Control of beam vibrations by means of piezoelectric devices: theory and experiments

Gaudenzi, Paolo; Carbonaro, Rolando; Benzi, Edoardo

doi:10.1016/s0263-8223(00)00114-8

Cited by 84 publications

(65 citation statements)

References 5 publications

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“…Tzou [3] gave exhaustive information on vibration control of beams, plates and shells using piezoelectric materials. Gaudenzi et al [4] demonstrated the aspects of vibration control of beams with collocated PZT piezopatches using velocity and position feedback systems. Lam and Ng [5] presented theoretical formulation for laminated plates using classical plate theory and Navier solutions.…”

Section: Introductionmentioning

confidence: 99%

Active vibration control of piezolaminated stiffened plates

Mukherjee

Joshi

Ganguli

2002

Composite Structures

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The aim of this work is to present active vibration control of stiffened plates. A stiffened plate finite element with piezoelectric effects is formulated. The characteristic feature of the stiffener is that it can have any shape in plan and need not pass through the nodal lines of the finite element mesh. The coupling between the direct and the converse piezoelectric effects is neglected for simplicity. A velocity feedback algorithm is employed in the active control. Numerical examples for vibration control of isotropic and orthotropic stiffened plates have been presented.

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Section: Introductionmentioning

confidence: 99%

Active vibration control of piezolaminated stiffened plates

Mukherjee

Joshi

Ganguli

2002

Composite Structures

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“…These feedback control systems are reactive, modifying the isolating behavior of the system according to the vibration data measured. There are numerous papers in literature where the active vibration control for flexible structures is tackled (such as [7][8][9][10]). Typically, piezoelectric patches, mounted on the structure, are used as actuators.…”

Section: Introductionmentioning

confidence: 99%

Brillouin Optical Time Domain Analysis Sensor for Active Vibration Control of a Cantilever Beam

Minardo¹,

Coscetta

Pirozzi³

et al. 2016

Journal of Sensors

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The paper reports the use of a distributed optical fiber sensor based on stimulated Brillouin scattering, for structural vibration control. A cantilevered flexible aluminum beam was used as test-bed for vibration control. The proposed approach allows acquiring simultaneously the dynamic strain at several locations. The dynamic strain measured at one (or more) fiber location can be used to implement any vibration control algorithm. Experimental results are reported in which a voice coil, positioned near the fixed end of the cantilever beam, was employed as actuator for the reduction of the vibrations related to the first bending mode of the beam.

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“…Also, the classical laminate theory based piezoelectric plate finite elements (Hwang and Park, 1993;Lam et al, 1997;Wang et al, 1997) and beam elements (Balamurugan and Narayanan, 2002;Bendary et al, 2010;Bruent et al, 2001;Carpenter, 1997;Gaudenzi et al, 2000;Hanagud et al, 1992;Kumar and Narayanan, 2008;Manjunath and Bandyopadhyay, 2004;Robbins and Reddy, 1991;Sadilek and Zemcik, 2010;Stavroulakis et al, 2005;Zemcik and Sadilek, 2007) are available in the literature for the analysis of extension mode piezoelectric beams.…”

Section: Introductionmentioning

confidence: 99%

“…The active vibration control of beams using piezoelectric material was studied using Euler-Bernoulli piezoelectric beam finite elements by Balamurugan andNarayanan (2002), Bruent et al (2001), Gaudenzi et al (2000), Hanagud et al (1992), Kumar and Narayanan (2008), Manjunath and Bandyopadhyay (2004) and Stavroulakis et al (2005). Carpenter (1997) used energy methods to derive Euler-Bernoulli beam finite element for analyzing elastic beams with piezoelectric materials.…”

Section: Introductionmentioning

confidence: 99%

An efficient coupled polynomial interpolation scheme to eliminate material-locking in the Euler-Bernoulli piezoelectric beam finite element

Sulbhewar

Raveendranath

2015

Lat. Am. j. solids struct.

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The convergence characteristic of the conventional two-noded Euler-Bernoulli piezoelectric beam finite element depends on the configuration of the beam cross-section. The element shows slower convergence for the asymmetric material distribution in the beam cross-section due to 'material-locking' caused by extension-bending coupling. Hence, the use of conventional Euler-Bernoulli beam finite element to analyze piezoelectric beams which are generally made of the host layer with asymmetrically surface bonded piezoelectric layers/patches, leads to increased computational effort to yield converged results. Here, an efficient coupled polynomial interpolation scheme is proposed to improve the convergence of the Euler-Bernoulli piezoelectric beam finite elements, by eliminating ill-effects of material-locking. The equilibrium equations, derived using a variational formulation, are used to establish relationships between field variables. These relations are used to find a coupled quadratic polynomial for axial displacement, having contributions from an assumed cubic polynomial for transverse displacement and assumed linear polynomials for layerwise electric potentials. A set of coupled shape functions derived using these polynomials efficiently handles extension-bending and electromechanical couplings at the field interpolation level itself in a variationally consistent manner, without increasing the number of nodal degrees of freedom. The comparison of results obtained from numerical simulation of test problems shows that the convergence characteristic of the proposed element is insensitive to the material configuration of the beam cross-section.

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Control of beam vibrations by means of piezoelectric devices: theory and experiments

Cited by 84 publications

References 5 publications

Active vibration control of piezolaminated stiffened plates

Active vibration control of piezolaminated stiffened plates

Brillouin Optical Time Domain Analysis Sensor for Active Vibration Control of a Cantilever Beam

An efficient coupled polynomial interpolation scheme to eliminate material-locking in the Euler-Bernoulli piezoelectric beam finite element

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