The dynamic analysis of flexible beams with large deformations is difficult and few studies have been performed. In this paper, the vibration analysis of several very flexible beams with large deflections using the finite element approach is studied. The examples were a cantilever beam and rotating
Co-rotational dynamic analysis of flexible beams
β Scribed by K. Behdinan; M.C. Stylianou; B. Tabarrok
- Book ID
- 104267824
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 789 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0045-7825
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β¦ Synopsis
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.
π SIMILAR VOLUMES
A co-rotational total Lagrangian finite element formulation for the geometrically nonlinear dynamic analysis of spatial Euler beam with large rotations but small strain, is presented. The nodal coordinates, displacements, rotations, velocities, accelerations, and the equations of motion of the stru
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 periodi