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Journal ArticleDOI

Layerwise mechanics and finite element model for laminated piezoelectric shells

Paul R. Heyliger, +2 more
- 01 Nov 1996 - 
- Vol. 34, Iss: 11, pp 2353-2360
TLDR
In this article, a discrete-layer shell theory and associated finite element model for general laminated piezoelectric composite shells is constructed for general piezolectric composites.
Abstract
A discrete-layer shell theory and associated finite element model is constructed for general laminated piezoelectric composite shells The discrete-layer shell theory is based on linear piezoelectricity and accounts for general through-thickness variations of displacement and electrostatic potential by implementing one-dimensional piece-wise continuous Lagrange interpolation approximations over a specified number of sublayers The formulation applies to shells of general shape and lamination Initially, the static and dynamic behavior of a simply supported flat plate is studied to compare with available exact solutions, with excellent agreement being obtained Static loading and free vibration of a cylindrical ring are then considered to evaluate the element and to study the fundamental behavior of active/sensory piezoelectric shells

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Citations
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Journal ArticleDOI

Higher-order B-spline strip models for laminated composite structures with integrated sensors and actuators

TL;DR: In this paper, a family of higher and first-order isoparametric B-spline finite strip models were developed for static and free vibration analysis of composite laminated plate/shell structures, which can have arbitrary layups, loading and boundary conditions.
Journal ArticleDOI

Higher-order B-spline finite strip model for laminated adaptive structures

TL;DR: In this paper, a higher-order isoparametric B-spline finite strip model is proposed for static and free vibration analysis of composite laminated plate/shell structures, which can have arbitrary lay-ups, loading and boundary conditions.
Journal ArticleDOI

A finite element formulation for piezoelectric shell structures considering geometrical and material non-linearities

TL;DR: In this paper, an electro-mechanical coupled shell element is developed considering geometrically and materially non-linear behavior of ferroelectric ceramics, and the mixed formulation includes the independent fields of displacements, electric potential, strains, electric field, stresses, and dielectric displacements.
Journal ArticleDOI

Semianalytical finite element analysis of active constrained layer damping in cylindrical shells of revolution

TL;DR: In this article, a three noded, isoparametric, multilayered, semianalytical finite element is developed and used for active constrained layer damping in cylindrical shells of revolution.

Vibration control of adaptive structures : modeling, simulation and implementation of viscoelastic and piezoelectric damping technologies

TL;DR: Tese de doutoramento. Faculdade de Engenharia Mecânica as mentioned in this paper, Porto, Portugal, Brazil, USA, USA. 2008.
References
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Book

The finite element method

TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book

Finite Element Analysis

B. A. Szabó, +1 more
TL;DR: In this article, the authors present a general solution based on the principle of virtual work for two-dimensional linear elasticity problems and their convergence rates in one-dimensional dimensions. But they do not consider the case of three-dimensional LEL problems.
Journal ArticleDOI

Exact solutions for rectangular bidirectional composites and sandwich plates

TL;DR: In this article, three-dimensional elasticity solutions for rectangular laminates with pinned edges are constructed for three dimensional elasticity problems, including a sandwich plate, and compared to the analogous results in classical laminated plate theory.
Book

Advanced Calculus for Applications

TL;DR: In this paper, the Laplace Transform is used to solve the problem of linear differential equations with constant coefficients, which is a special case of the problem we are dealing with here, and the results are shown to be valid for large values of x.