A Hermite interpolation element-free Galerkin method for piezoelectric materials

Ma, Xiang; Zhou, Bo; Xue, Shifeng

doi:10.1177/1045389x211072243

Cited by 5 publications

(6 citation statements)

References 53 publications

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“…To analyze the performance of the FGPBF, a numerical model for the FGPBF is established by the Hermite element-free method proposed by the authors [34,35]. Considering the symmetrical distribution of two piezoelectric patches, the neutral surface of the FGPBF is the geometric middle plane of the metal substrate.…”

Section: Element-free Model Of Fgpbfmentioning

confidence: 99%

Numerical analysis of functionally graded piezoelectric bionic fishtail based on Hermite element-free method

Ma,

Zhou,

et al. 2024

Funct. Compos. Struct.

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Piezoelectric bionic fishtails have good flexibility, response speed, anti-interference ability, and have great application prospects in ocean exploration. However, the inherent drawbacks of the mechanical properties of traditional homogeneous piezoelectric materials significantly affect the propulsion performance and reliability of the piezoelectric bionic fishtails. To fill this gap, this paper develops a functionally graded piezoelectric bionic fishtail (FGPBF) by imitating the tail characteristics of groupers. The geometric structure and working principle of the FGPBF are introduced in detail. Based on the first-order shear deformation theory and Hermite element-free method, an element-free model for the FGPBF is established. The effects of gradient factor, substrate material, substrate thickness and electrical load on the propulsion performance of the FGPBF are addressed. The results show that the current results are in good agreement with the finite element results. The deformation of the FGPBF is negatively correlated with the thickness and stiffness of the substrate and linearly positively correlated with the electrical load. As the gradient factor increases, the deflection of the FGPBF first increases and then decreases. When the gradient factor is 2, the potential is 200 V, the dimensionless aluminum substrate thickness is 1, the propulsion performance of the FGPBF is improved by 28% compared to the homogeneous piezoelectric bionic fishtail.

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Section: Element-free Model Of Fgpbfmentioning

confidence: 99%

Numerical analysis of functionally graded piezoelectric bionic fishtail based on Hermite element-free method

Ma,

Zhou,

et al. 2024

Funct. Compos. Struct.

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“…Barati et al [17] conducted examination of buckling behavior of functionally graded piezoelectric plates with porosities employing a refined four-variable plate theory. Ma et al [18][19][20] studied the structure and performance of piezoelectric actuators by using advanced numerical methods.…”

Section: Introductionmentioning

confidence: 99%

The buckling performance of a piezoelectric laminated composite plate via static method

Mao,

Liu,

Zhou

et al. 2023

Funct. Compos. Struct.

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Piezoelectric materials are widely used as actuators, due to the advantages of quick response, high sensitivity and linear strain-electric field relationship. The previous work on the piezoelectric material plate structures are not enough, however such structures play a very important role in the practical design. In this paper, the buckling performance of piezoelectric laminated composite plate (PLCP) is analyzed based on static method to parametric study the buckling control. The stress components of the matrix layer are formulated based on electro-mechanical coupling theory and Kirchhoff’s classical laminated plate theory. Buckling differential governing equation of PLCP is obtained by using the equilibrium conditions. The solution of the governing equation is assumed as a sum of a series of trigonometric shape functions, and then its expression is obtained by using static method. The effectiveness of the developed method is validated by the comparison with finite element method. Especially, the developed method can be used for engineering applications more easily, and it does not require to rebuild the calculation model as finite element method during the calculation and analysis of PLCP. The buckling performance of PLCP and its influencing factors are numerically analyzed through the developed method. The buckling performance of PLCP is reasonably increased by parametric studying different loads, laying angle, laying sequence, height of the matrix plate, and layer size. This paper is a valuable reference for the design and analysis of PLCP.

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“…Finite element techniques and numerical approaches have also been used to model and optimize the deformation profile of SMA bending actuators (Crews and Buckner, 2012; Machairas et al, 2019; Simone et al, 2019; Wang and Shahinpoor, 1997). Additionally, the Galerkin method has been applied to novel piezoelectric composite actuators to characterize their performance (Ma et al, 2019, 2022; Zhou et al, 2020a, 2020b).…”

Section: Introductionmentioning

confidence: 99%

Cosserat modeling for deformation configuration of shape memory alloy unimorph actuators

Kennedy

Vlajic

Perkins

2022

Journal of Intelligent Material Systems and Structures

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Shape memory alloys (SMAs) can contract their length via a crystalline phase transition that is dependent upon their temperature and stress state. SMAs have been used as linear micro-actuators due to their high strength to weight ratio and compact structure. However, the relatively low linear contraction ([Formula: see text]4%–5% in length) limits their use. To remedy this, the SMA can be offset from a passive structure, which acts to magnify the deformation. The resulting amount of deformation depends upon the material properties and geometry of both the SMA and the passive structure. In this work, geometrically exact beam theory (also known as Cosserat theory) is coupled with SMA constitutive relations to model the maximum deformation configuration of these actuators. Four of these actuators of various lengths were fabricated and tested to verify the model. For the four actuators tested, the mean squared error between the experimental results and the Cosserat model were between 0.0702 mm (0.1% error) for the shortest actuator (66 mm in length) and 3.59 mm (2.7% error) for the longest actuator (135 mm in length). These results show that the closed form solution derived for this Cosserat beam model can accurately model the deformation of these active structures.

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A Hermite interpolation element-free Galerkin method for piezoelectric materials

Cited by 5 publications

References 53 publications

Numerical analysis of functionally graded piezoelectric bionic fishtail based on Hermite element-free method

Numerical analysis of functionally graded piezoelectric bionic fishtail based on Hermite element-free method

The buckling performance of a piezoelectric laminated composite plate via static method

Cosserat modeling for deformation configuration of shape memory alloy unimorph actuators

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