Abstract
The stability of a cantilever beam subjected to one-dimensional leakage flow is investigated. The motion of such a beam is expressed as the sum of the first few eigenfunctions of a cantilever beam. The critical flow velocities and the natural frequencies on the neutral stability are determined as a function of gap width. Experimental results are in agreement with analytical ones. The complex frequency of the four lowest modes of the system is calculated in several representative cases as a function of flow velocity. In the case that the beam is clamped at the upstream end, the system is found to lose stability by coupled-mode flutter. On the other hand, in the case that the beam is clamped at the downstream end, the system is found to lose stability by divergence first, and successively lose stability by flutter with increasing flow velocity.
| Original language | English |
|---|---|
| Pages (from-to) | 352-359 |
| Number of pages | 8 |
| Journal | Transactions of the Japan Society of Mechanical Engineers Series C |
| Volume | 58 |
| Issue number | 546 |
| DOIs | |
| Publication status | Published - 1992 Jan 1 |
| Externally published | Yes |
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Keywords
- Cantilever Beam
- Coupled-Mode Flutter
- Leakage Flow
- Stability
- Vibrations
ASJC Scopus subject areas
- Mechanics of Materials
- Mechanical Engineering
- Industrial and Manufacturing Engineering
Cite this
The Stability of a Cantilever Beam Subjected to One-Dimensional Leakage Flow. / Nagakura, Hiroshi; Kaneko, Shigehiko.
In: Transactions of the Japan Society of Mechanical Engineers Series C, Vol. 58, No. 546, 01.01.1992, p. 352-359.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The Stability of a Cantilever Beam Subjected to One-Dimensional Leakage Flow
AU - Nagakura, Hiroshi
AU - Kaneko, Shigehiko
PY - 1992/1/1
Y1 - 1992/1/1
N2 - The stability of a cantilever beam subjected to one-dimensional leakage flow is investigated. The motion of such a beam is expressed as the sum of the first few eigenfunctions of a cantilever beam. The critical flow velocities and the natural frequencies on the neutral stability are determined as a function of gap width. Experimental results are in agreement with analytical ones. The complex frequency of the four lowest modes of the system is calculated in several representative cases as a function of flow velocity. In the case that the beam is clamped at the upstream end, the system is found to lose stability by coupled-mode flutter. On the other hand, in the case that the beam is clamped at the downstream end, the system is found to lose stability by divergence first, and successively lose stability by flutter with increasing flow velocity.
AB - The stability of a cantilever beam subjected to one-dimensional leakage flow is investigated. The motion of such a beam is expressed as the sum of the first few eigenfunctions of a cantilever beam. The critical flow velocities and the natural frequencies on the neutral stability are determined as a function of gap width. Experimental results are in agreement with analytical ones. The complex frequency of the four lowest modes of the system is calculated in several representative cases as a function of flow velocity. In the case that the beam is clamped at the upstream end, the system is found to lose stability by coupled-mode flutter. On the other hand, in the case that the beam is clamped at the downstream end, the system is found to lose stability by divergence first, and successively lose stability by flutter with increasing flow velocity.
KW - Cantilever Beam
KW - Coupled-Mode Flutter
KW - Leakage Flow
KW - Stability
KW - Vibrations
UR - http://www.scopus.com/inward/record.url?scp=84996000799&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84996000799&partnerID=8YFLogxK
U2 - 10.1299/kikaic.58.352
DO - 10.1299/kikaic.58.352
M3 - Article
VL - 58
SP - 352
EP - 359
JO - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
JF - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
SN - 0387-5024
IS - 546
ER -