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http://dx.doi.org/10.5050/KSNVN.2005.15.10.1186

Natural Vibration Analysis of Thick Rings  

Park, Jung-Woo (인하대학교 대학원 기계공학과)
Kim, Sehee (인하대학교 대학원 기계공학과)
Kim, Chang-Boo (인하대학교 기계공학부)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.15, no.10, 2005 , pp. 1186-1194 More about this Journal
Abstract
In this paper, we have systematically formulated the equations concerned to the in-plane and out-of-plane motions and deformations of a thick circular beam by using the kinetic and strain energies in order to analyse natural frequencies of a thick ring. The effects of variation of radius of curvature across the cross-section and also the effects of bending shear, extension and twist are considered. The equations of motion for natural vibration analysis of a ring are obtained utilizing the cyclic symmetry of vibration modes of the ring. The frequencies calculated using thick ring model and thin ring model are compared and discussed with the ones obtained from finite element analysis using the method of cyclic symmetry with 20-node hexahedral solid elements for rings with the different ratio of radial thickness to mean radius.
Keywords
Thick Ring; Thin Ring; In-plane Motion; Out-of-plane Motion; Cyclic Symmetry;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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