Mindlinの解法を適用した両端自由縁厚肉円筒の振動モード解析

抄録

This paper describes the modal analysis of a thick cylinder with both ends free, based on Mindlin's thick plate theory. The equations of vibration of the thick cylinder were derived in consideration of shearing deformation and rotatory inertia, and were simplified and solved under assumption of the axial and circumferential deformations of the neutral cylindrical surface. Except for some low modes, the calculated natural frequencies agreed well with the values obtained by experimental modal analysis and with the modal analysis by use of Finite Element Method. Also, the calculated mode shapes compared well with those obtained by FEM modal analysis.