Stability of an anisotropic dielectric elastomer plate

Zeng, Chuan; Gao, Xiaosheng

doi:10.1016/j.ijnonlinmec.2020.103510

Cited by 12 publications

(2 citation statements)

References 32 publications

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“…Dielectric elastomer (DE) is a typical viscoelastic material, and viscoelastic relaxation and creep have a great influence on its electromechanical properties, making the deformation highly frequency-dependent [15][16][17][18][19]. Consequently, understanding the influence of viscoelasticity on the dynamic behavior of DEAs is crucial for the design of these soft robots [20][21][22][23][24][25]. Although some studies have involved the viscoelasticity effect on dynamical behavior of DEMES [26][27][28][29][30][31][32][33][34][35][36][37][38], a comprehensive modeling research that considering ambient factors to understand the actuation mechanism is still lacking and necessary.…”

Section: Introductionmentioning

confidence: 99%

Research on the Effect of Pre-stretch on the Dynamic Performance of Dielectric Elastomer Minimum Energy Structure

Wang,

Xu,

Zhou

et al. 2024

Preprint

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Dielectric Elastomer Minimum Energy Structures (DEMES) have the ability of actively adjusting their shape to accommodate complex scenarios, which has rendered them a focus of research in the field of soft robotics. Understanding the actuation mechanism of DEMES is essential for their effective design and control. In this paper, a systematic and comprehensive modelling framework with integrated consideration of environmental factors, pre-stretch and viscoelasticity is established. The dynamic governing equations of DEMES affected by pre-stretch and temperature are constructed by combining the viscoelastic rheological model and the Euler-Lagrange equation. The effects of the coupled pre-stretch and temperature on the equilibrium state of DEMES and the evolution law of electromechanical response to voltage excitation are analyzed. The results show that pre-stretch and temperature can modulate the bending angle of DEMES and the non-elastic stretch of DE. By analyzing the tendency of DEMES electromechanical performance with the variations of pre-stretch and temperature, it can be concluded that the suitable parameters can significantly improve the dynamic performance as well as the stability of DEMES. This can provide theoretical guidance for the design and deformation control of DEMES.

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Section: Introductionmentioning

confidence: 99%

Research on the Effect of Pre-stretch on the Dynamic Performance of Dielectric Elastomer Minimum Energy Structure

Wang,

Xu,

Zhou

et al. 2024

Preprint

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“…Hyperelastic materials are structural materials of many electromechanical systems such as actuators, sensors, and energy harvesters. More specifically, hyperelastic materials have been widely used for electro-active-based systems [ 22 , 23 , 24 , 25 ]. Up to now, hyperelastic materials have been designed in different geometries, e.g., beams [ 26 , 27 , 28 , 29 ], plates [ 30 , 31 ], and shells [ 32 , 33 ].…”

Section: Introductionmentioning

confidence: 99%

Hyperelastic Microcantilever AFM: Efficient Detection Mechanism Based on Principal Parametric Resonance

et al. 2022

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The impetus of writing this paper is to propose an efficient detection mechanism to scan the surface profile of a micro-sample using cantilever-based atomic force microscopy (AFM), operating in non-contact mode. In order to implement this scheme, the principal parametric resonance characteristics of the resonator are employed, benefiting from the bifurcation-based sensing mechanism. It is assumed that the microcantilever is made from a hyperelastic material, providing large deformation under small excitation amplitude. A nonlinear strain energy function is proposed to capture the elastic energy stored in the flexible component of the device. The tip–sample interaction is modeled based on the van der Waals non-contact force. The nonlinear equation governing the AFM’s dynamics is established using the extended Hamilton’s principle, obeying the Euler–Bernoulli beam theory. As a result, the vibration behavior of the system is introduced by a nonlinear equation having a time-dependent boundary condition. To capture the steady-state numerical response of the system, a developed Galerkin method is utilized to discretize the partial differential equation to a set of nonlinear ordinary differential equations (ODE) that are solved by the combination of shooting and arc-length continuation method. The output reveals that while the resonator is set to be operating near twice the fundamental natural frequency, the response amplitude undergoes a significant drop to the trivial stable branch as the sample’s profile experiences depression in the order of the picometer. According to the performed sensitivity analysis, the proposed working principle based on principal parametric resonance is recommended to design AFMs with ultra-high detection resolution for surface profile scanning.

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Nonlinear Dynamics of a Hyperelastic Cylindrical Shell Composed of the Incompressible Rivlin-Saunders Material

Zhang

Zhao

Niu

2022

NODYCON Conference Proceedings Series

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Stability of an anisotropic dielectric elastomer plate

Cited by 12 publications

References 32 publications

Research on the Effect of Pre-stretch on the Dynamic Performance of Dielectric Elastomer Minimum Energy Structure

Research on the Effect of Pre-stretch on the Dynamic Performance of Dielectric Elastomer Minimum Energy Structure

Hyperelastic Microcantilever AFM: Efficient Detection Mechanism Based on Principal Parametric Resonance

Nonlinear Dynamics of a Hyperelastic Cylindrical Shell Composed of the Incompressible Rivlin-Saunders Material

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