Nonlinear finite element analysis of laminated composite shells with actuating layers

Lee, S. J.; Reddy, J. N.; Rostam-Abadi, Farzad

doi:10.1016/j.finel.2006.04.008

Cited by 24 publications

(7 citation statements)

References 23 publications

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“…Third-order shear deformation theory is chosen for the shell formulation and it is used to study deflection suppression characteristics of laminated composite shells. A number of parametric studies are carried out to understand the damping characteristics of laminated composite shells [9]. Carbon fibre Epoxy composite fracture characterization and failure analysis were carried out with the aid of scanning electron microscope [10].…”

Section: Literature Reviewmentioning

confidence: 99%

Finite Element Analysis and Numerical Simulation of Composite Laminates

Bruno*,

Vignesh,

Vasundara

2019

IJRTE

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Minimization and miniaturization plays a major role in structural engineering design. The fiber reinforced composites finds suitable replacement of conventional materials. Apt aim of using the composite material is for high strength to weight ratio and to meet the applications with specific properties. In this work the buckling behavior of composite laminate plates is studied by varying the parameters like material for the plies, ply orientation angles, size of the plate etc., Finite element analysis is used for carrying out numeral cases of the buckling analysis. Numerical simulation for the two ply and three ply composite laminates was also carried out based on the first order plate theory and shear deformation theory to validate the obtained results. The variation in buckling behavior of the laminates vs. ply angles and material combinations were studied

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Section: Literature Reviewmentioning

confidence: 99%

Finite Element Analysis and Numerical Simulation of Composite Laminates

Bruno*,

Vignesh,

Vasundara

2019

IJRTE

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“…The in-plane stresses constitute the membrane stresses, bending stresses and thermal stresses under temperature difference T Δ for the kth layer of plane stresses in the thick FGM circular cylindrical shell are provided in the equations as follows [26,27]: The time dependency of displacements u, v and w of thick circular cylindrical shells are assumed in the linear FSDT equations as follows [25]: the formulas are correct only in the case of the symmetric properties with respect to mid-plane. As one knows, density of FGMs is usually not symmetric with respect to the middle-surface; thus, the neutral surface has the role of the middle-surface and, for simplification, the middle-surface is assumed and considered near to the neutral surface of FGMs.…”

Section: Formulationmentioning

confidence: 99%

“…The in-plane stresses constitute the membrane stresses, bending stresses and thermal stresses under temperature difference ∆T for the kth layer of plane stresses in the thick FGM circular cylindrical shell are provided in the equations as follows [26,27]: The shear stresses are provided as follows:…”

Section: Formulationmentioning

confidence: 99%

“…The dynamic equations of motion for a circular cylindrical shell are provided by Jafari et al [28]. The constitutive relations including thermal loads effect is provided by Lee et al [26]. The dynamic equilibrium differential equations of fluid flow over the outer surface of FGM circular cylindrical shells in terms of displacements and shear rotations can be provided and represented as follows:…”

Section: Formulationmentioning

confidence: 99%

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Effects of Varied Shear Correction on the Thermal Vibration of Functionally-Graded Material Shells in an Unsteady Supersonic Flow

Hong

2017

Aerospace

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Abstract:A model is presented for functionally-graded material (FGM), thick, circular cylindrical shells under an unsteady supersonic flow, following first-order shear deformation theory (FSDT) with varied shear correction coefficients. Some interesting vibration results of the dynamics are calculated by using the generalized differential quadrature (GDQ) method. The varied shear correction coefficients are usually functions of FGM total thickness, power law index, and environment temperature. Two parametric effects of the environmental temperature and FGM power law index on the thermal stress and center deflection are also presented. The novelty of the paper is that the maximum flutter value of the center deflection amplitude can be predicted and occurs at a high frequency of applied heat flux for a supersonic air flow.

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“…Oh [4] considered snap-through thermopiezo-elastic behaviors to examine the buckling bifurcation and sling-shot buckling of active piezo-laminated plates. Lee et al [5] employed thirdorder shear deformation theory and nonlinear finite element to canvass deflection suppression characteristics of laminated composite shell structures with smart material laminae. Panda and Ray [6] exploited the first-order shear deformation theory and the three-dimensional finite element method to delve into the open-loop and closed-loop nonlinear dynamics of functionally graded plates with the piezoelectric fiberreinforced composite material under the thermal environment.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Chaotic Dynamics of the Laminated Composite Piezoelectric Rectangular Plate

Yao¹,

Zhang²,

Wang³

2014

Mathematical Problems in Engineering

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This paper investigates the multipulse heteroclinic bifurcations and chaotic dynamics of a laminated composite piezoelectric rectangular plate by using an extended Melnikov method in the resonant case. According to the von Karman type equations, Reddy’s third-order shear deformation plate theory, and Hamilton’s principle, the equations of motion are derived for the laminated composite piezoelectric rectangular plate with combined parametric excitations and transverse excitation. The method of multiple scales and Galerkin’s approach are applied to the partial differential governing equation. Then, the four-dimensional averaged equation is obtained for the case of 1 : 3 internal resonance and primary parametric resonance. The extended Melnikov method is used to study the Shilnikov type multipulse heteroclinic bifurcations and chaotic dynamics of the laminated composite piezoelectric rectangular plate. The necessary conditions of the existence for the Shilnikov type multipulse chaotic dynamics are analytically obtained. From the investigation, the geometric structure of the multipulse orbits is described in the four-dimensional phase space. Numerical simulations show that the Shilnikov type multipulse chaotic motions can occur. To sum up, both theoretical and numerical studies suggest that chaos for the Smale horseshoe sense in motion exists for the laminated composite piezoelectric rectangular plate.

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Nonlinear finite element analysis of laminated composite shells with actuating layers

Cited by 24 publications

References 23 publications

Finite Element Analysis and Numerical Simulation of Composite Laminates

Finite Element Analysis and Numerical Simulation of Composite Laminates

Effects of Varied Shear Correction on the Thermal Vibration of Functionally-Graded Material Shells in an Unsteady Supersonic Flow

Modeling and Chaotic Dynamics of the Laminated Composite Piezoelectric Rectangular Plate

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