Three-dimensional dynamo-thermo-elastic analysis of a functionally graded cylindrical shell with piezoelectric layers by DQ-FD coupled

Alashti, R. Akbari; Khorsand, Mohammad

doi:10.1016/j.ijpvp.2012.06.006

Cited by 20 publications

(4 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Among them, the Lord and Shulman (L-S) generalized thermoelasticity theory is one of the simplest formulations applied in the literature [4][5][6][7][8][9][10][11][12][13][14], which includes a relaxation time and a coupling between thermal and mechanical energies [1]. In this framework, some interesting thermoelastic studies based on an uncoupled classical thermoelasticity theory of FG cylindrical panels and shells can be found in [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. These studies considered the possible presence of piezoelectric layers, and estimated the temperature distribution of a body by means of a Fourier heat conduction law.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

et al. 2020

View full text Add to dashboard Cite

We propose a coupled thermoelastic approach based on the Lord-Shulman (L-S) and Maxwell’s formulations to study the wave propagation in functionally graded (FG) cylindrical panels with piezoelectric layers under a thermal shock loading. The material properties of the FG core layer feature a graded distribution throughout the thickness and vary according to a simple power law. A layerwise differential quadrature method (LW-DQM) is combined with a non-uniform rational B-spline (NURBS) multi-step time integration scheme to discretize the governing equations both in the spatial and time domains. The compatibility conditions of the physical quantities are enforced at the interfaces to describe their structural behavior in a closed form. A validation and comparative analysis with the available literature, together with a convergence study, show the efficiency and stability of the proposed method to handle thermoelastic problems. Numerical applications are herein performed systematically to check for the sensitivity of the thermoelastic response to the material graded index, piezoelectric layer thickness, external electrical voltage, opening angle, and shock thermal loading, which would be very helpful for practical engineering applications.

show abstract

Section: Introductionmentioning

confidence: 99%

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

et al. 2020

View full text Add to dashboard Cite

show abstract

“…where the prescribed body force vector b is b = [ bx by bz ] T (22) where bx , by and bz are the body force components.…”

Section: Element-free Model Of Fgpbfmentioning

confidence: 99%

“…Based on the first-order shear deformation theory and finite element method, Lu et al [21] numerically analyzed the free vibration behavior of the functionally graded piezoelectric plates with classical and elastic constraints. In addition to the finite element method, the researchers have also studied the FGPSs through the finite difference method [22] and boundary element method [23]. However, the traditional element based numerical methods, such as the finite element method and finite difference method, have obvious mesh dependency, which often leads to some drawbacks such as low computation accuracy and poor computation efficiency in analyzing the FGPSs.…”

Section: Introductionmentioning

confidence: 99%

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

Ma,

Zhou,

et al. 2024

Funct. Compos. Struct.

View full text Add to dashboard Cite

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.

show abstract

“…Lü et al (2007) gave semi-analytical elasticity solutions for the bending of angle-ply laminates in cylindrical bending. Akbari Alashti and Khorsand (2012) performed 3D thermo-elastic analysis of FGM cylindrical shells with piezoelectric layers.…”

Section: Introductionmentioning

confidence: 99%

A semi-analytical state-space approach for 3D transient analysis of functionally graded material cylindrical shells

Liang

Kou

Liu

et al. 2015

J. Zhejiang Univ. Sci. A

View full text Add to dashboard Cite

Abstract:A good understanding of the mechanical behavior of functionally graded material (FGM) cylindrical shells is necessary for designers and researchers. However, the 3D transient response of FGM cylindrical shells under various boundary conditions has not yet been analyzed. In this paper, the problem is addressed by proposing an approach integrating the state space method, differential quadrature method, and Durbin's numerical inversion method of Laplace transform. The laminate model is used to obtain the transient solution in the radial direction. At the edges, four kinds of boundary conditions are considered: Clamped-Clamped, Clamped-Simply supported, Clamped-Free, and Simply supported-Simply supported. The results of the proposed method and finite element (FE) method agree with each other excellently. Convergence studies show that the proposed method has a fast convergence rate. The natural frequencies obtained by the proposed method, experiment, and other theoretical methods are in close agreement with each other. The effects of the load frequency and duration, length/outer radius ratio, and the (outer radius−inner radius)/outer radius ratio on the transient response of FGM shells are investigated. Two laws of variation of material properties along the radial direction are considered: the first has material properties varying according to an exponential law along the radial direction, while the second has material properties varying according to a power law. The effect of a functionally graded index on the transient response of FGM shells is investigated in both cases. The results obtained in this paper can serve as benchmark data for further research.

show abstract

Three-dimensional dynamo-thermo-elastic analysis of a functionally graded cylindrical shell with piezoelectric layers by DQ-FD coupled

Cited by 20 publications

References 21 publications

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

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

A semi-analytical state-space approach for 3D transient analysis of functionally graded material cylindrical shells

Contact Info

Product

Resources

About