Application of piezoelectric actuators to active control of composite spherical caps

Birman, Victor; Knowles, Gareth J.; Murray, J.

doi:10.1088/0964-1726/8/2/007

Cited by 10 publications

(5 citation statements)

References 8 publications

(5 reference statements)

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“…Other investigations [6,7] have examined an alternative active stiffener configuration applying piezoelectric patches on the sides of structural stiffeners. However, these investigations were not concerned with the directional decoupling ability of the actuators and have disregarded the local deformations of the host structure between the stiffeners.…”

Section: Problem Statement Research Objective and Approach Overviewmentioning

confidence: 99%

On the directional decoupling characteristics of active stiffeners for shape control of two-dimensional structures

Philen

Wang

2004

Smart Mater. Struct.

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A substantial amount of research exists concerning shape control of two-dimensional optical mirror structures with attached piezoelectric ceramic sheet actuators. Researchers have investigated the optimal placement, size, and electrode pattern of the piezoceramic actuators for maximizing the system performance. In many situations, the performance could be further improved with tailoring of the actuator configuration. For example, it was found that to avoid ‘exciting’ higher order deformation modes (the wrinkling effect) in two-dimensional structures, the ideal actuator would be one that is directionally decoupled, i.e., only actuates in one direction when controlling certain deformation modes of interest. The active stiffener (AS) concept has been proposed to realize such an effect, where a stiffener is inserted between a host structure and the piezoelectric ceramic actuator patch. The objective of the research presented in this paper is to develop a local analysis of the AS actuator to gain good insight into its characteristics and determine parameters that can best achieve the decoupling actions. Using a three-dimensional finite element model, analyses of a single active stiffener attached to rigid and flexible host structures are presented. The effects of various material and system parameters on the bending moments applied to the host structure are illustrated. It is shown that, with proper design, the active stiffener can significantly reduce the bending moment (active authority) in a selected direction while maintaining sufficient authority in the orthogonal direction. The results of this investigation should provide valuable guidelines for the design of effective AS actuators.

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Section: Problem Statement Research Objective and Approach Overviewmentioning

confidence: 99%

On the directional decoupling characteristics of active stiffeners for shape control of two-dimensional structures

Philen

Wang

2004

Smart Mater. Struct.

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“…N ff ¼ N cc ¼ N fc ¼ 0. The bending strain-displacement relations are the same as equations (16)- (18). Accordingly, a set of spherical governing equations based on the bending approximation can be derived.…”

Section: The Bending Approximationmentioning

confidence: 99%

“…Natural frequencies of a shallow spherical shell and a thin hemisphere shell with free boundary condition have been experimentally verified [16,17]. Distributed sensing and control of shallow spherical shells have been investigated over the past few years [18][19][20][21][22]. However, distributed sensing and control of hemispherical shells have not been thoroughly investigated.…”

Section: Introductionmentioning

confidence: 99%

Micro-Sensor Electromechanics and Distributed Signal Analysis of Piezo(electric)-Elastic Spherical Shells

Tzou

Smithmaitrie

Ding

2002

Mechanical Systems and Signal Processing

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“…intelligent structural systems, nondestructive testing devices, electronic and medical devices, sensors and actuators (e.g. Birman et al 1999, Cai et al 2001, Wang and Quek 2004, Yoichi 2006. While such materials have attractive and desirable features, their response to external disturbances is generally very complex and, as a consequence, modeling of such behavior is theoretically and computationally challenging.…”

Section: Introductionmentioning

confidence: 99%

Regularized boundary integral representations for dislocations and cracks in smart media

Rungamornrat¹,

Senjuntichai²

2009

Smart Mater. Struct.

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This paper presents a complete set of singularity-reduced boundary integral relations for isolated discontinuities embedded in three-dimensional infinite media. The development is carried out within a broad context that allows the treatment of a well-known class of smart media such as linear piezoelectric, linear piezomagnetic and linear piezoelectromagnetic materials. In addition, resulting boundary integral representations are applicable to general discontinuities of arbitrary geometry and possessing a general jump distribution. The latter aspect allows the treatment of two special kinds of discontinuities: dislocations and cracks. The most attractive feature of the current development is that all integral relations for field quantities such as state variables and their gradients, the body flux, and the generalized interaction energy produced by dislocations are expressed only in terms of line integrals over the dislocation loops and, for cracks, the key governing boundary integral equation is established in a symmetric weak form and contains only weakly singular kernels of O(1/r ). Results for the former case are fundamental and useful in the context of dislocation mechanics and modeling while the resulting weakly singular, weak form integral equation constitutes a basis for the development of a well-known numerical technique, called a symmetric Galerkin boundary element method (SGBEM), for analysis of cracked bodies. The weakly singular nature of such an integral equation allows low order interpolations to be used in the numerical approximation.The key ingredient for achieving such development of integral representations is the use of certain special decompositions in the derivative-transferring process via Stokes's theorem. Existence of such decompositions is ensured by a careful consideration of the singularity nature of the kernels, and a particular solution of the weakly singular functions involved is obtained by solving a system of partial differential equations via a method of Radon transforms. The final results, for general anisotropy, are given in a concise form in terms of an equatorial line integral that is suitable for numerical evaluation. As part of the verification, a numerical experiment is carried out for isolated crack problems via use of a weakly singular SGBEM and results exhibit only mild dependence on the mesh refinement and excellent agreement with existing analytical solutions.

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Application of piezoelectric actuators to active control of composite spherical caps

Cited by 10 publications

References 8 publications

On the directional decoupling characteristics of active stiffeners for shape control of two-dimensional structures

On the directional decoupling characteristics of active stiffeners for shape control of two-dimensional structures

Micro-Sensor Electromechanics and Distributed Signal Analysis of Piezo(electric)-Elastic Spherical Shells

Regularized boundary integral representations for dislocations and cracks in smart media

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