The paper deals with the problem of vibrations and stability of a non-prismatic column compressed by the follower force. The material of the column is characterized by Rabotnov's strain hardening non-linear creep law. It is assumed that the stress and strain in the basic state (e.g., pure compressio
VIBRATION AND STABILITY OF ANNULAR PLATES IN NON-LINEAR CREEP CONDITIONS
β Scribed by A. GAJEWSKI
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 400 KB
- Volume
- 249
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
This paper presents a study on the in#uence of the physical non-linearity of material in creep conditions on vibration and stability of non-uniform annular plates subjected to a follower force radially distributed at the outer edge. The stability analysis requires "rst the calculation of a membrane stress distribution and then the application of the kinetic stability criterion, making use of small superposed vibrations. The di!erential equations of the membrane and vibration states have been integrated by means of the transfer matrix method which allowed the determination of the relationships between the real and imaginary parts of the complex frequency and compressive force (characteristic curves). The results have been presented in numerous "gures.
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