Temperature dependent vibration analysis of functionally graded rectangular plates

Kim, Young-Wann

doi:10.1016/j.jsv.2004.06.043

Cited by 266 publications

(83 citation statements)

References 17 publications

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“…Typically, a FGM is made of a ceramic and a metal for the purpose of thermal protection against large temperature gradients. FGMs were initially designed for use in high-temperature environments [23][24][25], but now they are developed for applications that require high structural performance [12][13][14]19,20,[26][27][28][29][30]. Some of these studies were carried out on an analysis of FGM shells embedded in an elastic foundation or filled with fluid.…”

Section: Introductionmentioning

confidence: 99%

Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells

Kim

2015

Acta Mech. Sin.

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The free vibration characteristics of fluid-filled functionally graded cylindrical shells buried partially in elastic foundations are investigated by an analytical method. The elastic foundation of partial axial and angular dimensions is represented by the Pasternak model. The motion of the shells is represented by the first-order shear deformation theory to account for rotary inertia and transverse shear strains. The functionally graded cylindrical shells are composed of stainless steel and silicon nitride. Material properties vary continuously through the thickness according to a power law distribution in terms of the volume fraction of the constituents. The governing equation is obtained using the Rayleigh-Ritz method and a variation approach. The fluid is described by the classical potential flow theory. Numerical examples are presented and compared with existing available results to validate the present method.

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Section: Introductionmentioning

confidence: 99%

Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells

Kim

2015

Acta Mech. Sin.

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“…The functional grading was achieved through continuously changing the fiber orientation angle through the thickness. Kim [14] developed an analytical technique to investigate the effect of temperature on the vibration characteristics of thick functionally graded rectangular plates, taking into account the temperature-dependence of the material properties. The influence of thermal environment on the critical flutter dynamic pressure of a flat FGM panel was studied by Prakash and Ganapathi [15].…”

Section: Introductionmentioning

confidence: 99%

Thermo-acoustic random response of temperature-dependent functionally graded material panels

et al. 2010

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A nonlinear finite element model is provided for the nonlinear random response of functionally graded material panels subject to combined thermal and random acoustic loads. Material properties are assumed to be temperaturedependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The governing equations are derived using the first-order shear-deformable plate theory with von Karman geometric nonlinearity and the principle of virtual work. The thermal load is assumed to be steady state constant temperature distribution, and the acoustic excitation is considered to be a stationary white-Gaussian random pressure with zero mean and uniform magnitude over the plate surface. The governing equations are transformed to modal coordinates to reduce the computational efforts. Newton-Raphson iteration method is employed to obtain the dynamic response at each time step of the Newmark implicit scheme for numerical integration. Finally, numerical results are provided to study the effects of volume fraction exponent, temperature rise, and the sound pressure level on the panel response.

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“…in several literatures (3)- (11) . However, the global responses (deflection, natural frequencies and buckling loads) given by the classical theories are underestimated for deflection (2) and overestimated for natural frequencies (13) (14) and buckling loads (15) , as compared with results given by elasticity or shear deformation theories, because the classical theories do not account for the transverse shear deformation. Consequently, several shear deformation theories (16)- (29) have been used to analyze shear deformable beams and plates composed of FGMs.…”

Section: Introductionmentioning

confidence: 84%

Generalized Shear Deformation Theory for Bending of Inhomogeneous Beams

Higuchi

Toyamine

Adachi

et al. 2012

JMMP

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A simple generalized shear deformation theory was developed to accurately analyze the bending behavior of shear deformable beams composed of inhomogeneous materials such as functionally graded materials. The generalized theory expresses the axial displacement in terms of the transverse shear strain derived from the equilibrium equations of stress in the axial direction. To confirm the validity of the generalized shear deformation theory, we analyzed simply supported beams subjected to a transverse load. The transverse shear strain and stress given by the generalized theory matched the ones by the solutions based on the two-dimensional elasticity. The generalized theory is thus accurate enough for any inhomogeneous beam.

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Temperature dependent vibration analysis of functionally graded rectangular plates

Cited by 266 publications

References 17 publications

Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells

Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells

Thermo-acoustic random response of temperature-dependent functionally graded material panels

Generalized Shear Deformation Theory for Bending of Inhomogeneous Beams

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