Piezoelectric actuation and sensing mechanisms––closed form solutions

Edery-Azulay, Lucy; Abramovich, Haim

doi:10.1016/j.compstruct.2003.09.045

Cited by 30 publications

(16 citation statements)

References 19 publications

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“…The higher voltage output can be explained by the fact that the magnitudes of the piezoelectric constant, d 33 , are generally 2-2.5 times higher than the piezoelectric constant, d 31 . Using piezoelectric materials for energy harvesting/sensing, the shear type, 15 mode, might provide a larger output as compared to the 31 and 33 modes for certain loading cases [16]. Edery-Azulay and Abramovich [16] found that for cases of low lateral displacements, the 15 mode has a greater output than the 31 mode, and by decreasing the thickness of the 15 mode piezoelectric beam while keeping its volume the same, the efficiency of the 15 mode can become much bigger than that of the 31 mode.…”

Section: Introductionmentioning

confidence: 98%

A shear mode piezoelectric energy harvester based on a pressurized water flow

Wang

Liu

2011

Sensors and Actuators A: Physical

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Section: Introductionmentioning

confidence: 98%

A shear mode piezoelectric energy harvester based on a pressurized water flow

Wang

Liu

2011

Sensors and Actuators A: Physical

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“…Respectively, 11 , 11 , and 55 are the induced piezoelectric axial force, bending moment due to deformation of the actuator, and the shear strength given by [13,15] …”

Section: Basic Equations and Fe Methods Implementationmentioning

confidence: 99%

“…where = 11 is the extension stress, = 55 , is the shear stress, is the beam width, is the distance measured between the plane of the structure and that of the th layer laminate, ℎ is the total thickness of the structure (beam + actuator/sensor + beam), is the axial force, is the bending moment, is the shear force, 11 , 11 , 11 , 55 are the extension, extension-bending, bending, and transverse shear stiffness coefficients given by [13,15] …”

Section: Basic Equations and Fe Methods Implementationmentioning

confidence: 99%

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Thermoelastic and Pyroelectric Couplings Effects on Dynamics and Active Control of Smart Piezolaminated Beam Modeled by Finite Element Method

Sanbi

Saadani²,

Sbai³

et al. 2014

Smart Materials Research

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Smart structures with integrated sensors, actuators, and control electronics are of importance to the next generation highperformance structural systems. In this study, thermopiezoelastic characteristics of piezoelectric beam continua are studied and applications of the theory to active structures in sensing and optimal control are discussed. Using linear thermopiezoelastic theory and Timoshenko assumptions, a generic thermopiezoelastic theory for piezolaminated composite beam is derived. Finite element equations for the thermopiezoelastic media are obtained by using the linear constitutive equations in Hamilton's principle together with the finite element approximations. The structure consists of a modeling of cantilevered piezolaminated Timoshenko beam with integrated thermopiezoelectric elements between two aluminium layers. The structure is modelled analytically and then numerically and the results of simulations are presented in order to visualize the states of their dynamics and the state of control. The optimal control LQG accompanied by the Kalman filter is applied. The effects of thermoelastic and pyroelectric couplings on the dynamics of the structure and on the control procedure are studied and discussed. We show that the control procedure cannot be perturbed by applying a thermal gradient and the control can be applied at any time during the period of vibration of the beam.

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“…They validated the analytical solutions with finite element simulations. Abramovich (2003) and Edery-Azulay and Abramovich (2004) proposed FSDT based closed form solutions for bending angle and axial and lateral displacements for shear mode smart beams and carried out a parametric study for various configurations, lay-ups and boundary conditions. Analytical solutions using the state-space approach along with the Jordan canonical form were proposed by Aldraihem and Khdeir (2000;2003) to solve beam bending problem for beams with continuous and segmented piezoelectric actuators, respectively.…”

Section: Introductionmentioning

confidence: 99%

An efficient coupled polynomial interpolation scheme for shear mode sandwich beam finite element

Sulbhewar

Raveendranath

2014

Lat. Am. j. solids struct.

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An efficient piezoelectric sandwich beam finite element is presented here. It employs the coupled polynomial field interpolation scheme for field variables which incorporates electromechanical coupling at interpolation level itself; unlike conventional sandwich beam theory (SBT) based formulations available in the literature. A variational formulation is used to derive the governing equations, which are used to establish the relationships between field variables. These relations lead to the coupled polynomial field descriptions of variables, unlike conventional SBT formulations which use assumed independent polynomials. The relative axial displacement is expressed only by coupled terms containing contributions from other mechanical and electrical variables, thus eliminating use of the transverse displacement derivative as a degree of freedom. A set of coupled shape function based on these polynomials has shown the improvement in the convergence characteristics of the SBT based formulation. This improvement in the performance is achieved with one nodal degree of freedom lesser than the conventional SBT formulations.

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Piezoelectric actuation and sensing mechanisms––closed form solutions

Cited by 30 publications

References 19 publications

A shear mode piezoelectric energy harvester based on a pressurized water flow

A shear mode piezoelectric energy harvester based on a pressurized water flow

Thermoelastic and Pyroelectric Couplings Effects on Dynamics and Active Control of Smart Piezolaminated Beam Modeled by Finite Element Method

An efficient coupled polynomial interpolation scheme for shear mode sandwich beam finite element

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