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

• Published in: Journal of sound and vibration Vol. 243; no. 3; pp. 565 - 576
• Main Authors: OMAR, M.A., SHABANA, A.A.
• Format: Journal Article
• Language: English
• 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

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...