TECHNICAL PAPERS
Oct 1, 1987

Natural Frequencies of Thin‐Walled Bars of Open Cross Section

Publication: Journal of Engineering Mechanics
Volume 113, Issue 10

Abstract

The natural vibration frequencies of thin‐walled bars of open cross section are studied, with particular emphasis on the influence of asymmetry and destabilizing forces on the interaction between various modes. It is concluded that interactive vibrations are induced by both asymmetry and destabilizing forces. The validity of the solutions obtained is confirmed by the fact that the lowest natural frequencies reduce to zero when the applied forces are equal to the static critical forces for instability in the corresponding modes.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Bolotin, V. V. (1963). Nonconservative Problems in the Theory of Elastic Stability. Pergamon Press.
2.
Clough, R. W., and Penzien, J. (1975). Dynamics of Structures. McGraw‐Hill, New York, N.Y.
3.
Roberts, T. M. (1981). “Second order strains and instability of thin walled bars of open cross‐section.” Int. J. Mech. Sci. 23, 297–306.
4.
Roberts, T. M., and Azizian, Z. G. (1983). “Influence of pre‐buckling displacements on the elastic critical loads of thin walled bars of open cross‐section.” Int. J. Mech. Sci. 25(2), 93–104.
5.
Roberts, T. M., and Azizian, Z. G. (1983). “Instability of thin walled bars.” J. Engrg. Mech., ASCE, 109(3), 781–794.
6.
Roberts, T. M., and Azizian, Z. G. (1984). “Instability of monosymmetric I‐beams.” J. Struct. Engrg., ASCE, 110(6), 1415–1419.
7.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of Elastic Stability. McGraw‐Hill, New York, N.Y.
8.
Timoshenko, S. P., Young, D. H., and Weaver, W. (1974). Vibration Problems in Engineering. John Wiley & Sons, New York, N.Y.
9.
Virgin, L. N. (1985). “The dynamics of symmetric post‐buckling.” Int. J. Mech. Sci. 27(4), 235–248.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 113Issue 10October 1987
Pages: 1584 - 1593

History

Published online: Oct 1, 1987
Published in print: Oct 1987

Permissions

Request permissions for this article.

Authors

Affiliations

T. M. Roberts
Lect., Dept. Civ. and Struct. Engrg., Univ. College, Cardiff CF2 1TA, Wales, U.K.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share