Non-conservative instability of a timoshenko beam resting on winkler elastic foundation

Sen-Yung Lee, C. C. Yang

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The transfer matrix method is used to investigate the influence of a Winkler elastic foundation on the non-conservative instability of uniform Timoshenko beams. It is found that the critical flutter load for a cantilever Timoshenko beam subjected to an end-concen-trated or linearly distributed tangential follower force will first decrease as the elastic foundation modulus is increased and, as the elastic foundation modulus increases beyond the corresponding critical value, which corresponds to the lowest critical flutter load, it will increase instead. It is also observed that when the elastic foundation modulus is large enough, the critical flutter load for a cantilever Timoshenko beam can be greater than that of a Bernoulli-Euler beam, and there exists a corresponding critical turning point for the critical flutter load. At this critical turning point, the instability mechanism changes. The instability mechanisms for a beam subjected to end concentrated and linearly distributed tangential follower force are different.

Original languageEnglish
Pages (from-to)177-184
Number of pages8
JournalJournal of Sound and Vibration
Volume162
Issue number1
DOIs
Publication statusPublished - 1993 Mar 22

Fingerprint

Timoshenko beams
flutter
Cantilever beams
Euler-Bernoulli beams
Transfer matrix method
matrix methods

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering

Cite this

@article{0eaac9549ec74f1380248e107eedf5e2,
title = "Non-conservative instability of a timoshenko beam resting on winkler elastic foundation",
abstract = "The transfer matrix method is used to investigate the influence of a Winkler elastic foundation on the non-conservative instability of uniform Timoshenko beams. It is found that the critical flutter load for a cantilever Timoshenko beam subjected to an end-concen-trated or linearly distributed tangential follower force will first decrease as the elastic foundation modulus is increased and, as the elastic foundation modulus increases beyond the corresponding critical value, which corresponds to the lowest critical flutter load, it will increase instead. It is also observed that when the elastic foundation modulus is large enough, the critical flutter load for a cantilever Timoshenko beam can be greater than that of a Bernoulli-Euler beam, and there exists a corresponding critical turning point for the critical flutter load. At this critical turning point, the instability mechanism changes. The instability mechanisms for a beam subjected to end concentrated and linearly distributed tangential follower force are different.",
author = "Sen-Yung Lee and Yang, {C. C.}",
year = "1993",
month = "3",
day = "22",
doi = "10.1006/jsvi.1993.1110",
language = "English",
volume = "162",
pages = "177--184",
journal = "Journal of Sound and Vibration",
issn = "0022-460X",
publisher = "Academic Press Inc.",
number = "1",

}

Non-conservative instability of a timoshenko beam resting on winkler elastic foundation. / Lee, Sen-Yung; Yang, C. C.

In: Journal of Sound and Vibration, Vol. 162, No. 1, 22.03.1993, p. 177-184.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Non-conservative instability of a timoshenko beam resting on winkler elastic foundation

AU - Lee, Sen-Yung

AU - Yang, C. C.

PY - 1993/3/22

Y1 - 1993/3/22

N2 - The transfer matrix method is used to investigate the influence of a Winkler elastic foundation on the non-conservative instability of uniform Timoshenko beams. It is found that the critical flutter load for a cantilever Timoshenko beam subjected to an end-concen-trated or linearly distributed tangential follower force will first decrease as the elastic foundation modulus is increased and, as the elastic foundation modulus increases beyond the corresponding critical value, which corresponds to the lowest critical flutter load, it will increase instead. It is also observed that when the elastic foundation modulus is large enough, the critical flutter load for a cantilever Timoshenko beam can be greater than that of a Bernoulli-Euler beam, and there exists a corresponding critical turning point for the critical flutter load. At this critical turning point, the instability mechanism changes. The instability mechanisms for a beam subjected to end concentrated and linearly distributed tangential follower force are different.

AB - The transfer matrix method is used to investigate the influence of a Winkler elastic foundation on the non-conservative instability of uniform Timoshenko beams. It is found that the critical flutter load for a cantilever Timoshenko beam subjected to an end-concen-trated or linearly distributed tangential follower force will first decrease as the elastic foundation modulus is increased and, as the elastic foundation modulus increases beyond the corresponding critical value, which corresponds to the lowest critical flutter load, it will increase instead. It is also observed that when the elastic foundation modulus is large enough, the critical flutter load for a cantilever Timoshenko beam can be greater than that of a Bernoulli-Euler beam, and there exists a corresponding critical turning point for the critical flutter load. At this critical turning point, the instability mechanism changes. The instability mechanisms for a beam subjected to end concentrated and linearly distributed tangential follower force are different.

UR - http://www.scopus.com/inward/record.url?scp=0027553159&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027553159&partnerID=8YFLogxK

U2 - 10.1006/jsvi.1993.1110

DO - 10.1006/jsvi.1993.1110

M3 - Article

AN - SCOPUS:0027553159

VL - 162

SP - 177

EP - 184

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

SN - 0022-460X

IS - 1

ER -