Active vibration control of piezolaminated stiffened plates

Mukherjee, Abhijit; Joshi, Shailendra P.; Ganguli, Abhijit

doi:10.1016/s0263-8223(01)00171-4

Cited by 35 publications

(18 citation statements)

References 13 publications

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“…(12). • for the transverse shear strains, a methodology named ''field compatibility'' has been developed in order to avoid the transverse shear locking in the thin plate domain: -the transverse shear strains are defined in reduced coordinates:…”

Section: The Displacement Approximationsmentioning

confidence: 99%

“…Our approach is clearly associated with the last item and in this field, we can point out a first family of electric potential approximations, see Suleman and Venkayya [10], Correia et al [7], Bansal and Ramaswamy [11], Mukherjee and Joshi [12], using only one dof for each piezoelectric lamina. Unfortunately, this layerwise approximation is not efficient for all situations as it will be seen later.…”

Section: Introductionmentioning

confidence: 99%

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Electric potential approximations for an eight node plate finite element

Polit¹,

Bruant²

2006

Computers & Structures

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The aim of this work is to develop a computational tool for multilayered piezoelectric plates: a low cost tool, simple to use and very efficient for both convergence velocity and accuracy, without any classical numerical pathologies. In the field of finite elements, two approaches were previously used for the mechanical part, taking into account the transverse shear stress effects and using only five unknown generalized displacements: C 0 finite element approximation based on first-order shear deformation theories (FSDT) [Polit O, Touratier M, Lory P. A new eight-node quadrilateral shear-bending plate finite element. Int J Numer Meth Eng 1994;37:387-411] and C 1 finite element approximations using a high order shear deformation theory (HSDT) [Polit O, Touratier M. High order triangular sandwich plate finite element for linear and nonlinear analyses. Comput Meth Appl Mech Eng 2000;185:305-24].In this article, we present the piezoelectric extension of the FSDT eight node plate finite element. The electric potential is approximated using the layerwise approach and an evaluation is proposed in order to assess the best compromise between minimum number of degrees of freedom and maximum efficiency. On one side, two kinds of finite element approximations for the electric potential with respect to the thickness coordinate are presented: a linear variation and a quadratic variation in each layer. On the other side, the in-plane variation can be quadratic or constant on the elementary domain at each interface layer. The use of a constant value reduces the number of unknown electric potentials. Furthermore, at the post-processing level, the transverse shear stresses are deduced using the equilibrium equations.Numerous tests are presented in order to evaluate the capability of these electric potential approximations to give accurate results with respect to piezoelasticity or finite element reference solutions. Finally, an adaptative composite plate is evaluated using the best compromise finite element.

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Section: The Displacement Approximationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electric potential approximations for an eight node plate finite element

Polit¹,

Bruant²

2006

Computers & Structures

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“…The sensing voltage V sk can be calculated by the following expression [30][31] : 6 Fengming LI and Zhiguang SONG…”

Section: Design Of Controllersmentioning

confidence: 99%

Vibration analysis and active control of nearly periodic two-span beams with piezoelectric actuator/sensor pairs

Song

2015

Appl. Math. Mech.-Engl. Ed.

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The piezoelectric materials are used to investigate the active vibration control of ordered/disordered periodic two-span beams. The equation of motion of each sub-beam with piezoelectric patches is established based on Hamilton's principle with an assumed mode method. The velocity feedback control algorithm is used to design the controller. The free and forced vibration behaviors of the two-span beams with the piezoelectric actuators and sensors are analyzed. The vibration properties of the disordered two-span beams caused by misplacing the middle support are also researched. In addition, the effects of the length disorder degree on the vibration performances of the disordered beams are investigated. From the numerical results, it can be concluded that the disorder in the length of the periodic two-span beams will cause vibration localizations of the free and forced vibrations of the structure, and the vibration localization phenomenon will be more and more obvious when the length difference between the two sub-beams increases. Moreover, when the velocity feedback control is used, both the forced and the free vibrations will be suppressed. Meanwhile, the vibration behaviors of the two-span beam are tuned.

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“…It took nearly 50 years since then, however, to obtain what might be called successful AVC, due to the level of electronic precision required to create a so-called anti-noise signal with any great fidelity. A considerable amount of work has been devoted to the development of methodologies for the design and realisation of AVC systems in various applications (Allaire et al, 1983;Choi et al, 1999;Daley et al, 2004;Firoozian and Stanway, 1988;Li et al, 2003;Mukherjee et al, 2002;Sto¨bener and Gaul, 2001). …”

Section: Active Vibration Controlmentioning

confidence: 99%