On the resonance frequencies of a membrane of a dielectric elastomer

Chakravarty, Uttam K.

doi:10.1016/j.mechrescom.2013.10.006

Cited by 21 publications

(13 citation statements)

References 19 publications

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“…The multiple resonant peaks and out-of-plane vibration modes were consistent with experimental data (Fox and Goulbourne, 2008;. Chakravarty (2014) investigated the resonant frequencies of a pre-stretched circular DE membrane in air and in a vacuum. The Mooney-Rivlin hyper-elastic material model was adopted.…”

Section: Tubular De Structuresupporting

confidence: 81%

Typical dielectric elastomer structures: dynamics and application in structural vibration control

Huang

Jin

Ruan

et al. 2016

J. Zhejiang Univ. Sci. A

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Abstract:In recent years, dielectric elastomer (DE) structures have received great attention in various fields of engineering, such as artificial muscle, soft robot, resonator, and structural vibration control, due to its prominent advantages. In the present paper, the theoretical and experimental research into the dynamical behavior of DE structures and their application for vibration control is reviewed. In the theoretical research into dynamical behavior, from a mechanics viewpoint, DE structures are usually categorized into four types, i.e., spherical, rectangular, tubular, and circular. For each type of DE structure, the mathematical description is given and the dynamical behavior, such as the resonant property, jump, and bifurcation, is summarized. Moreover, the work on dynamical experiments is briefly outlined. In the application for vibration control, stack-type and tubular-type DE structures usually used as actuators are surveyed. The established control algorithms for the controlled systems using DE actuators are described. The challenges for the research into the dynamics of DE structure and its application for vibration control and some promising theories which may be applied for the research are pointed out.

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Section: Tubular De Structuresupporting

confidence: 81%

Typical dielectric elastomer structures: dynamics and application in structural vibration control

Huang

Jin

Ruan

et al. 2016

J. Zhejiang Univ. Sci. A

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“…It is concluded that a change in the prestress or the voltage tunes the natural frequency of the system . The resonance frequencies increase with increasing mode and thickness of the membrane, and decrease with the increasing voltage and the mass of the electrodes …”

Section: Introductionmentioning

confidence: 95%

Cauchy stresses and vibration frequencies for the instability parameters of dielectric elastomer actuators

Kim

Liu

Leng

2018

J of Applied Polymer Sci

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An analysis of the effect of Cauchy stresses, vibration frequency response, and instability on the transient dynamic response of step-voltage-driven dielectric elastomer actuators (DEAs) is presented in this paper. Material nonlinearities associated with the hyperelastic constitutive law are taken into account, and the membrane is assumed to be made of an isotropic, homogeneous, and incompressible material. The results for the neo-Hookean material model are further extended to analyze relatively complex multiparameter hyperelastic models (Mooney-Rivlin and Ogden) that are often employed for investigating the behavior of DEAs. The dynamic instability parameters are predicted using energy-based extraction of static instability and validated by the response of the material in the vicinity of the dynamic instability. The natural modes of the membrane are used to approximate the nonlinear deformation field using the Galerkin method. A detailed parametric analysis of the equations of motion for the prestretched membrane shows the natural frequencies and mode shapes of the membrane and the strong influence of the stretching ratios and material parameters on the linear and nonlinear oscillations of the membrane. The results of the present investigation show the electric field-frequency relations, resonance curves, and bifurcation diagrams using the nonlinear dynamics of DEAs subjected to electrical loads.Recently, several researchers have investigated the nonlinear dynamic response of DEAs subjected to a combined DC and AC voltage, on the effect of the dynamic parameters of V C 2018 Wiley Periodicals, Inc.

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“…Experimental modal analysis (EMA) was performed by Chakravarty and Albertani (2011) on a pre-stretched latex membrane to investigate the effects of added mass and damping on modal characteristics. Hyper-elastic membranes further model the dynamic response of dielectric elastomers (Chakravarty 2014;Mockensturm and Goulbourne 2004). Gonçalves et al (2009) analysed the vibrations of a pre-stretched circular hyper-elastic membrane, both analytically and numerically.…”

Section: Introductionmentioning

confidence: 99%

Non-contact experimental methods to characterise the response of a hyper-elastic membrane

Kamper

Bekker

2017

Int J Mech Mater Eng

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Background: Membranes often feature in dynamic structures. The design of such structures generally includes the evaluation of their dynamic characteristics, such as natural frequecies and mode shapes. Methods: The quasi-statics ad dyamic responses of thin rubber sheeting were investigated through non-contact experimental techniques. The rubber sheeting was modelled as a membrane structure and the material was assumed to be hyper-elastic, isotopic and incompressible. Two hyper-elastic material models were considered, namely the Mooney-Rivlin model and the Neo-Hookean model. The natural frequencies and mode shapes of the hyprt-elastic membrane were anatically and numerically calculated by assuming small linear vibrations and an equi-bi-axial stress state in the membrane. To validate the mathematical analyses, experimental modal analysis was performed where the vibration response was measured with a laser Doppler vibrometer. Results and conclusions:The analytical model, shows that the natural frequencies of the membrane depend on the initial stretch. Mathematical and experimental results agree well at the lower modes. However, measurement resolution is found to be a vital factor which limits the extraction of closely spaced modes due to difficulties with the accurate identification of nodal line in a purely experimental approach.

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On the resonance frequencies of a membrane of a dielectric elastomer

Cited by 21 publications

References 19 publications

Typical dielectric elastomer structures: dynamics and application in structural vibration control

Typical dielectric elastomer structures: dynamics and application in structural vibration control

Cauchy stresses and vibration frequencies for the instability parameters of dielectric elastomer actuators

Non-contact experimental methods to characterise the response of a hyper-elastic membrane

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