Control-Oriented Modeling and Analysis of Tubular Dielectric Elastomer Actuators Dedicated to Cardiac Assist Devices

Liu, Ning; Martinez, Thomas; Walter, Armando; Civet, Yoan; Perriard, Yves

doi:10.1109/lra.2022.3148981

Cited by 9 publications

(4 citation statements)

References 30 publications

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“…The strong nonlinearity of model ( 22), together with the presence of unmeasurable state variables, makes parameter identification for ( 22) highly challenging from a numerical standpoint. Indeed, nonlinear optimization algorithms are normally used to tackle the DE parameter identification process [23,[26][27][28][29]38]. In the sequel, we present an alternative identification algorithm that solely relies on convex optimization tools, making it particularly attractive and robust from a numerical standpoint.…”

Section: Parameter Identification Algorithmmentioning

confidence: 99%

“…Several approaches have been proposed in the literature to model the complex response of DEs. The quasi-static response of the material is generally described via a continuum mechanics formulation [16][17][18][19][20], whereas lumped parameter dynamic models are normally preferred in control applications [21][22][23][24][25][26][27][28]. The latter, in particular, generally account for material dissipation via viscoelasticity theory, which describes the ratedependent hysteresis by means of a system of linear or nonlinear ordinary differential equations.…”

Section: Introductionmentioning

confidence: 99%

“…When one is solely interested in the quasi-static material response, the identification of DE physical parameters can be effectively converted into a least-squares problem, which is non-iterative and therefore highly efficient from a numerical standpoint [22,24]. In the case of dynamic DE models, which include hysteretic dissipations, the high complexity of the resulting equations, in combination with the presence of unmeasurable state variables, makes it generally necessary to resort to nonlinear optimization approaches [23,[26][27][28][29]38]. However, such methods are usually numerically involved, and might be affected by convergence issues in the case of models characterized by numerous parameters (as is common when describing hysteresis with complex shapes).…”

Section: Introductionmentioning

confidence: 99%

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Energy-based modeling of rate-independent hysteresis and viscoelastic effects in dielectric elastomer actuators

Rizzello

2024

Smart Mater. Struct.

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Dielectric elastomer (DE) transducers are known to exhibit a rate-dependent hysteresis in their force-displacement response, which is commonly attributed to the viscoelastic behavior of the elastomer material as well as the compliant electrodes. In case of DE materials characterized by low mechanical losses, such as silicone, the mechanical hysteresis often turns out to be practically rate-independent in the low frequency range (sub-Hz), while rate-dependent hysteretic effects only become relevant at higher deformation rates. Most of existing literature focuses on describing DE hysteretic losses through viscoelasticity theory. Even though this approach results in relatively simple dynamic models, those are not capable to describe rate-independent hysteretic behaviors. In this work, we propose a control-oriented modeling framework for both rate-dependent and rate-dependent hysteresis occurring in uniaxially-loaded DE actuators. The model combines classic thermodinamically-consistent modeling approaches for DEs with a new energy-based Maxwell-Lion formalization of the hysteretic losses. The resulting dynamic model consists of a set of nonlinear ordinary differential equations, and is capable of simultaneously describing geometry dependencies, large deformation nonlinearities, electro-mechanical coupling, as well as rate-independent and rate-dependent hysteretic effects. To deal with the large number of involved parameters, a new systematic identification algorithm based on quadratic programming is also proposed. After presenting the theory, the model is validated based on experiments conducted on a silicone-based rolled DE actuator, and its superiority compared to classic DE viscoelstic models is quantitatively assessed.

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Section: Parameter Identification Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Energy-based modeling of rate-independent hysteresis and viscoelastic effects in dielectric elastomer actuators

Rizzello

2024

Smart Mater. Struct.

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“…The concept of electromechanical coupling in DE was first proposed by Stark and Garton [8]. Since then, numerous studies have been conducted to explore the behaviors of DE under electromechanical coupling both experimentally and theoretically [9][10][11][12][13]. Due to the potential applications of DE materials, a comprehensive analysis of inertia's impact on their dynamic performance is essential [14,15].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Modeling and Response Analysis of Dielectric Elastomer Incorporating Fractional Viscoelasticity and Gent Function

Li,

Sun

2023

Fractal Fract

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Dielectric Elastomer (DE) has been recognized for its remarkable potential in actuation and sensing applications. However, the functionality of most DE materials is restricted by their high viscoelastic effects. Currently, there is a lack of dynamic models that consider both viscoelasticity and stiffening effects. To address this research gap, we propose a fractional-order model in this study. Specifically, the model comprehensively integrates both viscoelastic and stiffening effects under electromechanical coupling, utilizing the principle of virtual work. Further, the effects of the system parameters are analyzed. The results indicate that the fractional-order derivative influences the hysteresis behaviors during the transient state and affects the duration of the transient process. Furthermore, when the system’s energy surpasses a certain threshold, the steady-state response can transition between two distinct potential wells. Through the manipulation of electromechanical coupling parameters, bifurcation can be induced, and the occurrence of snap-through and snap-back behaviors can be controlled. These findings have significant implications for the design and optimization of DE materials in various applications.

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Energy-based modeling and robust position control of a dielectric elastomer cardiac assist device

Hammoud,

Liu,

Le Gorrec

et al. 2024

IFAC-PapersOnLine

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Control-Oriented Modeling and Analysis of Tubular Dielectric Elastomer Actuators Dedicated to Cardiac Assist Devices

Cited by 9 publications

References 30 publications

Energy-based modeling of rate-independent hysteresis and viscoelastic effects in dielectric elastomer actuators

Energy-based modeling of rate-independent hysteresis and viscoelastic effects in dielectric elastomer actuators

Dynamic Modeling and Response Analysis of Dielectric Elastomer Incorporating Fractional Viscoelasticity and Gent Function

Energy-based modeling and robust position control of a dielectric elastomer cardiac assist device

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