Vibrations of truncated shallow and deep conical shells with non-uniform thickness
- Authors
- Kang, Jae-Hoon
- Issue Date
- Jul-2015
- Publisher
- TECHNO-PRESS
- Keywords
- truncated conical shell; vibration; variable thickness; three-dimensional analysis
- Citation
- STRUCTURAL ENGINEERING AND MECHANICS, v.55, no.1, pp 29 - 46
- Pages
- 18
- Journal Title
- STRUCTURAL ENGINEERING AND MECHANICS
- Volume
- 55
- Number
- 1
- Start Page
- 29
- End Page
- 46
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/9348
- DOI
- 10.12989/sem.2015.55.1.029
- ISSN
- 1225-4568
1598-6217
- Abstract
- A three-dimensional (3-D) method of analysis is presented for determining the natural frequencies of a truncated shallow and deep conical shell with linearly varying thickness along the meridional direction free at its top edge and clamped at its bottom edge. Unlike conventional shell theories, which are mathematically two-dimensional (2-D), the present method is based upon the 3-D dynamic equations of elasticity. Displacement components u(r), u(theta),and u(z) in the radial, circumferential, and axial directions, respectively, are taken to be periodic in. and in time, and algebraic polynomials in the r and z directions. Strain and kinetic energies of the truncated conical shell with variable thickness are formulated, and the Ritz method is used to solve the eigenvalue problem, thus yielding upper bound values of the frequencies by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Convergence to four-digit exactitude is demonstrated. The frequencies from the present 3-D method are compared with those from other 3-D finite element method and 2-D shell theories.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Engineering > School of Architecture and Building Science > 1. Journal Articles
![qrcode](https://api.qrserver.com/v1/create-qr-code/?size=55x55&data=https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/9348)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.