Exact vibration analysis of variable thickness thick annular isotropic and FGM plates

An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates

Numerical analysis of free vibrations of laminated composite conical and cylindrical shells: Discrete singular convolution (DSC) approach

In this study, free vibration analysis of conical and cylindrical shells and annular plates made of composite laminated and functionally graded materials (FGMs) is investigated. Carbon nanotubes reinforced (CNTR) composite case is also taken consideration for FGM. The equations of motion for conical shell are obtained via Hamilton's principle using the transverse shear deformation theory. To obtain the eigenvalue problem of the system, the method of discrete singular convolution is employed. Material properties are graded in the thickness direction according to a volume fraction power law and four-parameter power law indexes for FGM cases. Five types of distributions of CNTR material are also considered. To verify the accuracy of this method, comparisons of the present results are made with results available in the open literature. Free vibrations of cylindrical shells and annular plates with FGM are treated as special cases. Results are also presented for carbon nanotubes reinforced (CNTR) composite cylindrical shells and annular plates. It is found that the convergence and accuracy of the present DSC method is very good for vibration problem of shells with functionally graded materials (FMG) and CNTR functionally graded materials.

Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method

Free vibration analysis of conical shells via the element-free kp-Ritz method

Natural frequencies of truncated conical shells

Free vibration of joined conical-cylindrical shells

Natural Frequencies of Mindlin Circular Plates

Natural Frequencies of Thick Annular Plates

Natural Frequencies of In-Plane Vibration of Arcs

T. Irie

Papers

Natural frequencies of truncated conical shells

Free vibration of joined conical-cylindrical shells

Natural Frequencies of Mindlin Circular Plates

Natural Frequencies of Thick Annular Plates

Natural Frequencies of In-Plane Vibration of Arcs