Equations for the control of the flexural vibrations of composite plates by partially electroded piezoelectric actuators

Harry F. Tiersten

doi:10.1117/12.200928

2 February 1995 Equations for the control of the flexural vibrations of composite plates by partially electroded piezoelectric actuators

Harry F. Tiersten

Author Affiliations +

Proceedings Volume 2427, Active Materials and Smart Structures; (1995) https://doi.org/10.1117/12.200928
Event: Symposium on Active Materials and Smart Structures: Society of Engineering Science 31st Annual Meeting, 1994, College Station, TX, United States

Abstract

A system of 2D equations for the flexural vibrations of symmetric composite plates with both unelectroded and electroded portions of piezoelectric actuators attached to the top and bottom surfaces is obtained. The resulting system of equations is applied in the analysis of the cylindrical bending of a composite plate caused by voltages applied to partially electroded piezoelectric actuators. It is shown that no shearing stress is transferred across the interfaces between the electroded portions of the actuators and the composite plate and that an exponentially decaying shearing stress is transferred across the interfaces in the unelectroded regions of the actuators. The resulting finite shearing stress shows that when the electrodes end a short distance from the edge of the actuator, the undesirable singular shearing stress distribution that exists when the electrodes extend to the edge of the actuator is eliminated.

Citation Download Citation

Harry F. Tiersten "Equations for the control of the flexural vibrations of composite plates by partially electroded piezoelectric actuators", Proc. SPIE 2427, Active Materials and Smart Structures, (2 February 1995); https://doi.org/10.1117/12.200928

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