Modeling of a piezoelectric beam on a semi-infinite elastic strip

Balajee Ananthasayanam; Eric M. Austin

doi:10.1117/12.484016

1 August 2003 Modeling of a piezoelectric beam on a semi-infinite elastic strip

Balajee Ananthasayanam, Eric M. Austin

Proceedings Volume 5049, Smart Structures and Materials 2003: Modeling, Signal Processing, and Control; (2003) https://doi.org/10.1117/12.484016
Event: Smart Structures and Materials, 2003, San Diego, California, United States

Abstract

We have developed a detailed model for a piezoelectric patch bonded perfectly to a semi-infinite substrate. There are well-established techniques for representing the effects of piezoelectric actuation on a flexible substrate by equivalent moments, but the accuracy of moments rely on classical beam behavior in both the actuation and substrate layers. The goal of the work presented here is to present a model capable of predicting both the actuation and sensing ability of a smart material on a general substrate. The piezoelectric layer is modeled by classical beam theory, but no kinematic assumptions other than plane strain are imposed on the substrate. Equilibrium is enforced between the piezoelectric patch and the surface tractions over the interface region, and standard Euler-Bernoulli beam theory is then used to form integral equations in terms of the displacement gradients at the interface with the substrate. Green's functions are then derived for a semi-infinite substrate using techniques from contact mechanics. There is no loss of generality in choosing a semi-infinite substrate since the effects of actuation by a patch disappear quickly outside the contact region. Preliminary results that both validate the current model and support the equivalent-moment action models for certain substrates are presented.

Citation Download Citation

Balajee Ananthasayanam and Eric M. Austin "Modeling of a piezoelectric beam on a semi-infinite elastic strip", Proc. SPIE 5049, Smart Structures and Materials 2003: Modeling, Signal Processing, and Control, (1 August 2003); https://doi.org/10.1117/12.484016

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