Development of a Shear Deformable Element Using the Absolute Nodal Coordinate Formulation
Abstract
A two-dimensional shear-deformable beam element is developed in this investigation for the analysis of the large rotation and large deformation. Using the absolute nodal coordinate formulation and a continuum mechanics approach, the assumption of Euler-Bernoulli and Timoshenko beam theories are relaxed. The effect of the shear deformation is accounted for without the need for introducing Timoshenko's shear coefficient By using the absolute coordinates, the nonlinear strain-displacement relationships are used to define a relatively simple expression for the elastic forces, while the mass matrix of the beam remains constant. As a consequence, the centrifugal and Coriolis forces are identically equal to zero. Surprisingly, the more general model developed in this investigation leads to a significant saving in computer time as compared to non-shear deformable models presented in previous investigations.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 2000
- Accession Number
- ADA385838
Entities
People
- Ahmed A. Shabana
- Mohamed A. Omar
Organizations
- University of Illinois at Chicago