An analytical solution of three-dimensional steady thermodynamic analysis for a piezoelectric laminated plate using refined plate theory

Jiang, Haojie; Liang, Lihua; Ma, Liang; Guo, Jing; Dai, H. L.; Wang, Xiaogui

doi:10.1016/j.compstruct.2016.11.078

Cited by 24 publications

(9 citation statements)

References 49 publications

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“…Laser surface treatment for a fiber laminated plate with coating layer has been investigated using three-dimensional transient thermodynamic analysis [32]. Fiber orientation for a laminated plate has a great influence on the deflection, normal stress and shear stress of the piezoelectric laminated plate [33]. Steady state thermodynamic analysis of double layer using three dimensional heat conduction theory and laminated plate theory has been conducted to find out the parameters that effect the behavior of the double layer [34] The analysis of entropy generation has been proved to be an efficient method to optimize the performance of heat exchange process in heat exchangers [35], slabs with nonuniform internal heat generation [36,37] and fiber laser rod [31].…”

Section: Figure 2 a Schematic Of Heat Transfer Direction In Fiber Lamentioning

confidence: 99%

Thermal analysis of end pumped fiber lasers subjected to jacket fluid cooling

et al. 2021

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End pumped lasers are highly efficient lasers particularly in diode lasers using micro lenses. The common cooling method for end-pumped systems is using water jacket or copper tube surrounding the laser rod. In this paper, the temperature distribution within a water jacket and a fiber laser end pumped by a top hat beam is studied analytically. The temperature distribution is obtained by considering the radial heat convection with fully developed laminar flow neglecting the axial heat conduction. The effect of laser dimensions and the Brinkman number on the temperature distribution are presented. The results indicate that the temperature distribution is strongly dependent on the Brinkman number. The results are presented in dimensionless form so that they can be applied to any end-pumped laser rod and fluid types. The main output of this work is that it is better for cooling purposes to have low Br values.

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Section: Figure 2 a Schematic Of Heat Transfer Direction In Fiber Lamentioning

confidence: 99%

Thermal analysis of end pumped fiber lasers subjected to jacket fluid cooling

et al. 2021

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“…are the unknown mechanical displacement and the electric potential vector for the i th node of the element. Similarly, the mid-plane linear and nonlinear strain vectors in terms of their nodal displacement vector can be written as 32 Substituting equations (15) and (17) in equation (18) and using equation 20the system governing equation can be conceded as…”

Section: System Governing Equationmentioning

confidence: 99%

“…Jiang et al. 18 also developed an analytical solution approach by using refined plate theory to analyse the dynamic responses of the piezoelectric laminated plate. Phung-Van et al.…”

Section: Introductionmentioning

confidence: 99%

“…Similarly, the free and forced vibration responses of the smart layered composite with an acoustic enclosure is provided by Shahraeeni et al 17 using the classical lamination theory (CLT). Jiang et al 18 also developed an analytical solution approach by using refined plate theory to analyse the dynamic responses of the piezoelectric laminated plate. Phung-Van et al 19 obtained the static and dynamic responses of the smart laminated composite structure by developing the mathematical model in the framework of the HSDT using isogeometric analysis (IGA) method.…”

Section: Introductionmentioning

confidence: 99%

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Numerical and experimental nonlinear dynamic response reduction of smart composite curved structure using collocation and non-collocation configuration

Singh

Hirwani

Panda

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this work, a generic geometrical nonlinear mathematical model of smart composite curved shell panels has been developed for the evaluation of the linear and nonlinear dynamic responses. Further, the dynamic deflections are reduced by employing the piezoelectric material with the parent composite using two different arrangements (sensor and actuator). The current layered structure model is developed based on the higher-order mid-plane kinematics including the stretching effect. The electric potential due to the piezoelectric material included via a quadratic function of thickness for the current combined electro-elastic modeling. The geometrical distortion of the smart shell panel structure accounted via Green-Lagrange strain field including all of the nonlinear higher-order terms. The desired responses are evaluated computationally using an original computer code (MATLAB environment) with the help of the current higher-order model and finite element steps. The nonlinear dynamic deflection values are obtained through the direct iterative method in conjunction with Newmark’s integration. Additionally, the accuracy of the proposed model is demonstrated via comparison study with the available published literature with and without electric field potential. The reduction of response frequencies is also compared with the in-house experimental data. Lastly, few more numerical examples are computed for the various geometrical parameter including the shell configuration and the comprehensive behaviour of the currently developed nonlinear numerical model for the analysis of smart layered structure discussed in details.

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“…Zheng et al (2019b) studied an electro-magnetically semi-permeable elliptical crack and obtained the crucial quantities on the crack plane for the nonlinear problems by the aid of the generalized method of potential theory Jiang et al (2017). presented the method of separation of variables is used to deal with the threedimensional temperature field, which can obtain an analytical solution of three-dimensional thermodynamic analysis for a piezoelectric laminated plate.Chen et al (2019) investigated the effect of the thickness radio and curvature on the efficiency of the thermalpiezoelectric micro actuator by presenting a new modeling and analysis approach.…”

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confidence: 99%

Finite element analysis of the three-dimensional crack and defects in piezoelectric materials under the electro-mechanical coupling field

Zhu

Liu

2021

Journal of Intelligent Material Systems and Structures

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This paper presents three-dimensional planar crack and non-planar defects analysis of piezoelectric materials by the finite element method (FEM). Based on practical engineering, a series of reasonable three-dimensional defects models are established. Different from the usual two-dimensional plane as a three-dimensional defect form, the present paper takes into account the different causes, concrete position, and various shapes of typically three-dimensional non-planar defects in practical engineering. By changing the geometric size of the defect and the electro-mechanical boundary conditions, the effects of three-dimensional defect geometry and different electro-mechanical coupling boundary conditions on the distribution of stress, electric field strength, and electric displacement around the defect are investigated. The calculation results show that the electro-mechanical parameters are strongly affected by the geometry of defect and boundary conditions. Furthermore, the distribution of electro-mechanical parameters in the detailed position of the different three-dimensional defect model is also studied, which can accurately assess the location where the defect is prone to fracture. It is concluded that this paper can be used as a reference of three-dimensional defects and the service life of piezoelectric materials in practical engineering structures.

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An analytical solution of three-dimensional steady thermodynamic analysis for a piezoelectric laminated plate using refined plate theory

Cited by 24 publications

References 49 publications

Thermal analysis of end pumped fiber lasers subjected to jacket fluid cooling

Thermal analysis of end pumped fiber lasers subjected to jacket fluid cooling

Numerical and experimental nonlinear dynamic response reduction of smart composite curved structure using collocation and non-collocation configuration

Finite element analysis of the three-dimensional crack and defects in piezoelectric materials under the electro-mechanical coupling field

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