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A NEW METHOD FOR IN-PLANE VIBRATION ANALYSIS OF CIRCULAR RINGS WITH WIDELY DISTRIBUTED DEVIATION

✍ Scribed by Y.J. YOON; J.M. LEE; S.W. YOO; H.G. CHOI


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
292 KB
Volume
254
Category
Article
ISSN
0022-460X

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✦ Synopsis


A new analytical method was developed to predict the in-plane mode shapes and the natural frequencies of a ring with widely distributed deviation. The Laplace transform was used to "nd the exact solution of eigenvalue problem without assuming any trial functions and "nite elements. The widely distributed deviation was e!ectively formulated in the theory using Gauss}Legendre quadrature. The validity of the proposed method was examined through "nite element analysis and modal test. The e!ects of partial change of the density, the sti!ness, and the thickness on the natural frequencies of the ring were investigated.