Electromechanical modelling of a bistable plate with Macro Fiber Composites under nonlinear vibrations

Lee, Andrew J.; Inman, Daniel J.

doi:10.1016/j.jsv.2019.01.045

Cited by 58 publications

(15 citation statements)

References 32 publications

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“…MFCs have also been utilized to combine with bistable laminates for broadband energy harvesting due to their ease of manufacture, reliability, and relatively high piezoelectricity. [144][145][146] For instance, Lee and Inman analyzed the nonlinear behaviors of a rectangular bistable laminate paired with MFC films for energy harvesting. [145] In their study, elastic potential energy characteristics and snap-through behaviors of the bistable plate under harmonic excitations were investigated.…”

Section: Energy Harvesters Based On Thermally Driven Bistable Structuresmentioning

confidence: 99%

“…[144][145][146] For instance, Lee and Inman analyzed the nonlinear behaviors of a rectangular bistable laminate paired with MFC films for energy harvesting. [145] In their study, elastic potential energy characteristics and snap-through behaviors of the bistable plate under harmonic excitations were investigated. [144] In another study, Betts et al considered a bistable composite with attached piezoelectric patches to harvest energy from ambient vibrations.…”

Section: Energy Harvesters Based On Thermally Driven Bistable Structuresmentioning

confidence: 99%

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Bistable Structures for Advanced Functional Systems

Cao

Derakhshani

Fang

et al. 2021

Adv Funct Materials

140

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Bistable mechanical systems having two local minima of potential energy can rest in either of the two stable equilibrium states in the absence of external loadings. A snap-through action may occur under suitable stimuli and/or loading, during which such systems exhibit distinct properties from linear structures. Such kinds of structures have been widely exploited for designing advanced functional systems for a variety of applications. Here, the advances of bistable structures are summarized for novel advanced functional systems, including actuators, energy harvesters, microelectromechanical systems (MEMS), robotics, energy absorbers, and programmable devices as well as metamaterials. The controllable snap-through motions are highlighted in the nonlinear structures of bistability/multistability. Finally, the major principles, structures, pros and cons, and the future research directions along with its challenges are discussed.

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Section: Energy Harvesters Based On Thermally Driven Bistable Structuresmentioning

confidence: 99%

Section: Energy Harvesters Based On Thermally Driven Bistable Structuresmentioning

confidence: 99%

Bistable Structures for Advanced Functional Systems

Cao

Derakhshani

Fang

et al. 2021

Adv Funct Materials

140

View full text Add to dashboard Cite

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“…They found that the desired shell varies from the single-well periodic to single-well chaotic vibrations through the period-doubling bifurcation because of the growth of the amplitudes for the centre base excitations. Andrew and Inman [37] developed a model to study the nonlinear vibration response of a bistable laminate combined with a central macro fibre composite and studied the full range of nonlinear behaviors such as chaotic, limit cycle, and subharmonic oscillations. Brunetti et al [38] investigated, experimentally and theoretically, the nonlinear dynamic response of a cantilever bistable shell.…”

Section: Introductionmentioning

confidence: 99%

Developing Equations for Free Vibration Parameters of Bistable Composite Plates Using Multi-Objective Genetic Programming

et al. 2022

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For the last three decades, bistable composite laminates have gained publicity because of their outstanding features, including having two stable shapes and the ability to change these states. A common challenge regarding the analysis of these structures is the high computational cost of existing analytical methods to estimate their natural frequencies. In the current paper, a new methodology combining the Finite Element Method (FEM) and Multi-Objective Genetic Programming (MOGP) is proposed for the analysis of bistable composite structures, leading to some analytical relations derived to obtain the modal parameters of the shells. To achieve this aim, the data extracted from FEM, consisting of the ratio of the length to width (a/b) and the thickness (t) of the laminate, is split into Train and Validation, and Test, subsets. The former is used in MOGP, and four formulas are proposed for the prediction of the free vibration parameters of bistable laminates. The formulas are checked against the Test subset, and the statistical indices are calculated. An excellent performance is observed for all GP formulas, which indicates the reliability and accuracy of the predictions of these models. Parametric studies and sensitivity analyses are conducted to interpret the trend of input parameters in the GP models and the level of sensitivity of each natural frequency formula to the input parameters. These explicit mathematical expressions can be extended to the other bistable laminates to obtain their natural frequencies on the basis of their geometrical dimensions. The results are validated against the experimental data and verified against FEM outcomes.

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“…Static, buckling and dynamic analyses of laminated composite plates with MFC actuators have been extensively investigated [8][9][10][11][12][13][50][51][52][53][54]. In addition, piezoelectric materials were used in the smart structures for shape, vibration and buckling control [7,12,[55][56][57].…”

Section: Introductionmentioning

confidence: 99%

An Alternative Electro-Mechanical Finite Formulation for Functionally Graded Graphene-Reinforced Composite Beams with Macro-Fiber Composite Actuator

Fu¹,

Tang²,

Jin

et al. 2021

Materials

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With its extraordinary physical properties, graphene is regarded as one of the most attractive reinforcements to enhance the mechanical characteristics of composite materials. However, the existing models in the literature might meet severe challenges in the interlaminar-stress prediction of thick, functionally graded, graphene-reinforced-composite (FG-GRC)-laminated beams that have been integrated with piezoelectric macro-fiber-composite (MFC) actuators under electro-mechanical loadings. If the transverse shear deformations cannot be accurately described, then the mechanical performance of the FG-GRC-laminated beams with MFC actuators will be significantly impacted by the electro-mechanical coupling effect and the sudden change of the material characteristics at the interfaces. Therefore, a new electro-mechanical coupled-beam model with only four independent displacement variables is proposed in this paper. Employing the Hu–Washizu (HW) variational principle, the precision of the transverse shear stresses in regard to the electro-mechanical coupling effect can be improved. Moreover, the second-order derivatives of the in-plane displacement parameters have been removed from the transverse-shear-stress components, which can greatly simplify the finite-element implementation. Thus, based on the proposed electro-mechanical coupled model, a simple C0-type finite-element formulation is developed for the interlaminar shear-stress analysis of thick FG-GRC-laminated beams with MFC actuators. The 3D elasticity solutions and the results obtained from other models are used to assess the performance of the proposed finite-element formulation. Additionally, comprehensive parametric studies are performed on the influences of the graphene volume fraction, distribution pattern, electro-mechanical loading, boundary conditions, lamination scheme and geometrical parameters of the beams on the deformations and stresses of the FG-GRC-laminated beams with MFC actuators.

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Electromechanical modelling of a bistable plate with Macro Fiber Composites under nonlinear vibrations

Cited by 58 publications

References 32 publications

Bistable Structures for Advanced Functional Systems

Bistable Structures for Advanced Functional Systems

Developing Equations for Free Vibration Parameters of Bistable Composite Plates Using Multi-Objective Genetic Programming

An Alternative Electro-Mechanical Finite Formulation for Functionally Graded Graphene-Reinforced Composite Beams with Macro-Fiber Composite Actuator

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