The Stability of a Cantilever Beam Subjected to One-Dimensional Leakage Flow

Hiroshi Nagakura, Shigehiko Kaneko

Research output: Contribution to journalArticle

20 Citations (Scopus)

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 languageEnglish
Pages (from-to)352-359
Number of pages8
JournalTransactions of the Japan Society of Mechanical Engineers Series C
Volume58
Issue number546
DOIs
Publication statusPublished - 1992 Jan 1
Externally publishedYes

Fingerprint

Cantilever beams
Flow velocity
Flutter (aerodynamics)
Eigenvalues and eigenfunctions
Natural frequencies

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 journalArticle

@article{6bcd6eeb8fe4446b867ce7e6616fe766,
title = "The Stability of a Cantilever Beam Subjected to One-Dimensional Leakage Flow",
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.",
keywords = "Cantilever Beam, Coupled-Mode Flutter, Leakage Flow, Stability, Vibrations",
author = "Hiroshi Nagakura and Shigehiko Kaneko",
year = "1992",
month = "1",
day = "1",
doi = "10.1299/kikaic.58.352",
language = "English",
volume = "58",
pages = "352--359",
journal = "Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C",
issn = "0387-5024",
publisher = "Japan Society of Mechanical Engineers",
number = "546",

}

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 -