中央に円孔のある正方形平板の振動特性について
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概要
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This paper describes the characteristics of free vibration of a square plate with a circular hole at its center. The natural frequency and the mode of vibration are computed by the finite element method (FEM) and are observed experimentally. The boundary conditions of the plates are chosen to be four clamped edges, four simply supporeted edges, two opposite edges clamped and the other two supported edges, two opposite edges clamped and the other two free edges, and two opposite edges supported and the other two free edges each with a hole of free boundary condition. In the square plates (CCCC, CSCS, CFCF) that include the clamped edges at the boundaries degeneracy-phenomena are found to generate on the plates in the range of large openning ratio (α) which means the ratio of the hole's area to the area of the plate. In the plates (SSSS, SFSF) that do not include the clamped edges at the boundaries the degeneracy-phenomena are not found. Relation between natural frequecies and openning ratio α are complicated. At certain modes with certain boundary conditions the natural frequencies increases sharply with increasing α, but at certain modes and boundary conditions there are cases where the natural frequencies decrease as the α increases. When the hole is small, the mode shape of the vibrating plate is analogous to that of the non-hole plate. But as the hole becomes large the mode shape changes to a different pattern. Good agreements are found between the experimental observations and numerical calculations.
- 東海大学の論文