Research Article
Apr 1963
Dynamic Response of Lattice-Type Structures
This article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYAuthors: Bruce E. Berger and Sidney Shore, F.ASCEAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 89, Issue 2
Abstract
The dynamic response of lattice-type structures, assuming small displacements, may be described by the following set of four matrix equations: (1) Equation of consistent displacements; (2) joint equation of equilibrium; (3) force displacement equation; and (4) equation of support. The response function or indicial flexibility matrix is formed of terms that are solutions of the partial differential equations describing the transverse, torsional, and longitudinal vibrations of uniform, slender beams. The set of matrix equations becomes a set of linear, algebraic equations when transformed to the Laplace domain. Solutions that are carried out in the Laplace domain yield expressions for displacements, rotations, end moments, and forces in terms of the transform variable. Inversions are carried out in terms of series expansions of orthogonal functions. External damping, together with forcing function cut-off, is introduced to assure the uniform convergence of the series for all values of time. The application of the equations to the externally damped cantilever beam and to the unsymmetrical portal verifies the validity of the method.
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 89 • Issue 2 • April 1963
Pages: 47 - 70
Copyright
© 1963 American Society of Civil Engineers.
History
Published in print: Apr 1963
Published online: Feb 3, 2021
Permissions
Request permissions for this article.
Authors
Affiliations
Bruce E. Berger
Asst. Prof. of Applied Mechanics, Vanderbilt Univ., Nashville, Tenn.
Sidney Shore, F.ASCE
Chmn. of the Graduate Div. of Civ. Engrg., Univ. of Pennsylvania, Philadelphia, Pa.
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.