弾性支持された変厚円環板の固有振動

概要

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Free vibration of variable thickness annular plates of which deformation at the inner and outer edges are elastically constrained has been analyzed by the Galerkin method. By adopting eigen functions of free vibration of constant thickness annular plates, solutions that exactly satisfy the boundary conditions have been obtained. This method produces exact solutions in cases of constant thickness annular plates. The relation of natural frequencies with the taper ratio and with the stiffnesses of elastic springs have been evaluated for annular plates in which the thickness linearly varies in the radial direction. It has been confirmed that when the stiffnesses of elastic springs become larger or smaller than certain values, the natural frequencies nearly agree with those of the state when the edges are completely constrained or free. The changes of natural frequencies when the stiffnesses of elastic springs change from zero to infinity have been shown quantitatively.
一般社団法人日本機械学会の論文
1986-05-25