The upper bound of the fundamental bending frequency of a rotating uniform Timoshenko beam with general elastically restrained root is derived via Rayleigh's principle. Comparing the upper bound with the results in the existing literature and those obtained by the transfer matrix method reveals that
Dynamic stability of a rotating Timoshenko beam with a flexible root
โ Scribed by B.A.H. Abbas
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 351 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
โฆ Synopsis
The ettects of rotational speed and root flexibilities on the static buckling loads and on the regions of dynamic instability of a Timoshenko beam are investigated by finite element method. Due to the action of rotation, the buckling loads are increased and the beam becomes less sensitive to periodic excitation and due to the action of the rotational root flexibility, the buckling loads are diminished and the beam becomes more sensitive to periodic excitation. It is concluded also that the translational root flexibility has no effect on the static buckling loads and for small values of it the fundamental region of dynamic instability remains unchanged.
๐ SIMILAR VOLUMES
## Abstract This paper is concerned with wellโposedness results for a mathematical model for the transversal vibrations of a twoโdimensional hybrid elastic structure consisting of a rectangular ReissnerโMindlin plate with a Timoshenko beam attached to its free edge. The model incorporates linear dy
The governing equations for linear vibration of a rotating Timoshenko beam are derived by the d&Alembert principle and the virtual work principle. In order to capture all inertia e!ect and coupling between extensional and #exural deformation, the consistent linearization of the fully geometrically n
This work considers a group of problems associated with rotating Timoshenko beams. The beam is not assumed to be hubclamped, i.e. the axis of rotation does not necessarily pass through the beam's clamped end. Cases of physical interest involving off-clamped beams include wobbling rotors, impellor bl
The dynamic stability of a free-free Timoshenko beam with a concentrated mass is analyzed when a pulsating follower force P 0 + P 1 cos Vt is applied. The discretized equation of motion is obtained by the finite element method, and then the method of multiple scales is adopted to investigate the dyn