Generalized non-linear free vibrations of prestressed plates and shells
β Scribed by Azriel Harari
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 1019 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0020-7462
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π SIMILAR VOLUMES
In this article, a detailed study of the forced asymmetric non-linear vibrations of circular plates with a free edge is presented. The dynamic analogue of the von K" a arm" a an equations is used to establish the governing equations. The plate displacement at a given point is expanded on the linear
The theoretical model based on Hamilton's principle and spectral analysis, previously used to obtain the "rst three non-linear modes of a clamped}clamped beam [1], and the "rst non-linear mode of a fully clamped rectangular plate [2], is used here in order to calculate the second non-linear mode of
A Rayleigh-Ritz approach, previously shown to apply to the free vibration of beam systems and rectangular plate systems, is applied to the free vibrational problem of systems comprised of circularly cylindrical, thin shells and thin annular or circular plates. The approach utilizes the concept of ar