ON THE FORESHORTENING EFFECTS OF A ROTATING FLEXIBLE BEAM USING DIFFERENT MODELING METHODS

This paper presents six methods of modeling a flexible beam rotating in the vertical plane. The first three methods, Hamilton's principle, Lagrange's equations for quasi-coordinates, and Newton-Euler equations, give a continuous model. The last three methods, Lagrange's equations, Jou...

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Bibliographic Details
Published inMechanics of structures and machines Vol. 30; no. 1; pp. 83 - 102
Main Authors Piedbœuf, Jean-Claude, Moore, Brian
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.02.2002
Subjects
Beams and girders
Differential equations
Hamiltonians
Model structures
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Summary:This paper presents six methods of modeling a flexible beam rotating in the vertical plane. The first three methods, Hamilton's principle, Lagrange's equations for quasi-coordinates, and Newton-Euler equations, give a continuous model. The last three methods, Lagrange's equations, Jourdain's principle, and Newton-Euler equations, give a discrete model. The main conclusion of the paper is that, if foreshortening is not properly included in the beam model, then different methods give different equations. The paper also discusses several issues concerning symbolic modeling of mechanical structures within Maple. * Communicated by J. McPhee.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0890-5452
1525-612X
DOI:10.1081/SME-120001478