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Article Dans Une Revue Smart Materials and Structures Année : 2011

Distributed piezoelectric sensors for boundary force measurements in Euler-Bernoulli beams

Résumé

In many vibro-acoustic problems, in which structures are excited by their boundaries, the identification of boundary quantities such as bending moments and shear forces is not straightforward because these quantities are not readily accessible. Moreover, since they are proportional to the spatial derivatives of the structure's displacements, their quantification using methods based on post-processing remains very sensitive to uncertainties. In this paper, a new class of distributed piezoelectric sensors is proposed, using laminate theory and the weak forms of the equation of motion for a beam. Using this approach, it is shown that the bending moments or the shear forces can be determined at the boundaries, using spatial integrations generated by piezoelectric patches (or PVDF films) with specific shapes. Following a description of the general approach, this paper provides a description for the case of bending moment identification. In this example, the calculations used to determine the adequate shapes are presented. An analytical one-dimensional (1D) simulation, together with a numerical three-dimensional (3D) simulation, taking into account the influence of uncertainties, demonstrate the accuracy of the developed sensor. The same technique can be applied to shear force identification, as shown in the last section of this paper.

Dates et versions

hal-00628477 , version 1 (03-10-2011)

Identifiants

Citer

Simon Chesné, Charles Pezerat. Distributed piezoelectric sensors for boundary force measurements in Euler-Bernoulli beams. Smart Materials and Structures, 2011, 20 (7), pp.075009. ⟨10.1088/0964-1726/20/7/075009⟩. ⟨hal-00628477⟩
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