In the present research, a unified formulation for free vibration analysis of the bidirectional functionally graded conical and cylindrical shells and annular plates on elastic foundations is developed. To cover more individual cases and optimally tailored material properties, the material properties are assumed to vary in both the meridian/radial and transverse directions. The shell/plate is a...

Buckling and vibrational behaviour of non-homogeneous orthotropic rectangular plates of variable thickness having two opposite edges (y = 0 and b) simply supported and these are subjected to constant in-plane force have been analyzed on the basis of classical plate theory. The other two edges (x = 0 and a) may be clamped, simply supported or free. For nonhomogeneity of the plate material, Young...

In the field of offshore renewable energy, impermeable plates are used as underwater lenses to amplify wave amplitude, and perforated can harness energy a power takeoff device. Within framework linear potential-flow theory, water scattering by horizontal is investigated in present study, both circular elliptical considered. The hypersingular integral equation constructed model interaction betwe...

Understanding asymptotics of gradient components in relation to the symmetrized gradient is important for the analysis of buckling of slender structures. For circular cylindrical shells we obtain the exact scaling exponent of the Korn constant as a function of shell’s thickness. Equally sharp results are obtained for individual components of the gradient in cylindrical coordinates. We also deri...

This paper presents the governing equations and analytical solutions of classical shear deformation theories functionally graded axisymmetric circular plates. The classical, first-order, third-order are presented, accounting for through-thickness variation two-constituent material, modified couple stress effect, von Kármán nonlinearity. Analytical bending linear theories, some which not readily...

The Stoney formula is widely used to obtain residual stress in films on isotropic circular plates. However, the case of large deformations, this produces significant errors because assumption small deformations its derivation. In study, a modified that extends scope application nonlinear domain proposed. A one-phase exponential decay function with single coefficient p relate curvature substrate...

A study has been conducted on the transmission loss of perforated plates at normal incidence. The investigation includes a theoretical analysis of the problem with validation through experimentation. The experiments comprised microphone measurements of transmission loss for 11 perforated plates with variable thickness, hole size, and porosity. The theoretical model is based on planar wave propa...

The outcome of a welding process relies on various factors, one which is the heat input at welded joint. Consequently, thermal conductivity plates to be holds significant importance, just like selection technique. This research investigates impact applying Metal Active Gas (MAG) and Submerged Arc Welding (SAW) methods differently coated (shop-primer) plates, as well un-coated S235JR structural ...

A new mixed four-node quadrilateral element (MiQ4) is established in this paper to investigate functionally graded material (FGM) plates with variable thickness. The proposed developed based on the first-order shear deformation and finite technique, so does not need any selective or reduced numerical integration. Numerous basic tests have been carried out demonstrate accuracy convergence of ele...