Study the Thermal Gradient Effect on Frequencies of a Trapezoidal Plate of Linearly Varying Thickness

Gupta, Arun Kumar; Sharma, Pragati

doi:10.4236/am.2010.15047

Cited by 3 publications

(3 citation statements)

References 20 publications

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“…Bhatnagar and Gupta (1988) analyzed the vibration of visco-elastic circular plate subjected to a thermal gradient. Gupta and Sharma (2010) studied the effect of a thermal gradient on the vibration of trapezoidal plate of linearly varying thickness. Tomar and Gupta (1985) studied the effect of a thermal gradient on frequencies of an orthotropic rectangular plate whose thickness varies in two directions.…”

Section: Introductionmentioning

confidence: 99%

Effect of linear thermal gradient on vibrations of trapezoidal plates whose thickness varies parabolically

Gupta

Sharma

2011

Journal of Vibration and Control

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Plates of variable thickness are widely used in modern technology nowadays in various engineering fields, such as marine engineering, aeronautical fields, nuclear reactors etc. The present paper is a study of linear thermal gradient on the vibration of trapezoidal plates with parabolically varying thickness. The Rayleigh Ritz technique is used to get the required frequency equation. In the present investigation, the effect of various factors, i.e. thermal gradient, taper constant and aspect ratio are studied to calculate the frequencies corresponding to the first two modes of vibration and are presented in tabular and graphical form.

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Section: Introductionmentioning

confidence: 99%

Effect of linear thermal gradient on vibrations of trapezoidal plates whose thickness varies parabolically

Gupta

Sharma

2011

Journal of Vibration and Control

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“…Kit ipornchai et al [22] d iscussed a global approach for vibration of thick trapezoidal p lates. Gupta and Sharma [23] studied the thermal g radient effect on frequencies of a trapezoidal plate o f linearly varying thickness. Gupta and Sharma [24] studied the thermal effect on vibration of non-homogeneous trapezoidal p late of linearly varying thickness.…”

Section: Introductionmentioning

confidence: 99%

“…(22) must be zero. So one gets the frequency equation as (23),. one can obtain a quadratic equation in fro m wh ich the two values can found which constitutes first and second mode of vibration.…”

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confidence: 99%

Study of Thermally Induced Vibration of Non-Homogeneous Trapezoidal Plate with Varying Thickness and Density

Gupta¹,

Sharma²

2013

AJCAM

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The goal of present investigation is to study the effect of thermal gradient on the vibrations of non-homogeneous trapezoidal plate whose thickness varies parabolically and density varies linearly. Effect o f other plate parameters such as non-homogeneity constant, taper constant and aspect ratios have also been studied. C-S-C-S boundary condition with two term deflection is taken into consideration. Rayleigh-Ritz method is used to find the solution of the problem. Results are calculated with great accuracy and presented in tabular form. Co mparison of the results with published data has also shown.

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The effect of temperature on the vibration behavior of laminated composite plates

SALHI,

OUNIS,

MELLAS

2024

International Journal of Applied Mechanics and Engineering

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The present work is a contribution to the study of the effects of temperature on vibrations and stability of laminated composite plates using the finite element method. Thus, a DMQP/ml bending finite element with 4 nodes and 3 degrees of freedom based on the first order shear theory is extended to consider the effects of temperature on vibration and stability of laminated composite plates. The effect of the dependence of material properties on temperature as well as the effect of the of thermal stresses on the natural frequencies of laminated plates are studied simultaneously. A parametric study was carried out to highlight the effect of certain parameters on the vibration behavior of the laminated plates. The study showed that in most cases, the natural frequencies of vibration decrease with the increase in temperature. On the other hand, if the temperature inflicted on the plate coincides with the critical buckling temperature, the natural frequencies tend towards zero. Moreover, based on experimental data, this paper presents a study of the effect of temperature on the vibration behavior of a laminated T300/5208 Graphite/Epoxy plate. The study showed that temperature significantly changes the properties of the materials as well as the vibration behavior of the plate.

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Study the Thermal Gradient Effect on Frequencies of a Trapezoidal Plate of Linearly Varying Thickness

Cited by 3 publications

References 20 publications

Effect of linear thermal gradient on vibrations of trapezoidal plates whose thickness varies parabolically

Effect of linear thermal gradient on vibrations of trapezoidal plates whose thickness varies parabolically

Study of Thermally Induced Vibration of Non-Homogeneous Trapezoidal Plate with Varying Thickness and Density

The effect of temperature on the vibration behavior of laminated composite plates

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