Buckling and post-buckling of laminated composite plates

A control optimization problem for functionally graded (FG) plates is presented using a first-order shear deformation plate theory including through-the-thickness normal strain effect. The aim of the optimization is to minimize the vibrational response of FG plate with constraints on the control energy used in the damping process. An active control optimization is presented to determine the optimal level of a closed loop control function. Plate thickness and a homogeneity parameter of FG plates are used as design variables. Numerical results for the optimal control force and the total energy for a simply supported FG plate are given. The influence of through-the-thickness normal strain effect on the accuracy of the obtained results is illustrated. The effectiveness of the present control and design procedure is examined.

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“…Substituting the Liapunov function (18) into the previous expression, we can get the minimum control force opt in the form:…”

Section: Solution Proceduresmentioning

confidence: 99%

“…In another work of Fares et al [17], nonlinear optimization schemes are presented to solve multiobjective design and control problems for composite laminated plates. Other studies on this topic may be found in [18,19].…”

Section: Introductionmentioning

confidence: 99%

Active Control Optimization for Minimizing the Dynamic Response of Functionally Graded Plate

Fares

Elmarghany

Atta

2014

International Journal of Aerospace Engineering

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“…Similar theories have been applied to general bending problems, including small and finite deformation static and dynamic analyzes of homogeneous and composite beams. The HSDTs have been also extended to the analysis of plates and shells (see, for example, the works of [4,5], among many others). Summaries of the most common HSDTs in the scientific literature are provided, for instance, in the works of [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

A new 2D beam finite element for nonlinear elastic analysis including warping and shear effects

Pascon

2019

J Braz. Soc. Mech. Sci. Eng.

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In this paper, a finite-element formulation based on positional description is proposed to predict the large deformation behavior of short beams including shear deformation and cross section warping. A higher-order shear deformation beam theory is originally employed by means of two generalized vectors. A linear strain rate is also included in order to enrich the approximation of strains along the transverse direction. The formulation accounts for finite displacements, finite strains and plane stress conditions in elastic regime. Homogeneous materials, as well as functionally graded composite beams with varying properties along the height, are considered. In all, four beam formulations are described, combining the level of transverse enrichment and the cross section kinematics. A short cantilever beam problem with rectangular cross section is analyzed in detail to illustrate the differences among the four element formulations regarding displacements, strains and stresses. The numerical results confirm that the inclusion of both linear strain rate and cross section warping are needed to correctly predict the mechanical behavior of the cantilever beam, reproducing variable shear deformation across the height.

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“…Shadmehri et al [22] used FSDT to report stability behavior of composite conical shells subjected to axial compression. Dash and Singh [23] studied buckling and post-buckling analysis of laminated plate using HSDT. Seifi et al [24] presented a buckling analysis of composite annular plates subjected to the external radial edge and uniform internal loads.…”

Section: Introductionmentioning

confidence: 99%

Dual-axis buckling of laminated composite skew hyperbolic paraboloids with openings

Chaubey

Jha

Kumar

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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The dual-axis buckling of Laminated composite skew hyperbolic paraboloid with cutouts subjected to the in-plane biaxial and the shear load is investigated for various boundary conditions using the present mathematical model. Variation of transverse shear stresses is represented by a second-order function across the thickness, and the cross-curvature effect is also included via strain relations. The transverse shear stress-free condition at the shell top and bottom surfaces is also satisfied. This mathematical model (having a realistic second-order distribution of transverse shear strains across the thickness of shell) requires unknown parameters only at the reference plane. For generality in the present analysis, nine-node curved isoparametric element is used. So far, no solution exists in the literature for dual-axis buckling problem of laminated composite skew hyperbolic paraboloids with cutouts. As no result is available for the present problem, the present model is compared with suitable published results and then it is extended to analyze biaxial and shear buckling of laminated composite skew hyperbolic paraboloids. A C 0 finite element coding in FORTRAN is developed to generate many new results for different boundary conditions, skew angles, lamination schemes, etc.

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Buckling and post-buckling of laminated composite plates

Cited by 37 publications

References 16 publications

Active Control Optimization for Minimizing the Dynamic Response of Functionally Graded Plate

Active Control Optimization for Minimizing the Dynamic Response of Functionally Graded Plate

A new 2D beam finite element for nonlinear elastic analysis including warping and shear effects

Dual-axis buckling of laminated composite skew hyperbolic paraboloids with openings

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