The stability of a cantilever beam with a tip mass resting on an elastic foundation of the Winkler type and subjected to a follower force at the free end is studied by the finite element method. Instead of the conventional trial-and-error technique, the technique of eigenvalue sensitivity is introduced to rapidly obtain the critical flutter load. The influence of some parameters, such as the modulus of the elastic foundation, the ratio of the cantilever beam mass to the tip mass, and the rotatory inertia of the tip mass, on the critical flutter is investigated. Numerical examples are illustrated to show the rapid convergence rate of the iterative technique proposed in this paper. The excellent agreement of present solutions with the available results is also demonstrated.
All Science Journal Classification (ASJC) codes
- Aerospace Engineering