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
DYNAMIC STABILITY OF A COMPLETELY FREE CIRCULAR CYLINDRICAL SHELL SUBJECTED TO A FOLLOWER FORCE
β Scribed by S.-H. PARK; J.-H. KIM
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 262 KB
- Volume
- 231
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
β¦ Synopsis
The dynamic stability of a completely free isotropic circular cylindrical shell under a follower force is investigated. First order shear deformation is included and the axial stress is assumed to be uniformly distributed through the thickness.
A "nite element model of the shell is formulated using a ring element in the circumferential direction and a Lagrangian element in the longitudinal direction. The dynamic stability is studied for various dimensionless lengths and thicknesses. The numerical results for the shells are compared with those of a beam model having equivalent dimensions. The analysis shows that the Rayleigh mode and the Love mode have an e!ect on instability and that the shell structure can be analyzed with a beam model within only a certain range of shell dimensions.
π SIMILAR VOLUMES
A theory is presented to predict the influence of non-linearities associated with the wall of the shell and with the fluid flow on the dynamics of elastic, thin, orthotropic and non-uniform open cylindrical shells submerged and subjected simultaneously to an internal and external fluid. The open she
The intended aim of the paper is to give the experimental veri"cation of the e!ect of non-conservative/follower force on the vibration and stability of cantilevered columns. In place of an ideal tangential force, a sub-tangential force produced by a real solid rocket motor is considered in this pape