Co-rotational dynamic analysis of flexible beams

Abstract

The dynamic analysis of beams undergoing large deflections are studied in this work. For simplicity and better undestanding of the basic concepts, we focus attention on two-dimensional analysis of beams. The Euler-Bernoulli hypothesis is employed with the beam undergoing large rotations but small strains. We extend the consistent co-rotational static analysis to dynamic analysis and obtain transient responses of the beam. This paper includes several examples illustrating the implementation and the performance of the co-rotational technique.