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Dynamic analysis of a beam resting on an elastic half-space with inertial properties
Date Issued
2009-08
Date Available
2012-02-22T15:00:44Z
Abstract
This work gives a semi-analytical approach for the dynamic analysis of beams and plates rest-ing on an elastic half-space with inertial properties. Such calculations have been associated with significant mathematical challenges, often leading to unrealizable computing processes. Therefore, this paper presents a detailed analysis of Green’s function defining surface displacements of such a space in the contact zone with structures, which allows determination of reactive forces and other physical responses. The obtained solutions can be applied to (i) study dynamic interaction between soil and structures, (ii) determine transient wave fields caused by a seismic source, and (iii) assess numerical computations with different numerical methods programs. Natural frequencies, natural shapes, and the dynamic response of a beam due to external harmonic excitation are determined. Eigenfrequencies and Eigenshapes are presented. Validation with a Boussinesq problem illustrates the inertia effect on the results of the dynamic analysis.
Sponsorship
Not applicable
Type of Material
Journal Article
Publisher
Elsevier
Journal
Soil Dynamics & Earthquake Engineering
Volume
29
Issue
8
Start Page
1198
End Page
1207
Copyright (Published Version)
2009 ElsevierLtd.
Subject – LCSH
Green's functions
Inertia (Mechanics)
Eigenvectors
Girders
Structural dynamics
Web versions
Language
English
Status of Item
Peer reviewed
ISSN
0267-7261
This item is made available under a Creative Commons License
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