The vibration analysis of FGM truncated conical shells resting on two-parameter elastic foundations
Mechanics of Advanced Materials and Structures, vol.19, no.4, pp.241-249, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 19 Issue: 4
- Publication Date: 2012
- Doi Number: 10.1080/15376494.2011.642934
- Journal Name: Mechanics of Advanced Materials and Structures
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.241-249
- Keywords: FGM, Fundamental frequency, Truncated conical shell, Vibration, Winkler-Pasternak foundation
- İstanbul Ticaret University Affiliated: No
Abstract
An analytical formulation is presented for the vibration analysis of truncated conical shells made of functionally graded material and resting on the Winkler-Pasternak foundations. It is assumed that the truncated conical shell is a mixture of metal and ceramic that its properties changes as a function of the shell thickness. The governing equations according to the Donnell's theory are solved by Galerkin's method and the fundamental frequencies with or without two-parameter elastic foundation have been found. The effects of the elastic foundations, changing large radius-to-small radius ratio, lengths-to-radius ratio, material composition and volume fraction of constituent materials on the fundamental frequencies of the truncated conical shell are investigated. Copyright © Taylor & Francis Group, LLC.