Effects of Varied Shear Correction on the Thermal Vibration of Functionally-Graded Material Shells in an Unsteady Supersonic Flow

Abstract

Abstract:A model is presented for functionally-graded material (FGM), thick, circular cylindrical shells under an unsteady supersonic flow, following first-order shear deformation theory (FSDT) with varied shear correction coefficients. Some interesting vibration results of the dynamics are calculated by using the generalized differential quadrature (GDQ) method. The varied shear correction coefficients are usually functions of FGM total thickness, power law index, and environment temperature. Two parametric effects of the environmental temperature and FGM power law index on the thermal stress and center deflection are also presented. The novelty of the paper is that the maximum flutter value of the center deflection amplitude can be predicted and occurs at a high frequency of applied heat flux for a supersonic air flow.

Advanced frequency of thick FGM cylindrical shells with fully homogeneous equation

“…Hong [17] presented the preliminary studies in free vibration frequency of thick FGM circular cylindrical shells without considering the effects of the nonlinear coefficient TSDT term on the calculation of varied shear correction coefficients. Hong [18] presented the basic studies of the varied shear correction and FSDT effects on the vibration frequency of thick FGM circular cylindrical shells in unsteady supersonic flow. Hong [19] presented the basic studies in thermal vibration of magnetostrictive FGM shells by considering the linear FSDT of displacements and varied effects of the shear correction coefficient.…”

Advanced Frequency Study of Thick FGM Cylindrical Shells by Using TSDT and Nonlinear Shear

“…Hong [10] presented the preliminary studies in free vibration frequency of thick FGM circular cylindrical shells without considering the effects of nonlinear coefficient TSDT term on the varied shear correction coefficient calculation. Hong [11] presented the preliminary studies of the varied shear correction and FSDT effects on the vibration frequency of thick FGM circular cylindrical shells in unsteady supersonic flow. In the advanced study for the vibration frequency of thick FGM circular cylindrical shells with the simply homogeneous equation, it is interesting to consider the simultaneous effects of the TSDT of displacements, the nonlinear shear correction coefficient of transverse shear force and the two directions of mode shapes.…”

Thermal Vibration of Thick FGM Circular Cylindrical Shells by Using TSDT

“…In 2017, Hong [10] presented the numerical thermal vibration results of FGM thick plates by considering the FSDT model and the varied shear correction factor effects. In 2017, Hong [11] presented the numerical thermal vibration and flutter results of a supersonic air flowed over FGM thick circular cylindrical shells. In 2017, Hong [12] presented the numerical displacement and stresses results of FGM thin laminated magnetostrictive shells by considering with velocity feedback and suitable control gain values under thermal vibration.…”