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Showing 1 to 20 of 90 for “"Plate Theory"”.
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Finite element modelling of voided slab bridge decks using orthotropic plate theory
… idealisation of voided slabs as an orthotropic plate has been the subject of extensive research. When modelling a voided slab as an orthotropic plate, it is necessary to calculate the reduction in the longitudinal and transverse stiffness due to the presence of the voids. Several equivalent …
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General nonlinear plate theory applied to a circular plate with large deflections
The general nonlinear first approximation thin plate tensor equations in undeformed coordinates valid for large strains, rotations and displacements are developed based on the single assumption of plane stress. These equations are then reduced to the exact tensor and physical component equations …
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Implementation of Third Order Plate Theory for use in Existing Finite Element Software
Sandwich plates and layered composites are common in many structural applications because of their combination of high stiffness and low weight. These plates combine top and bottom layers of high Young's modulus with intermediate layers of material carrying predominantly shear loads. Finite …
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Numerical simulation of damage and progressive failures in composite laminates using the layerwise plate theory
… numerically using the Generalized Layerwise Plate Theory (GLPT) of Reddy and a progressive failure algorithm. The Layerwise Theory of Reddy assumes a piecewise continuous displacement field through the thickness of the laminate and therefore has the ability to capture the interlaminar stress …
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On vibration and stability problems of laminated plates and shells using shear deformation theories
… vibration and stability analyses of laminated plates and shells, using classical, first-order and third-order equivalent single-layer theories and the layer-wise theory of Reddy. Analytical solutions of these theories for natural frequencies and critical buckling loads of plates and shells …
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Static and free vibration analysis of advanced composites using shear-deformable rectangular plate finite elements
… based on a first order shear deformation plate theory and a refined higher order plate theory is presented. Special attention is given to the representation of transverse shear strain, the phenomenon of "shear locking", and the selection of the interpolating polynomial. Both C⁰ and C¹ …
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A study of vibrations in rotating laminated composite plates accounting for shear deformation and rotary inertia
A first-order shear deformation plate theory is used to predict free vibration frequencies in rotating laminated composite plates. The theory accounts for geometric non-linearity in the form of von Karman strains. The plate is permitted to have arbitrary orientation and offset from the axis of …
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Dynamic analysis of a composite moving beam
… considered also. First Order Shear Deformation theory (FSDT) is used to formulate the problem since transverse shear deformations are important for composite beams. When reducing laminate plate theory to corresponding beams, plane strain and plane stress assumptions are considered. Within the …
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Random Vibration Analysis of Higher-Order Nonlinear Beams and Composite Plates with Applications of ARMA Models
… of higher-order nonlinear beams and composite plates subjected to stochastic loading is studied. The fourth-order nonlinear beam equation is examined to study the effect of rotary inertia and shear deformation on the root mean square values of displacement response. A new linearly coupled …
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Bending of a Flat Circular Plate With a Central Hole Due to Evenly Spaced Bending Moments at the Outside.
… distribution and deflection in a flat circular plate with a circular hole under action of uniformly distributed radial bending moments applied over discrete zones at the outer boundary in an evenly spaced fashion. The solution was obtained from small-deflection plate theory as developed by …
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Fabrication and Structural Performance of Random Wetlay Composite Sandwich Panels
… the static behavior of sandwich beams and plates in bending. Three-point bend tests were performed on a sandwich beam in accordance with ASTM C 393. A sandwich plate simply supported along two opposite edges and free along the other two edges was subjected to a line-load using weights and a …
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Linear and nonlinear analyses of thick composite circular plates using the finite element method
A new finite element for circular plates based on Mindlin's shear-deformable plate theory is developed. Unlike conventional plate elements, these new elements may be stacked on top of one another to model laminated plates. The elements assure continuity of the displacements between the layers, but …
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Vibration Attenuation of Composite Moving Beams using Active Vibration Control Techniques
… velocity feedback control. Classical laminate plate theory (CLPT), first order shear deformation theory (FSDT) and higher order shear deformation theories (HSDT) are considered for the analysis of composite beams. A consistent formulation is used to reduce the composite plate theory to beams. …
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On couple stress in the mechanics of materials
The couple stress theory as presented by Mindlin, Koiter, Stokes and others is reviewed with particular attention being given to stress concentration and size effects. That theory is compared on a qualitative and quantitative basis with Neuber's theory for stress concentration for very small or …
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Experimental analysis of the bending of circular plates using reflected light
Experimental analysis of thin flat plates to determine moments and deflections using the method of reflected light and the particular technique developed by Ligtenberg is investigated. Circular plates of two thicknesses and two methods of loading are used to evaluate the method. The experimental …
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Probability-based stability analysis of a laminated composite plate under combined in-plane loads
… probabilistic stability of a laminated composite plate is investigated. Three different models are considered in this study, namely, the classical laminated plate theory, a first-order shear deformation theory, and a higher-order shear deformation theory. The probabilistic characteristics, such as …
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Modeling Underwater Explosion (UNDEX) Shock Effects for Vulnerability Assessment in Early Stage Ship Design
… A simplified fluid model using Taylor flat-plate theory is incorporated directly into the OpenFSI module code in Nastran and used to interface with the structural solver in Nastran to simulate a far-field shockwave impacting the hull. The kick-off velocities and the shock spectra captured in …
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Analysis of metal matrix composite structures using a micromechanical constitutive theory
… is examined using a micromechanical constitutive theory. Effective lamina and laminate constitutive relations based on the Aboudi micromechanics theory are presented. The inelastic matrix behavior is modeled by the unified viscoplasticity theory of Bodner and Partom. The laminate constitutive …
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Structural acoustic analysis of shape memory alloy hybrid composite panels
… method and finite panel acoustic radiation theory to investigate the use of SMA hybrid composite materials for adaptive structural acoustic control by active structural tuning. Analytical models are formulated considering classical laminated plate theory (CLPT) and first-order shear …
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A novel grid analogy for transversely loaded orthotropic plates
… modeling technique to idealize thin, orthotropic plates into an equivalent grid, suitable for the matrix-displacement method of analysis. The formulation is an alternative to the classical plate theory and finite element method. The grid model is unique compared to other grid formulations in its …
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