A DYNAMIC GREEN FUNCTION FORMULATION FOR THE RESPONSE OF A BEAM STRUCTURE TO A MOVING MASS

A dynamic Green function approach is used to determine the response of a simply supported Bernoulli–Euler beam of finite length subject to a moving mass traversing its span. The proposed method produces a simple matrix expression for the deflection of the beam. The efficiency and simplicity of the m...

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Bibliographic Details
Published inJournal of sound and vibration Vol. 210; no. 3; pp. 295 - 306
Main Authors Foda, M.A., Abduljabbar, Z.
Format Journal Article
LanguageEnglish
Published London Elsevier Ltd 26.02.1998
Elsevier
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
Response function
Vibrations (mechanical)
Moving load
Numerical methods
Beams and girders
Simple support
Green's function
Moving body
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Summary:A dynamic Green function approach is used to determine the response of a simply supported Bernoulli–Euler beam of finite length subject to a moving mass traversing its span. The proposed method produces a simple matrix expression for the deflection of the beam. The efficiency and simplicity of the method is demonstrated by several numerical examples. The effect of various parameters on the dynamic response is investigated.
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.1997.1334