Abstract
Rotating beams are extensively used in different mechanical and aeronautical installations. In this paper, a systematic approach is presented in order to solve the eigenvalues problem through the Timoshenko beam theory. The equations of motion are deduced by using the Hamiltonian approach. These equations are then solved by the differential transform method (DTM). The obtained numerical results using DTM are compared with the exact solution. Natural frequencies are determined, and the effects of the rotational speed and axial force on the natural frequencies are investigated. Results show high accuracy and efficiency of the differential transform method.
| Original language | English |
|---|---|
| Article number | 012027 |
| Journal | IOP Conference Series: Materials Science and Engineering |
| Volume | 576 |
| Issue number | 1 |
| DOIs | |
| State | Published - 7 Aug 2019 |
| Event | 2019 International Conference on Advances in Materials, Mechanical and Manufacturing, AMMM 2019 - Beijing, China Duration: 22 Mar 2019 → 24 Mar 2019 |
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