Author
T. Irie
Bio: T. Irie is an academic researcher from Hokkaido University. The author has contributed to research in topics: Vibration & Boundary value problem. The author has an hindex of 10, co-authored 25 publications receiving 614 citations.
Papers
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154 citations
TL;DR: In this paper, the free vibration analysis of joined conical-cylindrical shells is presented, where the governing equations of vibration of a conical shell, including a cylindrical shell as a special case, are written as a coupled set of first order differential equations by using the transfer matrix of the shell.
129 citations
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TL;DR: In this paper, the effect of shear deformations using the first-order shear deformation theory is derived and solved exactly for various combinations of boundary conditions by using the exact element method.
299 citations
TL;DR: An edge-based smoothed finite element method (ES-FEM) for static, free vibration and buckling analyses of Reissner-Mindlin plates using 3-node triangular elements is studied in this paper.
211 citations
TL;DR: In this article, a free vibration analysis for laminated conical and cylindrical shells was carried out using Love's first approximation thin shell theory and solved using discrete singular convolution (DSC) method.
158 citations
TL;DR: In this paper, free vibration analysis of conical and cylindrical shells and annular plates made of composite laminated and functionally graded materials (FGMs) is investigated for FGM cases.
Abstract: 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.
158 citations
TL;DR: In this article, the free vibration analysis of thin conical shells under different boundary conditions is carried out using the element-free kp-Ritz method, and convergence studies are performed based on the influences of the support size and the number of nodes.
157 citations