Journal ArticleDOI
Nonlinear vibration of symmetrically laminated composite skew plates by finite element method
Maloy Kumar Singha,Rupesh Daripa +1 more
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Abstract:
Here, the large amplitude free flexural vibration behavior of symmetrically laminated composite skew plates is investigated using the finite element method. The formulation includes the effects of shear deformation, in-plane and rotary inertia. The geometric non-linearity based on von Karman's assumptions is introduced. The nonlinear matrix amplitude equation obtained by employing Galerkin's method is solved by direct iteration technique. Time history for the nonlinear free vibration of composite skew plate is also obtained using Newmark's time integration technique to examine the accuracy of matrix amplitude equation. The variation of nonlinear frequency ratios with amplitudes is brought out considering different parameters such as skew angle, fiber orientation and boundary condition.read more
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Journal ArticleDOI
Nonlinear vibration and dynamic stability analysis of composite plates
Maloy Kumar Singha,Rupesh Daripa +1 more
TL;DR: In this paper, large amplitude flexural vibration characteristics of composite plates under transverse harmonic pressure or periodic in-plane load were investigated using the shear deformable finite element method.
Journal ArticleDOI
Large amplitude vibration analysis of composite beams: Simple closed-form solutions
TL;DR: In this article, a large amplitude vibration analysis of laminated composite beam with axially immovable ends is investigated with symmetric and asymmetric layup orientations by using the Rayleigh-Ritz (R-R) method.
Journal ArticleDOI
Large amplitude vibration of functionally graded graphene nanocomposite annular plates in thermal environments
TL;DR: In this paper, the large amplitude vibration of functionally graded nanocomposite multilayer annular plates reinforced with graphene platelets (GPLs) in thermal environments is investigated. And the results show that dispersing more GPLs within the outer layers substantially decreases the nonlinear frequency ratio, while the effect of GPL geometry is insignificant.
Journal ArticleDOI
Modeling of nonlinear vibration of graphene sheets using a meshfree method based on nonlocal elasticity theory
TL;DR: In this paper, the authors presented the mathematical modeling of the nonlinear vibration behavior of GSs using classic plate theory and nonlocal elasticity theory which accounts for the size effect.
Journal ArticleDOI
Nonlinear free vibration analysis of laminated composite doubly curved shell panel in hygrothermal environment
TL;DR: In this paper, the geometrical nonlinear free vibration behavior of shear deformable laminated composite single/doubly curved shell panel in hygrothermal environment is investigated.
References
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Book
Mechanics of Composite Materials with MATLAB
TL;DR: Linear Elastic Stress-Strain Relations Elastic Constants Based on Micromechanics, Plane Stress, Global Coordinate System, Elastic Constant Based on Global Coordinated System, Laminate Analysis - Part I- Laminate analysis - Part II- Effective Elastic Constant of a Laminate- Failure Theories of a Laminating System, Homogenization of Composite Materials, to Damage Mechanics of composite Materials as discussed by the authors.
Journal ArticleDOI
Recent advances in analysis of laminated beams and plates. Part I - Sheareffects and buckling.
Rakesh K. Kapania,Stefano Raciti +1 more
Abstract: A review of the recent developments in the analysis of laminated beams and plates with an emphasis on shear effects and buckling is presented. A discussion of various shear-deformation theories for plates and beams is given. The available theories are derived assuming a variation of either the in-plane displacement components or the stress components or both in the thickness coordinate. A review of the recently developed finite elements to analyze thin and thick laminated beams and plates is given next. These elements have been derived using the displacement methods, or the mixed methods or the hybrid methods. Recent studies on the buckling and postbuckling behavior of perfect and geometrically imperfect plates are described next. These behaviors have been studied using analytical, numerical, and experimental techniques. Finally, a review of the various studies on the delamination buckling and growth in beams and plates is given. Once again, the studies have been conducted using analytical, numerical, and experimental techniques. The energy release rates have been determined using closed-form solutions or using numerical differentiation. Mention also is made of studies on multiple delaminations and on dynamic response of composite laminates under impact loads.
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Recent Advances in Analysis of Laminated Beams and Plates, Part II: Vibrations and Wave Propagation
Rakesh K. Kapania,Stefano Raciti +1 more
TL;DR: A review of the recent developments in the analysis of laminated beams and plates with an emphasis on vibrations and wave propagations is presented in this paper, where a significant effort has been spent on developing appropriate continuum theories for modeling the composite materials.
Journal ArticleDOI
Influence of Large Amplitudes on Free Flexural Vibrations of Rectangular Elastic Plates
Hu-Nan Chu,George Herrmann +1 more