Vibration Characteristics and Transient Response of Shear-Deformable Functionally Graded Plates in Thermal Environments

Yang, Jie; Shen, Haiping

doi:10.1006/jsvi.2001.4161

Cited by 344 publications

(89 citation statements)

References 23 publications

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“…Yang and Shen 15 have proposed a theoretical method for vibration characteristics study of initially stressed functionally graded rectangular plates made up of metal and ceramic in the thermal environment. The thermomechanical induced vibration characteristics of FGM plates have been studied by Talha and Singh.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Rotating Plates in High Thermal Environments Using the Finite Element Method

Ramu¹,

Mohanty²

2017

IJAV

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The aim of the work is to study the vibration characteristics of rotating functionally graded material (FGM) plates using the finite element method. The mechanical properties of the ordinary and temperature dependent FGM plates are assumed to be varying in the thickness direction according to a power law distribution in terms of the volume fractions of the constituents. The temperature field is ascertained using a nonlinear distribution in the thickness direction only. The present method results are compared with numerical results available in the literature. The frequency characteristics of the rotating ordinary FGM and temperature dependent FGM plates are examined. The effect of parameters such as hub radius, rotating speed, temperature change, and power law index value on the natural frequencies of rotating FGM plates are investigated through this study. The plots reveal that the temperature field, rotational speed, and the gradient index in the material properties have a significant effect on the vibration characteristics of the rotating ordinary FGM and temperature dependent FGM plates.

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Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Rotating Plates in High Thermal Environments Using the Finite Element Method

Ramu¹,

Mohanty²

2017

IJAV

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“…In order to use the functionally graded materials effectively and efficiently, researchers have done various studies on stability, nonlinear vibration, bifurcation and chaos of the functionally graded materials [1][2][3][4][5][6]. In addition, much work related to complex dynamic bifurcation phenomena exhibited by a nonlinear autonomous system in the vicinity of compound critical points have been discussed by a few researchers in detail.…”

Section: Introductionmentioning

confidence: 99%

Local Stability and Bifurcation Analysis of A Functionally Graded Material Plate

Zhang¹,

Han²

2017

Proceedings of the 3rd Annual International Conference on Mechanics and Mechanical Engineering (MME 2016)

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Abstract. In this paper, we investigated the local stability of a simply supported functionally graded material (FGM) rectangular plate subjected to the transversal and in-plate excitations in the uniform thermal environment both analytical and numerical approaches. Three kinds of critical points of the bifurcation response equations are considered, which are characterized by a double zero eigenvalues, a simple zero and a pair of pure imaginary eigenvalues as well as two pairs of pure imaginary eigenvalues in nonresonant case, respectively. With the aid of a symbolic computation language Maple and normal form theory, the explicit expressions of critical bifurcation lines are obtained. Finally, the numerical solutions obtained by using fourth-order Runge-Kutta method agree with the analytic predictions.

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“…Praveen and Reddy [6] studied responses of FGPs based on static and dynamic thermoelastic responses and concluded that, the differences of pure ceramic or metal plates depend on responses of FGPs. Yang and Shen [7] presented a free and forced vibration analyses of functionally graded plates subjected to impulsive lateral loads under thermal environments. Dirichlet boundary conditions (DBCs) generally hold two forms: homogeneous Dirichlet boundary conditions (HDBCs) and inhomogeneous Dirichlet boundary conditions (IDBCs).…”

Section: Introductionmentioning

confidence: 99%

Analytical and Numerical Analysis of Functionally Graded Heat Conduction Based on Dirichlet Boundary Conditions.

Essa¹

2016

J Material Sci Eng

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An analytical and numerical solution for the one dimensional of heat conduction in a slab exposed to different temperature at both ends is presented. The distribution of heat throughout the transient direction obeys to functionally graded (FG) temperature based on Dirichlet boundary conditions. The variation of functionally graded temperature can be described by any form of continuous function. In this case, where the external heat fluxes are not directly definite based on the Dirichlet or mixed boundary conditions, the fluxes that concluded over the slab faces are free to vary until the equilibrium condition is reached. By numerically solving the resulting heat-conduction equation, the distribution of temperature which vary with time through the slab is obtained. The obtained analytical results are presented graphically and the influence of the gradient variation of the temperature on shape formed with changed time is investigated.

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Vibration Characteristics and Transient Response of Shear-Deformable Functionally Graded Plates in Thermal Environments

Cited by 344 publications

References 23 publications

Free Vibration Analysis of Rotating Plates in High Thermal Environments Using the Finite Element Method

Free Vibration Analysis of Rotating Plates in High Thermal Environments Using the Finite Element Method

Local Stability and Bifurcation Analysis of A Functionally Graded Material Plate

Analytical and Numerical Analysis of Functionally Graded Heat Conduction Based on Dirichlet Boundary Conditions.

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