Advanced frequency analysis of thick FGM plates using third-order shear deformation theory with a nonlinear shear correction coefficient

Hong, C.C.

doi:10.31462/jseam.2022.03143160

Cited by 3 publications

(1 citation statement)

References 23 publications

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“…in which 𝑘 𝛼 is the advanced shear correction coefficient can be represented in the rational expression form and functions of 𝑐 1 , 𝑅 𝑛 , and 𝑇 by Hong [23,24].…”

Section: The Formulation For the Advanced Nonlinear 𝑘 𝛼mentioning

confidence: 99%

Advanced frequency of thick FGM cylindrical shells with fully homogeneous equation

Hong

2024

JSEAM

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The effects of shear deformation theory and improved shear correction factors on the advanced computation of frequencies by using the fully homogeneous equation for thick functionally graded material (FGM) circular cylindrical shells are studied. It is quite reasonable to consider the extra advanced effect of third-order shear deformation theory (TSDT) of displacements on the varied shear correction coefficient. The values of advanced nonlinear shear correction coefficient are usually functions of the nonlinear coefficient term in TSDT, power-law exponent parameter, and environment temperature. The main achievements in the nonlinear case of displacements and with the varied value of shear correction coefficients, the non-dimensional fundamental frequencies are estimated, investigated, and compared with the values in the linear case. This paper aims to study the fundamental frequencies of very thick FGM cylindrical shells under the advanced effects of shear deformation theory and improved shear correction factors.

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“…in which 𝑘 𝛼 is the advanced shear correction coefficient can be represented in the rational expression form and functions of 𝑐 1 , 𝑅 𝑛 , and 𝑇 by Hong [23,24].…”

Section: The Formulation For the Advanced Nonlinear 𝑘 𝛼mentioning

confidence: 99%

Advanced frequency of thick FGM cylindrical shells with fully homogeneous equation

Hong

2024

JSEAM

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Advanced Dynamic Thermal Vibration of Laminated FGM Plates with Simply Homogeneous Equation by Using TSDT and Nonlinear Varied Shear Coefficient

Hong

2022

Applied Sciences

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The effects of advanced nonlinear varied shear coefficient and third-order shear deformation theory (TSDT) on the dynamic responses of thick functionally graded material (FGM) plates under thermal vibration are investigated. The nonlinear coefficient of the displacement field of TSDT is used to obtain the expression of advanced varied shear coefficient for the thick FGM plates. The dynamic displacements, shear rotations and stresses in numerical results under sinusoidal applied heat loads are obtained and investigated. Two parametric effects of environment temperature and FGM power law index on the dynamic responses of thermal stress and center deflection of thick FGM plates are also investigated. The transient responses of center deflection are found for the cases of simply homogeneous equation and fully homogeneous equation. Also, the transient responses of center deflection are found for cases of nonlinear and linear varied-modified coefficient of shear correction.

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Determining the Advanced Frequency of Composited Functionally Graded Material Plates Using Third-Order Shear Deformation Theory and Nonlinear Varied Shear Coefficients

Hong

2024

J. Compos. Sci.

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The shear effect is usually considered in the numerical calculation of thick composited FGM plates. The characteristics that have the greatest effect on thickness are displacement type, shear correction coefficient, material property and temperature. For the advanced frequency study of thick composited functionally graded material (FGM) plates, it is interesting to consider the extra effects of the nonlinear coefficient c1 term of the third-order shear deformation theory (TSDT) of displacement on the calculation of varied shear correction coefficients. The values of nonlinear shear correction coefficients are usually functions of c1, the power-law exponent parameter and environment temperature. Numerical frequency computations are calculated using a simple homogeneous equation, and are investigated using TSDT and the nonlinear shear correction coefficient for thick composited FGM plates. Results for natural frequencies are found via the functions of length-to-thickness ratio, the power-law exponent parameter, c1 and environment temperature. This novel study in advanced frequency aims to determine the effects of the TSDT and nonlinear shear correction on thick FGM plates under free vibration.

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Advanced frequency analysis of thick FGM plates using third-order shear deformation theory with a nonlinear shear correction coefficient

Cited by 3 publications

References 23 publications

Advanced frequency of thick FGM cylindrical shells with fully homogeneous equation

Advanced frequency of thick FGM cylindrical shells with fully homogeneous equation

Advanced Dynamic Thermal Vibration of Laminated FGM Plates with Simply Homogeneous Equation by Using TSDT and Nonlinear Varied Shear Coefficient

Determining the Advanced Frequency of Composited Functionally Graded Material Plates Using Third-Order Shear Deformation Theory and Nonlinear Varied Shear Coefficients

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