Active control of geometrically nonlinear transient vibrations of laminated composite cylindrical panels using piezoelectric fiber reinforced composite

Shivakumar, J.; Ashok, M. H.; Ray, M. C.

doi:10.1007/s00707-012-0724-y

Cited by 24 publications

(7 citation statements)

References 37 publications

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“…For the partially clamped plate (6), (4) or (5), the combinations of the trigonometric functions are taken:…”

Section: The Partial Sums Of the Fourier Series For The Solution Inimentioning

confidence: 99%

“…A review of shape control with piezoelectric actuation is presented by Irschik [3]. Control of vibrations using piezoelectric composites for laminated composite cylindrical panels is considered in the paper of Shivakumar et al [4] and for plates in the work of Sarangi and Ray [6]. Farhadi and Hosseini [5] studied an active vibration suppression of a fluttering plate with piezoelectric patches.…”

Section: Introductionmentioning

confidence: 98%

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Hybrid control of vibrations of a smart von Kármán plate

Muradova

Stavroulakis

2015

Acta Mech

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The suppression of large vibrations of a smart thin elastic rectangular von Kármán's plate is considered. The plate is subjected to external disturbances and generalized control forces produced by electromechanical feedback. The considered nonlinear initial-boundary value problem is spatially discretized by means of the time spectral method. The implicit Newmark-β iterative method is employed for the time integration of the obtained system of nonlinear equations of motion. Nonlinear controllers are designed, based on a fuzzy inference system. Two numerical algorithms involving a general control of displacement/velocity and a direct control of the Fourier coefficients are proposed. The techniques have been implemented within MATLAB environment with the use of the fuzzy logic toolbox. Numerical examples are presented.

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“…For the partially clamped plate (6), (4) or (5), the combinations of the trigonometric functions are taken:…”

Section: The Partial Sums Of the Fourier Series For The Solution Inimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Hybrid control of vibrations of a smart von Kármán plate

Muradova

Stavroulakis

2015

Acta Mech

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“…It was found that the effect of the location of piezoelectric layers is significant at higher vibration amplitudes and marginal at lower amplitudes. Active damping of geometrically non linear vibrations of laminated curved panels with piezoelectric layers was studied by Sarangi and Ray [264,265], Karnaukhov et al [266] and Shivakumar et al [267].…”

Section: Composite Panelsmentioning

confidence: 99%

Non-linear vibrations of shells: A literature review from 2003 to 2013

Alijani

Amabili

2014

International Journal of Non-Linear Mechanics

214

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International audienceThe present literature review focuses on geometrically non linear free and forced vibrations of shells made of traditional and advanced materials. Flat and imperfect plates and membranes are excluded. Closed shells and curved panels made of isotropic, laminated composite, piezoelectric, functionally graded and hyperelastic materials are reviewed and great attention is given to non linear vibrations of shells subjected to normal and in plane excitations. Theoretical, numerical and experimental studies dealing with particular dynamical problems involving parametric vibrations, stability, dynamic buckling, non stationary vibrations and chaotic vibrations are also addressed. Moreover, several original aspects of non linear vibrations of shells and panels, including (i) fluid structure interactions, (ii) geometric imperfections, (iii) effect of geometry and boundary conditions, (iv) thermal loads, (v) electrical loads and (vi) reduced order models and their accuracy including perturbation techniques, proper orthogonal decomposition, non linear normal modes and meshless methods are reviewed in depth

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“…The MFC has also been utilized in structural health monitoring system (Park et al, 2008). Besides the MFC/AFC actuator, the uses of horizontally/vertically reinforced 1-3 PZCs (Mallik and Ray, 2003; Smith and Auld, 1991) are also addressed indicatively in the similar control applications (Ghosh et al, 2015; Panda and Ray, 2006; Ray and Mallik, 2004; Reddy and Ray, 2007; Shivakumar et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

A comparative study on the smart damping capabilities of cylindrically orthotropic piezoelectric fiber–reinforced composite actuators in vibration control of simply supported/fully clamped isotropic annular plate

Kumar

Panda

Reddy

2016

Journal of Intelligent Material Systems and Structures

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For active control of vibration of plane structures of revolution, a cylindrically orthotropic piezoelectric fiber–reinforced composite actuator is addressed in a recent study. Some other available piezoelectric composites, which are originally constructed in Cartesian coordinate frame, can also be reconstructed in polar coordinate frame for similar application. Making use of all these piezoelectric composites in polar coordinate frame of an annular plate, a comparative study on their control capabilities is performed at present. All the piezoelectric composites are used in the form of patches which are optimally configured over the host plate surface and utilized as smart dampers. The geometrical and material properties of the piezoelectric composites are taken in uniform manner and the corresponding electric fields in function of applied voltage are evaluated for derivation of a closed-loop finite element model of the smart annular plate. First, the patches of every piezoelectric composite are optimally configured through the proposition of a new methodology. Next, the control/damping capabilities of the piezoelectric composites are evaluated for fundamental symmetric/asymmetric mode of vibration of the plate. The numerical results first illustrate the implementation and suitability of the present methodology for optimal size and locations of actuator patches. Subsequently, the results demonstrate damping capabilities of all the piezoelectric composites to label potential ones.

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Active control of geometrically nonlinear transient vibrations of laminated composite cylindrical panels using piezoelectric fiber reinforced composite

Cited by 24 publications

References 37 publications

Hybrid control of vibrations of a smart von Kármán plate

Hybrid control of vibrations of a smart von Kármán plate

Non-linear vibrations of shells: A literature review from 2003 to 2013

A comparative study on the smart damping capabilities of cylindrically orthotropic piezoelectric fiber–reinforced composite actuators in vibration control of simply supported/fully clamped isotropic annular plate

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