TECHNICAL PAPERS
Apr 1, 1990

Vibration of Thick Elastic and Viscoelastic Tubes. I: Harmonic Response

Publication: Journal of Engineering Mechanics
Volume 116, Issue 4

Abstract

The harmonic response of an infinitely long thick elastic tube is considered. Exact displacement and stress fields for steady‐state vibration are developed. Stiffness equations are derived, relating the internal and external boundary tractions and displacements. Assembly of these tube stiffness equations is used to evaluate the response of laminated tubular structures. The formulation is extended so that the behavior of viscoelastic tubes can also be determined. Comparisons are made with solutions based on thin‐shell theory, to assess how accurately shell theory models thick‐tube vibration. Distributions of displacement and normal stress through a laminated tubular structure are studied. The response of a tube with an elastic core and a viscoelastic tube also are investigated.

Get full access to this article

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

References

1.
Armenakas, A. E., and Herrmann, G. (1963). “Vibrations of infinitely long cylindrical shells under initial stress.” AIAA J., 1(1), 100–106.
2.
Gazis, D. C. (1959). “Three‐dimensional investigation of the propagation of waves in hollow circular cylinders.” J. Acoust. Soc. Amer., 31(5), 568–578.
3.
Greenspon, J. E. (1957). “Flexural vibrations of a thick‐walled circular cylinder according to the exact theory of elasticity.” J. Aerospace Sci., 27, 1365–1373.
4.
Hutchinson, J. R. (1980). “Vibrations of solid cylinders.” J. Appl. Mech., 47, Dec., 901–907.
5.
Love, A. E. H. (1944). A treatise on the mathematical theory of elasticity. Fourth Ed., Dover, New York, N.Y.
6.
Novak, M., and Hindy, A. (1978). “Dynamic response of buried piplines.” Proc., Sixth European Conf. on Earthquake Engrg., Dubrovnik, Yugoslavia, 2, 533–540.
7.
Novak, M., and Hindy, A. (1980). “Earthquake response of buried insulated pipes.” J. Engrg. Mech. Div., ASCE, 106(6), 1135–1149.
8.
Strutt, J. W. (Lord Rayleigh). (1945). The theory of sound. 2, Dover, New York, N.Y.
9.
Reissner, E. (1955). “On transverse vibrations of thin shallow elastic shells.” Q. Appl. Math., 13(2), 169–176.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 116Issue 4April 1990
Pages: 928 - 942

History

Published online: Apr 1, 1990
Published in print: Apr 1990

Permissions

Request permissions for this article.

Authors

Affiliations

Ian D. Moore, Member, ASCE
Sr. Lect., Dept. of Civ. Engrg. and Surveying, The Univ. of Newcastle, Rankin Dr., Newcastle, NSW 2308, Australia

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