On free vibration of thin, cylindrical shells with large circumferential wavenumber: Rayleigh's solution
The method of matched asymptotic expansions is used to obtain the natural frequencies and mode shapes for thin ( h a → 0 ) cylindrical shells corresponding to large circumferential wavenumbers n, where n = O(( a h ) 1 2 ) . The deformation is nearly inextensional: the frequency results are similar t...
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| Published in | Journal of sound and vibration Vol. 157; no. 2; pp. 277 - 288 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
08.09.1992
|
| Online Access | Get full text |
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| Summary: | The method of matched asymptotic expansions is used to obtain the natural frequencies and mode shapes for thin (
h
a
→ 0
) cylindrical shells corresponding to large circumferential wavenumbers
n, where
n = O((
a
h
)
1
2
)
. The deformation is nearly inextensional: the frequency results are similar to Rayleigh's result and are independent of end fixity through
O(
1
n
2
)
compared to unity. |
|---|---|
| Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 0022-460X 1095-8568 |
| DOI: | 10.1016/0022-460X(92)90681-M |