Three-dimensional free vibration of functionally graded truncated conical shells subjected to thermal environment

Buckling analysis of freely-supported functionally graded truncated conical shells under external pressures

“…Substituting (29) into expressions (25) and (28), after some manipulations, we obtain the expressions for dimensionless critical lateral and hydrostatic pressures of FG cylindrical shells. Here R is radius and 1 L is length of a cylindrical shell.…”

“…Extensive investigations have been carried out to study the eigenvalue problems of FG conical shells based on two dimensional (2-D) theories, such as CST and SDT. Most of these studies are devoted to the vibration problems of FG conical shells and have been limited to numerical solutions [23][24][25][26][27][28][29][30][31][32].…”

“…, the expressions for dimensionless critical lateral and hydrostatic pressures of FG complete conical shells are obtained, and of dimensionless critical lateral and hydrostatic pressures of FG truncated and complete conical shells in the framework of the STD are found by minimizing Eqs (25). and(28) with respect to n m, and λ.…”

On the vibration and stability of shear deformable FGM truncated conical shells subjected to an axial load

“…Zhao and Liew [37] analyzed free vibration of FG conical panels by a meshless method in the framework of FSDT. Malekzadeh et al [38] analyzed free vibration of non-rotating FG truncated conical shells in thermal environment based on FSDT using DQM. Malekzadeh and Heydarpour [39] investigated the influences of centrifugal and Coriolis forces in combination with the other geometrical and material parameters on the free vibration behavior of rotating functionally graded (FG) truncated M A N U S C R I P T…”

Analytical solutions for three-dimensional steady and transient heat conduction problems of a double-layer plate with a local heat source

“…Applying the finite difference method, Hein et al [21] analyzed the heat conduction problem with spatially varying parameters. Assuming material properties were temperature dependent and graded in the radial direction, Malekzadeh et al [22] presented a three-dimensional free vibration analysis of the FGM truncated conical shells placed in thermal environment. Due to nonuniform heat supply, Ootao and Ishihara [23] gave a three-dimensional solution for transient thermoelastic problem of a functionally graded rectangular plate with piecewise exponential law.…”