Meshfree finite volume method for active vibration control of temperature-dependent piezoelectric laminated composite plates

Momeni, M.; Fallah, N.

doi:10.1016/j.enganabound.2021.06.002

Cited by 13 publications

(6 citation statements)

References 46 publications

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“…Additionally, the temperature-dependent mechanical constants for the piezoelectric layers have been stated in reference (Momeni and Fallah, 2021) as follows:…”

Section: Development Of the Governing Equationsmentioning

confidence: 99%

“…One of the most effective methods available to eliminate vibrations is the use of piezoelectric materials, which have been widely used due to their versatility, high capability to reduce vibrations, low weight, easy conversion between electrical and mechanical energy, availability in desired shapes and configurations, easy installation on structures, etc. (Ma et al, 2022; Momeni and Fallah, 2021; Qiao et al, 2022; Shivashankar and Gopalakrishnan, 2020). Numerous studies have thus far been carried out on various aspects of piezoelectrics (Alnuaimi et al, 2021; Berardengo et al, 2021; Dehnad et al, 2022; Li et al, 2021; Liu et al, 2021; Muthalif and Wahid, 2021; Sharma et al, 2022; Yang et al, 2022).…”

Section: Introductionmentioning

confidence: 99%

“…Recently, significant improvements have materialized in numerical techniques to address various engineering problems. Among the most popular of these methods are the finite element (FE), the finite difference (FD), and the finite volume (FV), each of which has specific advantages and applications (Amraei and Fallah, 2018; Momeni and Fallah, 2021; Pathak et al, 2022; Rekatsinas et al, 2021; Sharma et al, 2021; Zuo et al, 2022). Nevertheless, the FE approach suffers heavily from mesh distortion in large deformation, and intensive remeshing is required in dealing with structures with complex geometries (He, 2022; Rabczuk et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

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Probabilistic reliability analysis for active vibration control of piezoelectric laminated composite plates using mesh-free finite volume method

Badeleh

Fallah

2022

Journal of Intelligent Material Systems and Structures

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The implementation of deterministic design approaches in the presence of uncertainty is an adequate design task. Probabilistic methods are then used in structural design procedures, offering structural safety predictions. In this study, reliability-based analysis of a piezoelectric laminated composite plate subjected to the mechanical loads was investigated, accounting for the epistemic source of uncertainty. Material properties of the plate were considered temperature-dependent. The sophisticated mesh-free finite volume approach was employed to actively control the vibration of the temperature-dependent piezoelectric laminated composite plate through the first-order shear deformation principles. The induced vibration was treated as a non-stationary random process, and the generalized failure index was estimated using the first-passage probability concept by adopting the novel asymptotic sampling technique. The veracity of the suggested model was corroborated by alternate approaches in the literature, comprising the finite element approach. Furthermore, the temperature-dependent piezoelectric laminated composite plate with different ply orientations was considered to assess the safety index variation against changes in the ambient temperature and the laminate stacking orientation. The obtained results revealed that with increasing temperature, the reliability of the composite plate reduced. It was also realized that the reliability index is directly correlated with the piezoelectric voltage.

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“…Additionally, the temperature-dependent mechanical constants for the piezoelectric layers have been stated in reference (Momeni and Fallah, 2021) as follows:…”

Section: Development Of the Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Probabilistic reliability analysis for active vibration control of piezoelectric laminated composite plates using mesh-free finite volume method

Badeleh

Fallah

2022

Journal of Intelligent Material Systems and Structures

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“…A formulation of three-dimensional finite element models is proposed to simulate the dynamics of piezoelectric sandwich structures with geometric nonlinearities [ 17 ]. Momeni and Fallah [ 18 ] proposed a sophisticated mesh free finite volume approach to study the active vibration control of temperature-dependent piezoelectric sandwich composite plates. In addition, some analytical and semi-analytical methods are used for the dynamic analysis of piezoelectric laminated plates.…”

Section: Introductionmentioning

confidence: 99%

Active Vibration Control of Piezoelectric Sandwich Plates

et al. 2022

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This paper deals with the active vibration control of piezoelectric sandwich plate. The structure consists of a substrate plate layer sandwiched between two layers of piezoelectric sensor and actuator. Based on laminate theory and constitutive equation of piezoelectric material, the vibration active control dynamic equation of the sandwich structure is established by using hypothetical mode method and Hamilton principle. The Rayleigh-Ritz method is used to solve it. The form of hypothetical solution is used for approximate solution, which is simple and accurate. The method of this paper is verified by several examples. The parametric studies of the sandwich plate structures are carried out. The results show that applying different boundary conditions and piezoelectric patch positions to the structures have a great influence on the natural frequency. When the driving voltage increases, the deflection of the plate structures increase approximately linearly. The active vibration control studies are investigated as well. The results show that within a certain range, the larger the value of the speed feedback coefficient, the better the active control effect. The positions of the piezoelectric patches affect the effectiveness and cost of active control. When the piezoelectric plate is located at the fixed end, the effect and cost of active control are better than that at the midpoint and free end of the plate.

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“…Lu et al (2022) established the governing equations of motion for the functionally graded carbon nanotube-reinforced piezoelectric laminated composite cantilever plate, and they obtained a two-degree-offreedom ordinary differential control equation with Galerkin method. Momeni and Fallah (2021) proposed a meshfree finite volume approach to actively control the vibration of temperature-dependent piezoelectric laminated composite plates, and they obtained the approximation field variables with the moving least square shape functions. Gughari et al (2022) obtained the governing equations of the Sandwich plate under uniform in-plane mechanical loading by taking the Mindlin plate theory and Von Karman assumptions into account.…”

Section: Introductionmentioning

confidence: 99%

The actuation performance of a piezoelectric laminated plate actuator via Galerkin method

Mao

Zhou

Xue

2022

MMMS

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PurposePiezoelectric 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 is not enough; however, such structures play a very important role in the practical design. In this paper, the actuation performance of piezoelectric laminated plate actuator (PLPA) is analyzed based on Galerkin method to parametric study the shape control.Design/methodology/approachIn this paper, the actuation performance of PLPA is analyzed based on Galerkin method to parametric study the shape control. The stress components of the matrix plate are formulated based on electro-mechanical coupling theory and Kirchhoff's classical laminated plate theory. The effectiveness of the developed method is validated by the comparison with finite element method.FindingsThe actuation performance of PLPA and its influencing factors are numerically analyzed through the developed method. The deflection of PLPA is reasonably increased by optimizing the electric fields, the piezoelectric patch and the matrix plate.Originality/valueThe Galerkin 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 PLPA. This paper is a valuable reference for the design and analysis of PLPAs.

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Meshfree finite volume method for active vibration control of temperature-dependent piezoelectric laminated composite plates

Cited by 13 publications

References 46 publications

Probabilistic reliability analysis for active vibration control of piezoelectric laminated composite plates using mesh-free finite volume method

Probabilistic reliability analysis for active vibration control of piezoelectric laminated composite plates using mesh-free finite volume method

Active Vibration Control of Piezoelectric Sandwich Plates

The actuation performance of a piezoelectric laminated plate actuator via Galerkin method

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