A nonlinear kinematics called the direct strain measure is proposed for large deformation and finite rotation analyses of a two-node Timoshenko beam. The kinematics extracts pure elastic deformations without deriving any virtual frame to describe rigid body motion. Internal force and stiffness matrices are derived to constitute a Newton’s method for finding the solution. Computational results show that the present method is valid for Timoshenko beams whose relative angular displacement in an element is less than 0.5 rad.
ASJC Scopus subject areas
- Aerospace Engineering