Variational modeling of ionic polymer plate structures

Miles A. Buechler; Donald J. Leo

doi:10.1117/12.659361

27 March 2006 Variational modeling of ionic polymer plate structures

Miles A. Buechler, Donald J. Leo

Proceedings Volume 6166, Smart Structures and Materials 2006: Modeling, Signal Processing, and Control; 61660L (2006) https://doi.org/10.1117/12.659361
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2006, San Diego, California, United States

Abstract

Ionomeric polymers are a promising class of intelligent material which exhibit electromechanical coupling similar to that of piezoelectric bimorphs. Ionomeric polymers are much more compliant than piezoelectric ceramics or polymers and have been shown to produce actuation strain on the order of 5% at operating voltages between 1 V and 5 V. This performance indicates the potential for self-actuating devices manufactured from ionomeric polymers, such as deformable mirrors or low pressure pump diaphragms. This paper presents a variational approach to the dynamic modeling of ionic polymer plates in rectangular coordinates. A linear matrix equation, which relates displacement and charge to applied forces and voltage, is developed to determine the response of the structure to applied forces and applied potentials. The modeling method is based on the incorporation of empirically determined material properties, which have been shown to be highly frequency dependent. The matrices are calculated at discrete frequencies and solved frequency-by-frequency to determine the response of the ionomeric plate structures. A model of a thin rectangular plate is developed and validated experimentally. Simulated frequency response functions are compared to experimental results for several locations on the plate. The response of the plate at certain frequencies is computed and compared to experimentally-determined response shapes. The results demonstrate the validity of the modeling approach in predicting the dynamic response of the ionomeric plate structure. These spatial solutions are also compared to experimentally determined response shapes.

Citation Download Citation

Miles A. Buechler and Donald J. Leo "Variational modeling of ionic polymer plate structures", Proc. SPIE 6166, Smart Structures and Materials 2006: Modeling, Signal Processing, and Control, 61660L (27 March 2006); https://doi.org/10.1117/12.659361

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