Author
K. Tanaka
Bio: K. Tanaka is an academic researcher from Hokkaido University. The author has contributed to research in topics: Deflection (engineering) & Bending of plates. The author has an hindex of 4, co-authored 5 publications receiving 168 citations.
Papers
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154 citations
TL;DR: In this article, the free vibration analysis of a cantilever annular sector plate with curved radial edges is presented, and the transverse deflection of the transformed plate is expressed in a power series and the dynamical energies of the plate are evaluated by the Ritz method.
14 citations
TL;DR: In this paper, an analysis of the free vibration of a circular plate restrained against deflection along radial segments is presented, with the reaction forces acting on the segments regarded as unknown harmonic loads, the stationary response of the plate to these loads is expressed by the use of the Green function.
6 citations
5 citations
TL;DR: In this paper, the free vibration of a cantilever annular sector plate with curved radial edges and varying thickness is analyzed by the Ritz method, where the plate is transformed into a regular sector plate by a transformation of variables, and the transverse deflection of the transformed plate is expressed in a power series.
1 citations
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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
TL;DR: In this article, the vibration and stability of freely supported FGM truncated and complete conical shells subjected to uniform lateral and hydrostatic pressures are investigated, where the functionally graded material properties are assumed to vary continuously through the thickness of the conical shell.
145 citations
TL;DR: In this article, a composite truncated conical shell with embedded single-walled carbon nanotubes (SWCNTs) subjected to an external pressure and axial compression simultaneously is considered.
121 citations