Large displacement static and transient analysis of functionally graded deep curved beams with generalized differential quadrature method

Kurtaran, Hasan

doi:10.1016/j.compstruct.2015.06.024

Cited by 51 publications

(13 citation statements)

References 49 publications

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“…As shown in Figure 7, the plate is considered to be clamped at one short edge and supported by nonlinear springs at the other short edge. As illustrated in Figure 1(d), the spring force function can be expressed by ( ) = + 3 , where , , and denote spring stiffness, displacement, and small constant, respectively. In this example, can be taken as 10, 100, and +∞ N/mm, respectively, where the case of = +∞ indicates simply supported constraint, takes the value of 0.1, and transient responses of the plate supported by nonlinear springs with different stiffness are analyzed.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…In recent years, there have been many studies on nonlinear vibration analysis of the components under dynamic loads. Kurtaran [1][2][3] conducted geometrically nonlinear transient analysis of laminated composite structures with generalized differential quadrature method. Susler et al [4] investigated the geometrically nonlinear dynamic behavior of tapered laminated composite plates with simply supported and subjected to air blast loading.…”

Section: Introductionmentioning

confidence: 99%

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Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints

Yang

2017

Shock and Vibration

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To investigate the dynamic behavior of laminated plates with nonlinear elastic restraints, a varied constraint force model and a systematic numerical procedure are presented in this work. Several kinds of typical relationships of force-displacement for spring are established to simulate the nonlinear elastic restraints. In addition, considering the restraining moments of flexible pads, the pads are modeled by translational and rotational springs. The displacement- dependent constraint forces are added to the right-hand side of equations of motion and treated as additional applied loads. These loads can be explicitly defined, via an independent set of nonlinear load functions. The time histories of transverse displacements at typical points of the laminated plate are obtained through the transient analysis. Numerical examples show that the present method can effectively treat the geometrically nonlinear transient response of plates with nonlinear elastic restraints.

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Section: Numerical Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints

Yang

2017

Shock and Vibration

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“…Chen et al [31] used Timoshenko beam theory for the buckling and static analysis of shear deformable functionally graded porous beams. Kurtaran [32] has presented a geometrically nonlinear analysis of functionally graded curved beams using the FSDT. Nguyen et al [33] have obtained a Ritz-type analytical solution for the buckling and free vibration analysis of functionally graded sandwich beams using a quasi-3D beam theory.…”

Section: Introductionmentioning

confidence: 99%

On the static deformation of FG sandwich beams curved in elevation using a new higher order beam theory

Avhad

Sayyad

2020

Sādhanā

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This article presents the static analysis of FG sandwich beams curved in elevation. Navier-type semi-analytical solutions are obtained based on polynomial type fifth order shear and normal deformation theory. The beam has FG skins and isotropic core. Material properties of FG skins are graded in z-direction according to the power-law distribution. The present theory accounts for a fifth-order distribution of axial displacement and fourth-order distribution of transverse displacement. The present theory considers the effect of thickness stretching and gives a realistic variation of transverse shear stress through the thickness of the beam. The governing equations are obtained within the framework of the principle of virtual work. Semi-analytical static solutions for the simply supported FG sandwich beams curved in elevation are obtained using Navier's technique. The beam is subjected to uniformly distributed load. The non-dimensional numerical values for displacements and stresses are obtained for various power-law index and thickness of the core. The present results are found in good agreement with previously published results.

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“…Based on the first-order shear deformation theory and von Karman geometrically nonlinear theory, Kerdegarbakhsh et al [15] studied the buckling and postbuckling behaviors of a ring made of a through-the-thickness FGM. Kurtaran [16] performed a large displacement static and transient analysis of thick FGM curved beams by using generalized differential quadrature method. Large displacements were taken into account through Green-Lagrange nonlinear straindisplacement relations.…”

Section: Introductionmentioning

confidence: 99%

Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable Curvatures

Wan

Liu

2019

Advances in Materials Science and Engineering

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In this paper, geometrically nonlinear analysis of functionally graded curved beams with variable curvatures based on Timoshenko beam theory is presented. Considering the axial extension and the transversal shear deformation, geometrically nonlinear governing equations for the FGM curved beams with variable curvatures subjected to thermal and mechanical loads are formulated. Material properties of the curved beams are assumed to vary arbitrarily in the thickness direction and be independent on the temperature change. By using the numerical shooting method to solve the coupled ordinary differential equations, the nonlinear response of static thermal bending of a FGM semielliptic beams subjected to transversely nonuniform temperature rise is obtained numerically. e effects of material gradient, shear deformation, and temperature rise on the response of the curved beam are discussed in detail. Nonlinear bending of a closed FGM elliptic structure subjected to two pinching concentrated loads is also analyzed. is paper presents some equilibrium paths and configurations of the elliptic curved beam for different pinching concentrated loads.

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Large displacement static and transient analysis of functionally graded deep curved beams with generalized differential quadrature method

Cited by 51 publications

References 49 publications

Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints

Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints

On the static deformation of FG sandwich beams curved in elevation using a new higher order beam theory

Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable Curvatures

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