Deflection control during dynamic deformations of a rectangular plate using piezoceramic elements

Batra, R.C.; Ghosh, Kaustav

doi:10.2514/3.12588

Cited by 28 publications

(16 citation statements)

References 2 publications

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“…Obviously such a location strongly depends on the mode to be controlled: indeed in both the case of beam or plate vibrations control it can be proven (see e.g. Batra and Ghosh, 1995) that a location effective for one mode is often ineffective for the others. Therefore several authors (see e.g.…”

Section: Historical Backgroundmentioning

confidence: 99%

A revival of electric analogs for vibrating mechanical systems aimed to their efficient control by PZT actuators

Alessandroni

Dell’Isola

Porfiri

2002

International Journal of Solids and Structures

114

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In this paper we revive classical methods (i.e. those needed to synthesize analog circuits for designing direct computers) in order to conceive novel devices which we call piezo-electro-mechanical (PEM) structural members. By means of two independent synthesis procedures, new circuital analogs for the uniformly damped Elastica and Kirchhoff-Love plate are found. These circuits are used as electrical wave guides gyroscopically coupled to the corresponding mechanical members to design electrically dissipative PEM systems. The concept on which these systems are based exploits piezoelectric transducers--uniformly distributed on the member--to transform strain energy into capacitive energy: this last will be subsequently dissipated using resistors, the optimal value of which is determined by a pole placement criterion. We underline that in PEM structures PZT transducers can be regarded, at the same time, as sensors and actuators. By means of analytical methods and numerical simulations, the electro-mechanical constitutive parameters of some PEM structures are determined and it is shown that they can be designed and may be technically feasible. Moreover it is shown that in PEM structures, also when mechanical dissipative phenomena are negligible, mechanical vibrations are efficiently damped by means of completely passive electrical circuits. Ó 2002 Published by Elsevier Science Ltd.Keywords: Mechanical vibrations control; Piezoelectric distributed control; Electro-mechanical dampers An analogy is a recognized relationship of consistent mutual similarity between the equations and structures appearing within two or more fields of knowledge, and an identification and association of the quantities and structural elements which play mutually similar roles in these equations and structures, for the purpose of facilitating transfer of knowledge of mathematical procedures of analysis and behavior of the structures between these fields (Firestone, 1956).

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Section: Historical Backgroundmentioning

confidence: 99%

A revival of electric analogs for vibrating mechanical systems aimed to their efficient control by PZT actuators

Alessandroni

Dell’Isola

Porfiri

2002

International Journal of Solids and Structures

114

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“…Numerous authors have used the ®nite element method (FEM) to analyse smart structural problems by using either a beam theory (e.g. see Hanagud et al 1987; Im and Atluri 1989; amongst others), a plate theory (Chandrashekhara and Agarwal 1993; Batra and Ghosh 1995;Samanta et al 1996;Suleman and Venkayya 1995;amongst others), and a shell theory (Tzou and Gadre 1989;Qiu and Tami 1996;amongst others). The three-dimensional FEM has been used by Allik and Hughes (1970), Mollenhauer and Grif®n (1994), Tzou et al (1994), Hauch (1995) and others.…”

Section: Introductionmentioning

confidence: 99%

Finite dynamic deformations of smart structures

Batra

Liang

1997

Computational Mechanics

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We study transient ®nite deformations of a neoHookean beam or plate with piezoelectric (PZT) patches bonded to its upper and lower surfaces. The constitutive relations for the PZTs are taken to be linear in the Green-Lagrange strain tensor but quadratic in the driving voltage. A ®nite element code using 8-noded brick elements has been developed and validated by comparing computed results with either analytical solutions or experimental observations. For¯exural waves propagating through a cantilever beam, the sensor output is in¯uenced a little by the presence of a defect placed symmetrically about the centroidal axis. A simple feedback control algorithm is shown to control the motion of a neoHookean plate subjected to an impulsive load.

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“…Mechanical models have been developed by Crawley and de Luis (1987), Crawley and Anderson (1990) and others to analyze deformations and stresses in beams with surface-bonded piezoelectric actuators. Lee (1990), Wang and Rogers (1991), Batra and Ghosh (1995), Ghosh and Batra (1995), and Mitchell and Reddy (1995) have developed plate theories for composite laminates with embedded and/or surface mounted piezoelectric sensors and actuators. Numerous finite element studies have also been conducted (Allik and Hughes, 1970;Robbins and Reddy, 1991;Ha et al, 1992;Batra and Liang, 1997b;Batra and Geng, 2002).…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for the cylindrical bending vibration of piezoelectric composite plates

Vel

Mewer

Batra

2004

International Journal of Solids and Structures

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Deflection control during dynamic deformations of a rectangular plate using piezoceramic elements

Cited by 28 publications

References 2 publications

A revival of electric analogs for vibrating mechanical systems aimed to their efficient control by PZT actuators

A revival of electric analogs for vibrating mechanical systems aimed to their efficient control by PZT actuators

Finite dynamic deformations of smart structures

Analytical solution for the cylindrical bending vibration of piezoelectric composite plates

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