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Journal ArticleDOI

Layerwise partial mixed finite element analysis of magneto-electro-elastic plates

01 Jul 2004-Computers & Structures (Pergamon)-Vol. 82, Iss: 17, pp 1293-1301
TL;DR: In this paper, a partial mixed layerwise finite element model for adaptive plate structures is presented by considering a Reissner mixed variational principle, and the mixed functional is formulated using transverse stresses, displacement components and electric and magnetic potentials as primary variables.
About: This article is published in Computers & Structures.The article was published on 2004-07-01. It has received 148 citations till now. The article focuses on the topics: Mixed finite element method & Extended finite element method.
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10 Aug 2006
TL;DR: In this paper, the Lagrangian dynamics of mechanical systems are studied and Lagrange's equations with constraints with respect to kinematic constraints for continuous systems are presented. But the authors focus on continuous systems and do not consider the case of discrete transducers.
Abstract: Lagrangian dynamics of mechanical systems 1.1 Introduction 1.2 Kinetic state functions 1.3 Generalized coordinates, kinematic constraints 1.4 The principle of virtual work 1.5 D'Alembert's principle 1.6 Hamilton's principle 1.7 Lagrange's equations 1.8 Lagrange's equations with constraints 1.9 Conservation laws 1.10 More on continuous systems 1.11 References 2 Dynamics of electrical networks 2.1 Introduction 2.2 Constitutive equations for circuit elements 2.3 Kirchhoff's laws 2.4 Hamilton's principle for electrical networks 2.5 Lagrange's equations 2.6 References 3 Electromechanical Systems 3.1 Introduction 3.2 Constitutive relations for transducers 3.3 Hamilton's Principle 3.4 Lagrange's equations 3.5 Examples 3.6 General electromechanical transducer 3.7 References 4 Piezoelectric Systems 4.1 Introduction 4.2 Piezoelectric transducer 4.3 Constitutive relations of a discrete transducer 4.4 Structure with a discrete piezoelectric transducer 4.5 Multiple transducer systems 4.6 General piezoelectric structure 4.7 Piezoelectric material 4.8 Hamilton's principle 4.9 Rosen's piezoelectric transformer 4. 10 References 5 Piezoelectric laminates 5.1 Piezoelectric beam actuator 5.2 Laminar sensor 5.3 Spatial modal filters 5.4 Active beam with collocated actuator-sensor 5.5 Piezoelectric laminates 5.6 References 6 Active and Passive Damping with Piezoelectric Transducers 6.1 Introduction 6.2 Active strut, open-loop FRF 6.3 Active damping via 1FF 6.4 Admittance of the piezoelectric transducer 6.5 Damping via resistive shunting 6.6 Inductive shunting 6.7 Decentralized control 6.8 General piezoelectric structure 6.9 Self-sensing 6.10 Other active damping strategies 6.11 Remark 6.12 References Bibliography Index

338 citations

Journal ArticleDOI
TL;DR: In this article, an approximate solution for the free vibration problem of two-dimensional magneto-electro-elastic laminates is presented to determine their fundamental behavior, which is composed of linear homogeneous elastic, piezoelectric, or magnetostrictive layers with perfect bonding between each interface.

244 citations

Journal ArticleDOI
TL;DR: In this paper, different electromagnetic boundary conditions on the crack-faces in magnetoelectroelastic materials, which possess coupled piezoelectric, piezomagnetic and magnetelectric effects, are discussed.

178 citations


Cites background from "Layerwise partial mixed finite elem..."

  • ...It should be noted that the value of c11 for CoFe2O4 used in a number of papers is negative (e.g., Huang and Kuo, 1997; Hu and Li, 2005; Aboudi, 2001; Lage et al., 2004; Chen et al., 2002)....

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Journal ArticleDOI
TL;DR: This review is expected to provide a clear picture of layerwise theory for modeling of composite laminated structures and serve as a useful resource and guide to researchers who intend to extend their work into these research areas.

170 citations

Journal ArticleDOI
TL;DR: In this article, Chen et al. derived a finite element model based on constitutive equation of piezomagnetic material accounting for coupling between elasticity, electric and magnetic effect, and modeled the finite element with displacement components, electric potential and magnetic potential as nodal degree of freedom.

144 citations

References
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Journal ArticleDOI
TL;DR: In this article, the damping properties of a distributed magnetostrictive layer bonded to an aluminum beam for different boundary conditions and coil configurations are analyzed. But the authors focus on damping characteristics obtained using a distributed magnetic layer and its current carrying actuating coil.

44 citations

Journal ArticleDOI
TL;DR: In this article, a stochastic global optimization technique is implemented to find the optimal location of piezoelectric actuators in order to maximize its efficiency, where the discrete design variables are the ply orientation angles of orthotropic layers.

39 citations

Journal ArticleDOI
TL;DR: In this paper, a family of higher order B-spline finite strip models applied to the static and free vibration analysis of laminated plates, with arbitrary shape and lay-ups, loading and boundary conditions.

24 citations

Journal ArticleDOI
TL;DR: In this paper, a family of laminated plate/shell B-spline finite strip models based on higher order displacement fields applied to the optimal design of composite plate and shell structures with embedded and/or surface bonded piezoelectric actuators and sensors is presented.

23 citations

Journal ArticleDOI
TL;DR: In this paper, the authors present numerical simulation results for the compressible Euler equations and compressible Navier-Stokes equations using least-squares finite element models for the high and low-speed compressible flow regime.

22 citations