Free and forced vibration analysis of T-shaped plates with general elastic boundary supports

Free flexural vibration analysis of stiffened plates with general elastic boundary supports

The free flexural vibration of a stiffened rectangular plate is investigated by using the finite element method (FEM). In the present model, the plate can have arbitrary elastic boundary conditions and arbitrarily located stiffeners. Numerical studies are conducted to analyze the natural frequencies of concentrically/eccentrically stiffened plates with different boundary conditions and the resu...

Free vibration analysis of orthotropic rectangular Mindlin plates with general elastic boundary conditions

In this investigation, a modified Fourier solution based on the Mindlin plate theory is developed for the free vibration problems of orthotropic rectangular Mindlin plates subjected to general boundary supports. In this solution approach, regardless of the boundary conditions, the plate transverse deflection and rotation due to bending are invariantly expressed as a new form of trigonometric se...

Analysis of Free Vibration of Triangular Plates with Non-Uniform Linear Thickness and Arbitrary Boundary Conditions

Analysis of Free Vibration of Triangular Plates with Non-Uniform Linear Thickness and Arbitrary Boundary Conditions

Free and Forced Transverse Vibration Analysis of Moderately Thick Orthotropic Plates Using Spectral Finite Element Method

In the present study, a spectral finite element method is developed for free and forced transverse vibration of Levy-type moderately thick rectangular orthotropic plates based on first-order shear deformation theory. Levy solution assumption was used to convert the two-dimensional problem into a one-dimensional problem. In the first step, the governing out-of-plane differential equations are tr...