Numerical and experimental dynamic characteristics of thin-film membranes

Abstract

Presented is a total-Lagrangian displacement-based non-linear finite-element model of thin-film membranes for static and dynamic large-displacement analyses. The membrane theory fully accounts for geometric non-linearities. Fully non-linear static analysis followed by linear modal analysis is performed for an inflated circular cylindrical Kapton membrane tube under different pressures, and for a rectangular membrane under different tension loads at four comers. Finiteelement results show that shell modes dominate the dynamics of the inflated tube when the inflation pressure is low, and that vibration modes localized along four edges dominate the dynamics of the rectan-gular membrane. Numerical dynamic characteristics of the two membrane structures were experimentally verified using a Polytec PI PSV-200 scanning laser vibrometer and an EAGLE500 8camera motion analysis system.

On the dynamic electromechanical loading of dielectric elastomer membranes

“…The majority of research in this area has focused on vibrations of nearly rigid elastic materials. Young et al (2005), for example, excite rectangular and cylindrical Kapton membranes by means of a shaker, and the resulting vibrations and mode shapes are captured using a scanning laser vibrometer. One of the difficulties of conducting dynamic inflation experiments with hyperelastic membranes is the ability to measure the deformation during inflation, as it requires recording displacement data for enough points and with sufficient sampling rates to capture the entire motion of the membrane.…”

Electric field-induced surface transformations and experimental dynamic characteristics of dielectric elastomer membranes

“…Young et al (2005), for example, excite rectangular and cylindrical Kapton membrane's by means of a shaker, and the resulting vibrations and mode shapes are captured using a scanning laser vibrometer. One of the difficulties of conducting dynamic inflation experiments with hyperelastic membranes is the ability to measure the deformation during inflation, as it requires recording displacement data for enough points and with sufficient sampling rates to capture the entire motion of the membrane.…”

Nonlinear vibration analysis of piezo-actuated flat thin membrane

“…Membrane theory, fully accounts for geometric non-linearities and hence, non-linear static analysis is being followed by linear model analysis for the rectangular FE membrane model using the prestress along each edge. However, Young et al (2005) showed that vibration modes localized along four edges dominate the dynamics of the rectangular membrane under different tension loads at four corners. The piezo patches (0.02 Â 0.02 Â 0.1e À 2 m 3 ) are attached at the center.…”