Research Article
Oct 1972
Stability and Boundedness via Liapunov's Direct Method
Publication: Journal of the Engineering Mechanics Division
Volume 98, Issue 5
Abstract
An extension of Liapunov's direct method is employed to investigate stability and boundedness of discrete structural systems. Bounds on the response of structures with dynamic loading, including parametric excitation, are established in explicit form. These bounds are specialized to provide a stability criterion for elastically end-restrained columns under parametric loading and response bounds for systems under forced vibration.
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 98 • Issue 5 • October 1972
Pages: 1273 - 1284
Copyright
© 1972 American Society of Civil Engineers.
History
Published in print: Oct 1972
Published online: Feb 3, 2021
Permissions
Request permissions for this article.
Authors
Affiliations
Siegfried M. Holzer, AM.ASCE
Virginia Polytechnic Inst. and State Univ., Blacksburg, VA, formerly, Asst. Prof. of Civ. Engrg., Univ. of Illinois, Urbana, Ill.
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 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.