A study on performance of distributed piezoelectric composite actuators using Galerkin method

Ma, Xiang; Wang, Zhiyong; Zhou, Bo; Xue, Shifeng

doi:10.1088/1361-665x/ab3f3d

Cited by 10 publications

(9 citation statements)

References 41 publications

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“…where m and n are the half waves number of buckling in the x and y directions, respectively. Equation ( 21) is substituted into equation (19) as…”

Section: Static Methods Of Plcpmentioning

confidence: 99%

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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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“…where m and n are the half waves number of buckling in the x and y directions, respectively. Equation ( 21) is substituted into equation (19) as…”

Section: Static Methods Of Plcpmentioning

confidence: 99%

“…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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“…The piezoelectric constitutive equations reflect the coupling between the elastic and dielectric properties of the 3DBPC. The piezoelectric constitutive equations of the 3DBPC can be expressed as (Deraemaeker et al, 2009; Ma et al, 2019a)…”

Section: Piezoelectric Constitutive Equationsmentioning

confidence: 99%

Least-squares method for laminated beams with distributed braided piezoelectric composite actuators

Zhou

Wang

et al. 2020

Journal of Intelligent Material Systems and Structures

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Piezoelectric ceramics are a very popular material in the field of actuator technology due to their unique piezoelectric properties. However, the brittle behavior of ceramics endangers the reliability of piezoelectric actuators. In this article, the three-dimensional braided piezoelectric composite is utilized to ameliorate the reliability and driving capability of piezoelectric actuators. The static analysis of laminated beam with the distributed braided piezoelectric composite actuator is presented to study its driving capability. Based on the piezoelectric constitutive equations and Euler–Bernoulli beam theory, the governing equation of the piezoelectric laminated beam is derived. The least-squares method for the piezoelectric laminated beam is established to solve the derived governing equation. The current approach is validated by comparison with published results and finite element results. In the numerical examples, the effects of the number and spacing of the three-dimensional braided piezoelectric composite patches, actuator central location, actuator length, actuator thickness ratio, cantilever beam thickness, applied voltage and fiber volume fraction on the driving capability of the distributed braided piezoelectric composite actuator are investigated. This study suggests the potential use of the distributed braided piezoelectric composite actuator in intelligent structures and provides useful guidance for the design and optimization of piezoelectric actuators.

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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 study on performance of distributed piezoelectric composite actuators using Galerkin method

Cited by 10 publications

References 41 publications

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

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

Least-squares method for laminated beams with distributed braided piezoelectric composite actuators

Cosserat modeling for deformation configuration of shape memory alloy unimorph actuators

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