Research Article
Jun 1972
Modal Analysis of Random Structural Systems
Authors: T.K. Hasselman and Gary C. Hart, AM.ASCEAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 98, Issue 3
Abstract
This paper presents a method for computing the statistical variance of a structural system's eigenvalues and eigenvectors by component mode synthesis. The method relies on a modal summation to obtain engenvector derivatives where the contributions of individual modes are shown to diminish in importance as their natural frequencies become further separated from that of the eigenvector being differentiated. The convergence of mean eigenvalues and eigenvectors and their standard deviations is evaluated as the number of component modes used in the syntheses is increased. It is found that convergence proceeds in that order, with the standard deviations of eigenvectors requiring the largest number of modes for convergence. Numerical investigations show that the standard deviations of eigenvectors tend to converge for the first several modes when only a small fraction of the total number of component modes are taken into account. The dependence of convergence on the distribution of randomness and its spatial correlation is considered.
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 3 • June 1972
Pages: 561 - 579
Copyright
© 1972 American Society of Civil Engineers.
History
Published in print: Jun 1972
Published online: Feb 3, 2021
Permissions
Request permissions for this article.
Authors
Affiliations
T.K. Hasselman
Grad. Student, Univ. of California, Los Angeles, Calif., and Member of Tech. Staff, TRW Systems, Redondo Beach, Calif.
Gary C. Hart, AM.ASCE
Asst. Prof. of Engrg., Mechanics and Structures Dept., Univ. of California, Los Angeles, Calif.
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.