2 edition of **hierarchical theory for layered beams with piezoelectric actuation.** found in the catalog.

hierarchical theory for layered beams with piezoelectric actuation.

Clayton McLean

- 106 Want to read
- 22 Currently reading

Published
**2004**
.

Written in English

- Composite construction.,
- Piezoelectric devices.,
- Actuators.

In order to realize the full compatibility of advanced composite and sandwich structures an internally consistent and accurate modeling process is needed. Hansen and de Almeida developed a unified hierarchical theory for layered beams which has the ability to accurately predict through-the-thickness stress and strain distributions, as well as displacement moments of all combinations of symmetric laminates and sandwich structures. This theory asserts that these predictions can be developed as a superposition of sets of well chosen fundamental states, where a hierarchical sequence of bending states occurs. Fundamental states are described as numerical experiments performed on an infinitesimal segment of the physical beam. Here, piezoelectric actuation effects are considered and a new fundamental state is developed modeling the actuation within the composite or sandwich structure through the application of a uniform electric field. The capabilities of this fundamental state are shown within the confines of the hierarchical beam theory by solving three problems: a purely actuated system, a system subjected to both electrical and mechanical loads and a system of piezoelectric patches that are embedded within a composite structure. The calculated through-the-thickness stress and strain distributions and the displacement moments yield comparable results to 2-D ANSYS finite element predictions.

**Edition Notes**

Contributions | University of Toronto. Institute for Aerospace Studies. |

The Physical Object | |
---|---|

Pagination | 145 leaves. |

Number of Pages | 145 |

ID Numbers | |

Open Library | OL19512256M |

ISBN 10 | 0612951782 |

Deformation Theory M. Karami Khorramabadi and A. R. Nezamabadi 1 Abstract—Stability of functionally graded beams with piezoelectric layers subjected to axial compressive load that is simply supported at both ends is studied in this paper. The displacement field of beam is assumed based on first order shear deformation beam theory. This paper presents a dynamic study of sandwich functionally graded beam with piezoelectric layers that are used as sensors and actuators. This study is exploited later in the formulation of the active control laws, while using the optimal control Linear Quadratic Gaussian (LQG), accompanied by the Kalman filter. The mathematical formulation is based on Timoshenko’s assumptions and the.

p of the piezo actuator layer are given by a f a Vt E t = Finally, the control force applied by the actuator is obtained as 31 2 () p a ctrl p l f E d bz n dxV t= z (11) Where z is the distance between the neutral axis of the beam and the piezoelectric layer or can be expressed as a scalar vec-tor product as a () () f hV t hu t ctrl == ( This paper develops models, fabricates, experimentally tests, and optimizes a novel piezoelectric T-beam actuator. With a T-shaped cross-section, and bottom and top flanges and web electrodes, a cantilevered beam can bend in both in-plane and out-of-plane directions upon actuation.

An efficient coupled zigzag theory for dynamic analysis of piezoelectric composite and sandwich beams with damping Journal of Sound and Vibration, Vol. , No. Coupled Consistent Third-order Theory for Hybrid Piezoelectric Composite and Sandwich Beams. This paper deals with the derivation of exact solutions for the static analysis of functionally graded (FG) plates integrated with a layer of piezoelectric fiber reinforced composite (PFRC) material. The layer of the PFRC material acts as the distributed actuator of the FG plates.

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Within the scope of the presented book, two different sensor-actuator-systems are presented being based on an integrated capacitive and inductive displacement sensor, respectively. Analytical simulations of the static and dynamic behavior are compared to real measurement results of a specially developed piezoelectric multilayer beam bender.

Abstract: In this paper, we derive and compare the linear static bending of piezoelectric actuators with transversal (d 31) and longitudinal (d 33) transducers are, respectively, structures utilizing top and bottom electrodes (TBEs) and interdigitated electrodes (IDEs).

While the theory is well developed for the TBE beam, governing equations for the bending of the piezoelectric Cited by: An important aim of the presented book is the explanation of the application of piezoelectric materials such as piezoceramics within the wide field of electromechanical actuators and sensor technology.

The reader should be presented the physical and mechanical properties of piezoceramics in a distinct way. In a next step the reader is gradually introduced into the mechanical. Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 9) beam theory hierarchical theory piezo-actuation layered beam McLean C () A Hierarchical theory for layered beams with piezoelectric actuation.

MASc Thesis, University of Toronto, Ontario Google : Dcd Oguamanam, C McLean, JS Hansen. Static Analysis of Shear Actuated Piezo-Electric Beams via Hierarchical FEM Theories A Lagrange’s polynomials based layer-wise approximation is used.

Several mechanical boundary conditions and sensor and actuator configurations are investigated. Results are assessed towards three-dimensional finite element by: 6. The application of the CUF to piezoelectric beams was presented by Koutsawa et al.

( Koutsawa et al. (, and Biscani et al. (), used the Arelquin approach to couple piezo-beams with. While the theory is well developed for the TBE beam, governing equations for the bending of the piezoelectric beams with IDEs are far less developed.

We improve on this by deriving the governing equation for the IDE beam with an arbitrary number of layers and with coupling consistently included.

Abstract: We have developed a multi-layered bimorph actuator whose power consumption is low and whose displacement is large. Each actuator layer comprises a piezoelectric element and elastic plate. Because volume of the piezoelectric element is constant, the actuator expands in the direction of applied voltage, but contracts in the perpendicular direction.

Behavior of a 3-Layered Thick Piezoelectric Actuator Using a 2-D Coupled Electromechanical Model Mechanics of Advanced Materials and Structures, Vol. 16, No. 2 Multimodal passive vibration control of sandwich beams with shunted shear piezoelectric materials.

According to Timoshenko beam theory and von Kármán nonlinear geometric relation, the strain components of the piezoelectric laminated beams are obtained. The nonlinear governing equations of the piezoelectric laminated beams are derived by the Galerkin method and principle of minimum potential energy, and then are solved through the direct.

maximum moment that an actuator, whose energy comes from piezoelectricity, can develop when attached to a beam. As a piezoelectric material cannot generate much energy, and often requires amplification, the goal is to optimize the circuit linked to the piezoelectric material to obtain as much power as possible.

Thesis Supervisor: Jerome Connor. This paper presents a theoretical and finite element (FE) formulation of a three‐layered smart beam with two piezoelectric layers acting as sensors or actuators. For the definition of the mechanical model a partial layerwise theory is considered for the approximation of the displacement field of the core and piezoelectric face layers.

The book provides practicing engineers and researchers with an introduction to advanced piezoelectric shell theories and distributed sensor/energy harvester/actuator technologies in the context of structural identification, energy harvesting and precision control.

The book can also be used as a textbook for graduate students. An eight-port impedance matrix and an equivalent circuit are presented for the analysis of an asymmetric triple-layered piezoelectric bimorph with separate electrical ports. The separate electric ports for the top and bottom piezoelectric layers operate independently of each other: they generate and/or sense the coupled extensional and flexural motions.

This book describes the application of piezoelectric materials, particularly piezoceramics, in the wide field of actuators and sensors. It gives a step-by-step introduction to the structure and mechanics of piezoelectric beam bending actuators in multilayer technology, which are of increasing.

wich Piezoelectric Beams. Akil Ahmed. Abstract — This paper presents review of the available one dimensional (1D) models of hybrid. and sandwich.

beams and highlights the need of. computationally efficient and acc. urate electromechanical coupled 1D beam. models. The. paper covers the. discuss. ion of.

uncoupled equivalent single layer. 27 April Nonlinear modeling of piezoelectric layered beams. Mehdi Saghafi, Nader Jalili, Ali Meghdari.

Author Affiliations + Proceedings VolumeActive and Passive The static equations are then used to construct a linear dynamic model for actuation. A Bouc-Wen type hysteresis model is employed in order to account for the.

A new efficient coupled 1D geometrically nonlinear zigzag theory is developed for buckling analysis of hybrid piezoelectric beams, having any symmetric lay-up, under electromechanical loads by extending the geometrically linear zigzag theory of Ref. [17]. The geometric nonlinearity is included due to deflection only.

Vasques and Rodrigues [] presented a finite element formulation based on a coupled partial layerwise theory for three layer piezoelectric beams. Kapuria [] and Kapuria and Alam [ Piezo Theory: Chapter 1 - Physics & Design TECHNICAL APPLICATION NOTE It is more complicated to produce multi-layer piezoelectric actuators.

Because of the advantage of using the lower voltage, some companies are developing so called monolithic actuators. This means, the green sheet ceramic will be laminated with the electrode material.

Consider a functionally graded rectangular solid beam with piezoelectric sensory or actuator layer(s) bonded to either or both of its surfaces as shown in Fig. width, thickness and length of the hybrid FGM beam are b, h and a, tent with the fabrication process, the FGM substrate is modelled as a laminate of a number of perfectly bonded isotropic layers with.

Euler–Bernoulli beam theory has also been previously studied for a unimorph structure but has been limited to modeling in the actuation mode. Thus, a new approach based on a combination of Euler–Bernoulli beam theory and Timoshenko beam equations has been developed for the bimorph PZT bender taking into account material properties and.wave propagation curves for beams with surface-bonded piezoelectric patches.

They used Euler and Timoshenko models of beam theory. They introduced dispersion curves for different thickness ratios between the piezoelectric layer and the host beam structure.

These curves were obtained by assuming a half-cycle cosine.