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

Fox, J. W.; Goulbourne, Nakhiah C.

doi:10.1016/j.jmps.2009.03.008

Cited by 87 publications

(53 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similar equations of motion have been derived on the 0020-7683/$ -see front matter Ó 2010 Elsevier Ltd. All rights reserved. doi:10.1016/j.ijsolstr.2010.08.008 basis of the Maxwell stress (e.g., Fox and Goulbourne, 2009). Here we derive the equations of motion in an approach such that the equations can be readily modified even if the Maxwell stress is not valid (Suo et al, 2008).…”

Section: Equations Of Motionmentioning

confidence: 99%

“…They tuned the frequency of the AC voltage and recorded the amplitude of the oscillation. For example, when the pressure is 80 Pa, U dc = 0, and U ac = 1.5 kV, the natural frequencies of out-of-plane oscillation are 70 Hz, 130 Hz and 205 Hz, respectively (Fox, 2007;Fox and Goulbourne, 2009). Based on the method described in Section 4, our theoretical results of natural frequencies are 58.7 Hz, 135.1 Hz, 211.9 Hz for the 1st, 3th, and 5th out-ofplane oscillation, and the average error is about 8%.…”

Section: Comparison With Experimental Observationsmentioning

confidence: 99%

See 1 more Smart Citation

Resonant behavior of a membrane of a dielectric elastomer

Zhu

Cai

Suo

2010

International Journal of Solids and Structures

219

133

View full text Add to dashboard Cite

a b s t r a c tThis paper analyzes a membrane of a dielectric elastomer, prestretched and mounted on a rigid circular ring, and then inflated by a combination of pressure and voltage. Equations of motion are derived from a nonlinear field theory, and used to analyze several experimental conditions. When the pressure and voltage are static, the membrane may attain a state of equilibrium, around which the membrane can oscillate. The natural frequencies can be tuned by varying the prestretch, pressure, or voltage. A sinusoidal pressure or voltage may excite superharmonic, harmonic, and subharmonic resonance. Several modes of oscillation predicted by the model have not been reported experimentally, possibly because these modes have small deflections, despite large stretches.

show abstract

Section: Equations Of Motionmentioning

confidence: 99%

Section: Comparison With Experimental Observationsmentioning

confidence: 99%

Resonant behavior of a membrane of a dielectric elastomer

Zhu

Cai

Suo

2010

International Journal of Solids and Structures

219

133

View full text Add to dashboard Cite

show abstract

“…In the parallel field of electroelasticity, Fox and Goulbourne (2008) study the displacement of a circular membrane and its dependence on applied potential difference across the membrane and its frequency, Fox and Goulbourne (2009) and Tews et al (2003) present pressure vs chamber volume characteristics, Keplinger et al (2012) and Li et al (2013) study the snap-through instability in the inflation process. However, none of these studies considered wrinkling or limit point instabilities in membranes.…”

Section: Introductionmentioning

confidence: 99%

Limit points in the free inflation of a magnetoelastic toroidal membrane

Reddy

Saxena

2017

International Journal of Non-Linear Mechanics

View full text Add to dashboard Cite

One common phenomenon native to inflation of membranes is the elastic limit-point instability-a bifurcation point at which the membrane begins to deform enormously at the slightest increase of pressure. In the case of magnetoelastic materials, there is another possible phenomenon which we call magnetic limitpoint instability, a state referring to the non-existence of an equilibrium state -either stable or unstable. In this work, we are concerned with such instabilities in an incompressible isotropic magnetoelastic toroidal membrane with an initial circular cross-section. A non-uniform magnetic field is generated using a circular current carrying loop placed inside the membrane in addition to inflation by a uniform hydrostatic pressure. An energy formulation based on magnetization is used to model the magneto-mechanical coupling along with a Mooney-Rivlin constitutive model for the elastic strain energy density. Computations show that the magnetic field strongly influences the location of elastic limit points and in some cases can cause them to vanish. Multiple equilibrium states are obtained as solutions of the governing equations and a criterion based on second variation is employed to determine their stability. Existence and dependence of magnetic limit point on the magnetic field is demonstrated. While the quantitative results obtained here are specific to the toroidal geometry, the deformation behaviour can be generalised to any magnetoelastic membrane.

show abstract

“…In 2008, J.W. Fox [3][4] studied the dynamic characteristics and dynamic electron load of dielectric elastic membranes. In 2010, Liu Chang-jiang [5] deduced the governing equations of geometric nonlinear free and forced vibration of orthotropic rectangular membrane structures.…”

Section: Introductionmentioning

confidence: 99%

Reliability Analysis on the Rectangular Orthotropic Membrane Under Concentrated Impact Load

Zheng¹,

Xie²,

Dong³

et al. 2018

Proceedings of the 4th Annual International Conference on Material Engineering and Application (ICMEA 2017)

View full text Add to dashboard Cite

Abstract-This paper studies the computational method of the reliability of rectangular orthotropic membrane with four edges fixed under stochastic concentrated impact load. Based on the explicit equations of deflection response obtained in the previous work of our team, the reliability index and failure probability of the architectural membrane under concentrated impact load are obtained via the advanced first-order secondmoment method(AFOSM). In addition, an experiment on stochastic impact load was carried out. Based on the principle of least-squares method, the impact speed is fitted to a Gaussian distribution with specific mathematical characteristics. The data are processed by Monte-Carlo method and the results are compared with the theoretical results calculated by AFOSM. The variation rules and differences of the results obtained by two methods are analyzed. This study provides a theoretical reference for the vibration control of membrane structures and the research on the failure of membrane due to hail and other disasters.

show abstract

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

Cited by 87 publications

References 18 publications

Resonant behavior of a membrane of a dielectric elastomer

Resonant behavior of a membrane of a dielectric elastomer

Limit points in the free inflation of a magnetoelastic toroidal membrane

Reliability Analysis on the Rectangular Orthotropic Membrane Under Concentrated Impact Load

Contact Info

Product

Resources

About