Variational modeling of ionic polymer plate structures

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-byfrequency 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.

Investigating the Effects of Ionic Polymer Metal Composite Patches on Aeroelastic Characteristics of a Cantilever Wing in Supersonic Flow

“…For transverse displacement, eight mode numbers are selected; four in streamwise and two in span-wise directions. In the present study, IPMC patches with dimensions of 38 mm 38 mm 0:3 mm are considered [16]. A Li+cation is the mobile ion and EmI-Tf ionic liquid is the solvent.…”

“…Buechler [16] represented the relation between stress and electric displacement of IPMC materials as follows:…”

“…These properties include the elastic modulus, which has viscoelastic e ects, dielectric permittivity, which is not purely capacitive like a piezoelectric device, and the strain coe cient, which again is frequency dependent. These material properties are summarized in Table 1 for the IPMC characteristics given by Buechler [16].…”

“…Transfer functions for di erent material characteristics of IPMC are given in Table 1 [16]. Since these transfer functions have real poles and zeros with large negative values, these poles and zeros are ignored according to the concept of dominate poles and zeros given in automatic control theory.…”

Energy harvesting from limit cycle oscillation of a cantilever plate in low subsonic flow by ionic polymer metal composite

“…These material properties are summarized in Table 1 for IPMC characteristics given by Buechler. 24 Buechler expressed them in terms of Laplace operator ''s'' to denote that IPMC characteristics are dependent on frequency. In Table 1, m, F, and V denote meter, Farad, and voltage units.…”