of the current solution is fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of free vibration analysis for composite laminated annular sector plate, circular sector plate, annular plate, and circular plate are presented, which may be served as benchmark solution for future computational methods. The effects of the sector angles, layer numbers, and boundary spring stiffness on vibration characteristics of the plates are reported. In addition, the force vibration analysis of the plates is also studied. The influence of the boundary spring stiffness, layer number, orthotropic stiffness ration, and fiber orientation angle on dynamic characteristics of the plates is investigated.

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Section: Equations Of Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An improved Fourier series solution for the dynamic analysis of laminated composite annular, circular, and sector plate with general boundary conditions

Wang

Shi

Liang

et al. 2016

Journal of Composite Materials

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“…Baltaci et al [3] investigated the effect of hole size on buckling of laminated composite circular plates having circular holes and subjected to uniform radial load using the finite element method through static stability analysis. Karakuzu et al [4] carried out failure analysis of laminated woven glass-vinylester composite plates with two parallel circular holes and subjected to in-plane traction forces.…”

Section: Introductionmentioning

confidence: 99%

Stress concentration around a central hole as affected by material nonlinearity in fibrous composite laminated plates subject to in-plane loading

Abu‐Farsakh

Almasri

Qa’dan

2015

Science and Engineering of Composite Materials

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Stress concentration around a central hole as affected by material nonlinearity in fibrous composite laminated plates subject to in-plane loadingAbstract: The distribution of stresses in laminated composite plates with a central circular hole and having various stacking sequences, different geometric dimensions and subjected to in-plane axial tensile loading was investigated. The ANSYS computer program was utilized using the finite element method to study the linear and nonlinear material effects. A new method was proposed for the purpose of incorporating the material nonlinearity model into the ANSYS computer program using the secant modulus material model. The aim of the authors is to analyze the effect of D/b and a/b ratios (where D is hole diameter, b is plate width, and a is plate length) on stresses induced in such plates. Analysis was carried out for angle-ply, fourlayered symmetric laminated rectangular plates with various stacking sequences [ ± θ] s .

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“…Ovesy and Fazilati [11] applied the finite strip method based upon a Reddy type, third-order shear deformation theory for investing the buckling and free vibrational behavior of thick plates containing internal cutouts. The buckling behavior of laminated composite circular plates having circular holes and subjected to uniform radial load was investigated using the finite element method by Baltaci et al [12]. They also studied the influences of changes in the hole size, location of the hole, thickness, and boundary conditions on the buckling load.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Fiber Metal Laminate Annular Plate by State-Space Based Differential Quadrature Method

Rahimi

Gazor

Hemmatnezhad

et al. 2014

Advances in Materials Science and Engineering

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A three-dimensional elasticity theory by means of a state-space based differential quadrature method is presented for free vibration analysis of fiber metal laminate annular plate. The kinds of composite material and metal layers are considered to be S2-glass and aluminum, respectively. A semianalytical approach which uses state-space in the thickness and differential quadrature in the radial direction is implemented for evaluating the nondimensional natural frequencies of the annular plates. The influences of changes in boundary condition, plate thickness, and lay-up direction on the natural frequencies are studied. A comparison is also made with the numerical results reported by ABAQUS software which shows an excellent agreement.

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Static stability of laminated composite circular plates with holes using shear deformation theory

Cited by 14 publications

References 7 publications

An improved Fourier series solution for the dynamic analysis of laminated composite annular, circular, and sector plate with general boundary conditions

An improved Fourier series solution for the dynamic analysis of laminated composite annular, circular, and sector plate with general boundary conditions

Stress concentration around a central hole as affected by material nonlinearity in fibrous composite laminated plates subject to in-plane loading

Free Vibration Analysis of Fiber Metal Laminate Annular Plate by State-Space Based Differential Quadrature Method

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