Free Vibration Analysis of Rotating Euler–Bernoulli Beam with Exponentially Varying Cross-Section by Differential Transform Method
Autor(en): |
Mostafa Nourifar
Ali Keyhani Ahmad Aftabi Sani |
---|---|
Medium: | Fachartikel |
Sprache(n): | Englisch |
Veröffentlicht in: | International Journal of Structural Stability and Dynamics, Februar 2018, n. 2, v. 18 |
Seite(n): | 1850024 |
DOI: | 10.1142/s0219455418500244 |
Abstrakt: |
In this paper, the free vibration analysis of non-uniform rotating Euler–Bernoulli beam is carried out. It is assumed that the beam has exponentially decaying circular cross-section. In order to solve the problem, the differential transform method (DTM) is utilized. Based on our knowledge, we claim that the recurrence relation presented herein is an elaborate recurrence relation which has been obtained for ordinary differential equations. Non-dimensional natural frequencies of the beam are obtained and tabulated for different values of the beam parameters such as taper ratio and rotating speed. Furthermore, the finite element method (FEM) is employed to solve the problem. Comparison of the results obtained by DTM and FEM indicates the accuracy of proposed solutions. |
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Datenseite - Reference-ID
10352282 - Veröffentlicht am:
14.08.2019 - Geändert am:
14.08.2019