A TWO-DIMENSIONAL SHEAR DEFORMABLE BEAM FOR LARGE ROTATION AND DEFORMATION PROBLEMS

This investigation develops a model for the elastic forces for 2D beam elements that accounts for shear deformation by using a general continuum mechanics approach without introducing a local element coordinate system. This new model relaxes the assumptions of Euler-Bernoulli and Timoshenko beam mod...

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Bibliographic Details
Published inJournal of sound and vibration Vol. 243; no. 3; pp. 565 - 576
Main Authors OMAR, M.A., SHABANA, A.A.
Format Journal Article
LanguageEnglish
Published London Elsevier Ltd 07.06.2001
Elsevier
Subjects
Beams, plates and shells
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Structural mechanics (beam, string...)
Theory and numerical methods
Constitutive equation
Shear test
Stiffness matrix
High strain
Cross section
Two dimensional structure
Beam theory
Kinematics
Displacement field
Mass matrix
Beam(mechanics)
Euler-Bernoulli beam
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Summary:This investigation develops a model for the elastic forces for 2D beam elements that accounts for shear deformation by using a general continuum mechanics approach without introducing a local element coordinate system. This new model relaxes the assumptions of Euler-Bernoulli and Timoshenko beam models and does not require the use of a shear coefficient. (Author)
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.2000.3416