Research Article
Apr 1966
Vibration of a Radially Loaded Spherical Shell
Author: Carl F. LongAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 92, Issue 2
Abstract
A set of linearized equations is developed, based on the theory of finite elasticity consistent with the assumptions of classical shell theory. They are used to predict the effect of radial loading on the frequencies of a complete, thin, spherical shell. Inducing an initial compressive stress in the shell by radial preload decreases the lowest transverse frequency by an amount dependent on the magnitude of the initial stress and the classical buckling load. The higher transverse frequency predicted by classical shell theory as well as the frequencies of the pure radial and torsional modes are virtually independent of radial pre-load.
Get full access to this article
View all available purchase options and get full access to this article.
Information & Authors
Information
Published In
Journal of the Engineering Mechanics Division
Volume 92 • Issue 2 • April 1966
Pages: 235 - 250
Copyright
© 1966 American Society of Civil Engineers.
History
Published in print: Apr 1966
Published online: Feb 3, 2021
Permissions
Request permissions for this article.
Authors
Affiliations
Carl F. Long
Assoc. Prof. of Civ. Engrg., Thayer Sch. of Engrg., Dartmouth Coll., Hanover, N. H.
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.
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 Item saved, go to cart 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.
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.
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 Item saved, go to cart 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.
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.