A method using element-fixed moving reference frames is introduced to compute the behavior of highly deformable bodies undergoing large and fast rotations. The use of reference frames attached to each finite element allows the correct computation of overall large deformations and the characterization of rigid-flexible coordinate coupling through the systematic incorporation of higher-order kinematic terms and time derivatives of coordinate transformation matrices. The approach is applied to planar rotating Bernoulli beams of various flexural rigidities and the results are compared to those obtained by other methods and ABAQUS. a nonlinear finite element package. The results indicate excellent agreement with published data and superior efficiency of compulation.
ASJC Scopus subject areas
- Civil and Structural Engineering
- Modeling and Simulation
- Materials Science(all)
- Mechanical Engineering
- Computer Science Applications