Spatial filters in structural control

Preumont, André; François, A.; Man, P. De; Piefort, Vincent

doi:10.1016/s0022-460x(02)01440-2

Cited by 82 publications

(74 citation statements)

References 15 publications

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“…In practice however, the effects in the direction transverse to the beam neutral axis cannot be neglected, as clearly demonstrated both numerically and experimentally in Ref. 6 for modal filters. In order to correctly compute the equivalent loads of thin piezoelectric transducers, it is therefore necessary to use the plate theory.…”

Section: Introductionmentioning

confidence: 88%

Equivalent loads for two-dimensional distributed anisotropic piezoelectric transducers with arbitrary shapes attached to thin plate structures

Deraemaeker

Tondreau

Bourgeois

2011

The Journal of the Acoustical Society of America

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When a voltage is applied across the electrodes of a flat piezoelectric transducer attached to a thin plate structure, the transducer acts as equivalent loads applied to the host plate structure. In this paper, analytical expressions of these equivalent loads are derived for the general case of an orthotropic piezoelectric actuator using Hamilton's principle and two different mathematical approaches leading to the same results: Green's theorem and derivation using the theory of distributions. The equivalent loads are a function of the material properties as well as the normal to the contour of the transducer. Examples of applications to simple geometric shapes (triangle, rectangle, and circle) are given.

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Section: Introductionmentioning

confidence: 88%

Equivalent loads for two-dimensional distributed anisotropic piezoelectric transducers with arbitrary shapes attached to thin plate structures

Deraemaeker

Tondreau

Bourgeois

2011

The Journal of the Acoustical Society of America

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“…To remedy such a situation, this paper continues to develop distributed control for non-Fourier heat conduction, inasmuch as distributed sensors and actuators are well-developed nowadays [3][4][5][6][7][8][9][10][11][12][13][14]. Distributed control is capable of tracking precise local-temperatures with slow heating over the entire region of heat conduction, which is otherwise beyond the nature of pointed control.…”

Section: Introductionmentioning

confidence: 99%

Distributed Control of Heat Conduction in Thermal Inductive Materials with 2D Geometrical Isomorphism

Chou

Hong

Chiang

et al. 2014

Entropy

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Abstract:In a previous study we provided analytical and experimental evidence that some materials are able to store entropy-flow, of which the heat-conduction behaves as standing waves in a bounded region small enough in practice. In this paper we continue to develop distributed control of heat conduction in these thermal-inductive materials. The control objective is to achieve subtle temperature distribution in space and simultaneously to suppress its transient overshoots in time. This technology concerns safe and accurate heating/cooling treatments in medical operations, polymer processing, and other prevailing modern day practices. Serving for distributed feedback, spatiotemporal μ / ∞ H control is developed by expansion of the conventional 1D-μ / ∞ H control to a 2D version. Therein 2D geometrical isomorphism is constructed with the Laplace-Galerkin transform, which extends the small-gain theorem into the mode-frequency domain, wherein 2D transfer-function controllers are synthesized with graphical methods. Finally, 2D digital-signal processing is programmed to implement 2D transfer-function controllers, possibly of spatial fractionorders, into DSP-engine embedded microcontrollers. OPEN ACCESSEntropy 2014, 16 4938

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“…Preumont [10] had done a comparison between two types of modal filters. For the discrete configuration he used a glass plate with 32 bonded sensors and would obtain the FRF's point to point, relating the position of each sensor with some weighting coefficients, and so, would compare the FRF with an expected modal filtered answer.…”

Section: Introductionmentioning

confidence: 99%