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T. Mizusawa

Bio: T. Mizusawa is an academic researcher. The author has contributed to research in topics: Boundary value problem & Numerical analysis. The author has an hindex of 1, co-authored 1 publications receiving 3 citations.

Papers
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TL;DR: In this article, the spline element method was used to deal with the vibrations of stepped annular sector plates with arbitrary boundary conditions using the splines element method, and several examples were solved, and results were compared with those obtained by other numerical methods.

3 citations


Cited by
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TL;DR: In this article, an exact analytical method for free vibration analysis of FG thin annular sector plates resting on Winkler and Pasternak elastic foundations is presented. But the analysis is restricted to the case where the annular sectors support radial edges and arbitrary boundary conditions along the circular edges.
Abstract: This article introduces an exact analytical method for free vibration analysis of functionally graded (FG) thin annular sector plates resting on Winkler and Pasternak elastic foundations. The annular sector plate has simply supported radial edges and arbitrary boundary conditions along the circular edges. Based on the displacement field of Kirchhoff plate theory, the governing equations of motion are obtained considering the in-plane displacements and rotary inertia. Using a set of functions, the three coupled governing equations of motion are converted into two decoupled equations. By applying the boundary conditions at inner and outer radii, an eigenvalue problem for finding the natural frequencies is obtained. The nine distinct cases are considered involve all possible combinations of boundary conditions along the circular edges. Accurate non-dimensional frequency is presented for over a wide range of sector angles, some inner to outer radii (aspect ratio) and different powers of functionally graded ma...

39 citations

Journal ArticleDOI
TL;DR: In this paper, a numerical procedure based on the Rayleigh-Ritz method is used to determine the flexural behavior of a cantilevered annular sector plate of variable rigidity, including the effects of shear deformation.

22 citations

Journal ArticleDOI
TL;DR: In this article, the bending analysis of two-directional functionally graded circular/annular sector plates with variable thickness fully and partially resting on elastic foundations is investigated, for the first time.
Abstract: In this paper, bending analysis of two-directional functionally graded circular/annular sector plates with variable thickness fully and partially resting on elastic foundations is investigated, for the first time. The material properties vary simultaneously in transverse and radial directions according to a power-law distribution of the volume fraction of the constituents. Based on the first-order shear deformation theory and using the concept of physical neutral surface, the governing equations are derived. A polynomial-based generalized differential quadrature method is then employed to solve the set of governing partial differential equations for various combinations of boundary conditions. The validity and accuracy of the results are demonstrated by comparison with existing results in the literature. Effects of boundary conditions, power-law indices, thickness variation, two-parameter elastic foundations, and geometrical parameters on static responses of circular/annular sector plates subjected to uniform and non-uniform loading are studied in detail. It is found that the physical neutral surface varies in radial direction owing to variations of Young’s modulus and thickness in radial direction.

12 citations