Investigation of nonlinear shear-induced flexural vibrations of piezoceramic actuators

Sandeep Kumar Parashar; Anirvan DasGupta; Peter Hagedorn

doi:10.1117/12.538060

26 July 2004 Investigation of nonlinear shear-induced flexural vibrations of piezoceramic actuators

Sandeep Kumar Parashar, Anirvan DasGupta, Peter Hagedorn

Proceedings Volume 5383, Smart Structures and Materials 2004: Modeling, Signal Processing, and Control; (2004) https://doi.org/10.1117/12.538060
Event: Smart Structures and Materials, 2004, San Diego, CA, United States

Abstract

Piezoelectric ceramic materials are widely used in solid state actuators and sensors. For piezoceramic elements, the use of the d15-effect is of particular interest since the shear piezoelectric coefficient is much higher than the other piezoelectric coefficients d31 or d33. Although this fact is widely known, the application of shear actuators is somewhat rare. Shear induced vibrations are more complex to describe mathematically and there is not an adequate understanding of nonlinear shear induced vibration behavior. At weak electric fields, piezoceramics are described by linearized constitutive relations around an operating point. However, in near resonance frequency excitation of the flexural vibration of piezoceramic beam using d15-effect, even at weak electric field, typical nonlinear vibration behavior is observed. This vibration behavior can not be adequately defined by the linear theories. In this paper, authors have attempted to model this nonlinear behavior using higher order cubic conservative and nonconservative terms in the constitutive equations. The linear eigenfunctions are used to discretize the nonlinear equation of motion obtained by Hamilton's principle. Perturbation methods are used to solve approximately the nonlinear equation of motion. Using this solution, nonlinear parameters are identified by comparing the theoretical and experimental results. The nonlinear effects and the modeling described herein may have strong influence on the design of existing applications and on the development of new applications based on the d15-effect.

Citation Download Citation

Sandeep Kumar Parashar, Anirvan DasGupta, and Peter Hagedorn "Investigation of nonlinear shear-induced flexural vibrations of piezoceramic actuators", Proc. SPIE 5383, Smart Structures and Materials 2004: Modeling, Signal Processing, and Control, (26 July 2004); https://doi.org/10.1117/12.538060

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