任意の子午線形状を有する軸対称中実体の自由振動

概要

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An analysis is presented for the three-dimensional vibration problem of determining the natural frequencies and the mode shapes of axisymmetrical solid bodies, with a variable meridional profile expressed as an arbitrary function. For this purpose, the solid body is transformed into a solid cylinder of unit axial length and unit radius by a transformation of variables. With the displacements of the transformed solid cylinder assumed in the forms of algebraic polynomials, the frequency equation is derived by means of the Ritz method. This method is applied to solid bodies of revolution with a linear or a parabolic meridional profile under two combinations of boundary conditions at the edges. The natural frequencies and the mode shapes are calculated numerically up to higher modes, and the results are presented in some figures.
社団法人日本機械学会の論文
1986-01-25