Dynamic analysis of a beam resting on an elastic half-space with inertial properties

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Title: Dynamic analysis of a beam resting on an elastic half-space with inertial properties
Authors: Laefer, Debra F.
Guenfoud, Salah
Bosakov, Sergey V.
Permanent link: http://hdl.handle.net/10197/3525
Date: Aug-2009
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.
Funding Details: Not applicable
Type of material: Journal Article
Publisher: Elsevier
Copyright (published version): 2009 ElsevierLtd.
Keywords: Green’s function;Ground inertia;Beam;Eigesnfrequencie;Eigenshapes;Dynamic response
Subject LCSH: Green's functions
Inertia (Mechanics)
Eigenvectors
Girders
Structural dynamics
DOI: 10.1016/j.soildyn.2009.01.005
Language: en
Status of Item: Peer reviewed
Appears in Collections:Critical Infrastructure Group Research Collection
Civil Engineering Research Collection

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