Nonlinear oscillations of electrically driven aniso-visco-hyperelastic dielectric elastomer minimum energy structures

Khurana, Aman; Sharma, Atul Kumar; Joglekar, M. M.

doi:10.1007/s11071-021-06392-5

Cited by 41 publications

(6 citation statements)

References 79 publications

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“…However, the effect of viscoelasticity was neglected in their analysis. Subsequently, Aman Khurana et al [17] extended this approach to study the mechanical behavior of DEs with particle doping, and analyzed the dynamic behavior of DE actuators (DEAs) composed of viscoelastic [16], hyper-viscoelastic [19], and other DE compositions. However, these studies focused only on the theoretical analysis of single-segment DEMES without experimental validation.…”

Section: Introductionmentioning

confidence: 99%

Dynamical behavior of a particle-doped multi-segment dielectric elastomer minimal energy structure

Gong,

Han,

et al. 2023

Smart Mater. Struct.

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The dynamic behavior of dielectric elastomers (DEs) has significant influence on their performance. The present study investigates the nonlinear dynamics of particle-doped multi-segmented DE minimum energy structures (DEMESs). To simulate the multi-segment DEMES, we consider each segment as a combination of hyperelastic film and elastic beam and obtain the ordinary differential equations governing the system dynamics based on the Euler–Lagrange equations. Due to the difficulty in measuring various physical parameters of DEs in practice, we utilize experimental data from a single-segment DE and employ a physics-informed neural network to predict the unknown parameters of the DE and the framework, such as stiffness K bb and doping volume fraction ϕ. Based on these predictions, nonlinear analysis is performed for the multi-segment system. Stability analyses of the motion equations reveal that the system exhibits a supercritical pitchfork bifurcation with hyperelastic thin film pre-stretching as the bifurcation parameter. For the three-segment DEMES, there are eight stable modes, but only four are illustrated in the bifurcation diagram due to the identical parameter settings for each segment. The amplitude-frequency curves under different AC voltage loads indicate the presence of harmonic, superharmonic, and subharmonic resonances in the system, with varying frequencies and magnitudes depending on the applied load. The Poincaré maps of the time response demonstrate that the system response is predominantly quasiperiodic. Under low voltage loads, the system exhibits periodic oscillations, while under certain high voltage loads, chaotic behavior emerges, characterized by strong nonlinearity in the time-dependent curves and non-periodicity in the Poincaré maps. This study provides insights into the present mathematical model in the motion control of DEMES.

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Section: Introductionmentioning

confidence: 99%

Dynamical behavior of a particle-doped multi-segment dielectric elastomer minimal energy structure

Gong,

Han,

et al. 2023

Smart Mater. Struct.

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“…Soft active materials undergo various morphological changes and large deformations under externally applied mechanical [ 1 , 2 ], heat [ 3 ], light [ 4 ], magnetic [ 5 , 6 ], electric [ 7 , 8 , 9 , 10 ], humidity [ 11 ] and/or solvent [ 12 ] fields. Some soft active materials include dielectric elastomers [ 13 , 14 ], hydrogels [ 15 , 16 ], liquid crystal elastomers [ 17 , 18 ], magneto-active elastomers [ 19 , 20 , 21 , 22 , 23 ], etc.…”

Section: Introductionmentioning

confidence: 99%

Alleviation of Residual Vibrations in Hard-Magnetic Soft Actuators Using a Command-Shaping Scheme

et al. 2022

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Hard-magnetic soft materials belong to a class of the highly deformable magneto-active elastomer family of smart materials and provide a promising technology for flexible electronics, soft robots, and functional metamaterials. When hard-magnetic soft actuators are driven by a multiple-step input signal (Heaviside magnetic field signal), the residual oscillations exhibited by the actuator about equilibrium positions may limit their performance and accuracy in practical applications. This work aims at developing a command-shaping scheme for alleviating residual vibrations in a magnetically driven planar hard-magnetic soft actuator. The control scheme is based on the balance of magnetic and elastic forces at a critical point in an oscillation cycle. The equation governing the dynamics of the actuator is devised using the Euler–Lagrange equation. The constitutive behaviour of the hard-magnetic soft material is modeled using the Gent model of hyperelasticity, which accounts for the strain-stiffening effects. The dynamic response of the actuator under a step input signal is obtained by numerically solving the devised dynamic governing equation using MATLAB ODE solver. To demonstrate the applicability of the developed command-shaping scheme, a thorough investigation showing the effect of various parameters such as material damping, the sequence of desired equilibrium positions, and polymer chain extensibility on the performance of the proposed scheme is performed. The designed control scheme is found to be effective in controlling the motion of the hard-magnetic soft actuator at any desired equilibrium position. The present study can find its potential application in the design and development of an open-loop controller for hard-magnetic soft actuators.

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“…Zhang et al [22] designed a vibroimpact generator with DE membranes to harvest energy from a rotational motion; the system can produce a maximal output power as high as 0.88 mW from rotational excitations. For the DE-based minimum energy actuator with an elementary rectangular geometry, Khurana et al [23] proposed a rheological model to analyze equilibrium states, periodic responses as well as resonant behaviors. Those membrane structures are relatively simple to model, but there are some limitations on practical applications.…”

Section: Introductionmentioning

confidence: 99%

Modeling and nonlinear dynamics of a dielectric elastomer soft sandwich cantilever plate

Yuan

Wang

2022

Preprint

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Inspired from the bimorph actuator which is an efficient design to flap and propel swimming vehicles, a soft actuator made of two dielectric elastomer layers and a hyperelastic material core is presented. This actuator is also termed as a soft sandwich cantilever rectangular plate, which is stimulated by the alternating voltages with a phase difference. Based on the classical plate theory and the variational method, the governing equation describing the nonlinear vibration of the soft sandwich cantilever plate is formulated. Employing the harmonic balance method and the arc-length continuation method, periodic solutions are obtained, then the convergence analyses of the numbers of discrete modes and harmonics are conducted. In order to illustrate the frequency features more clearly, a modified mode numbering scheme is developed. The numerical results manifest that, there are abundant nonlinear behaviors among mode responses of the soft sandwich cantilever plate driven by the combined voltage excitation, including the local peak and the isolated bubble aroused by the nonlinear coupling. Additionally, the fundamental mode response keeps dominating the dynamic behaviors of the soft plate. The nonlinear dynamics broaden the resonant domain significantly, which can be potentially applied to the design and manufacture of high-performance soft actuators through the vibration enhancement strategy.

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Nonlinear oscillations of electrically driven aniso-visco-hyperelastic dielectric elastomer minimum energy structures

Cited by 41 publications

References 79 publications

Dynamical behavior of a particle-doped multi-segment dielectric elastomer minimal energy structure

Dynamical behavior of a particle-doped multi-segment dielectric elastomer minimal energy structure

Alleviation of Residual Vibrations in Hard-Magnetic Soft Actuators Using a Command-Shaping Scheme

Modeling and nonlinear dynamics of a dielectric elastomer soft sandwich cantilever plate

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