This paper presents a model for the coupled torsional and lateral vibrations of unbalanced rotors that accounts for the rotor-to-stator rubbing. The system degrees of freedom, obtained using Lagrangian dynamics, are the rotor rigid-body rotation, the rotor torsional deformation and two orthogonal la
Modeling the coupled torsional and lateral vibrations of unbalanced rotors
โ Scribed by B.O. Al-Bedoor
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 455 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0045-7825
No coin nor oath required. For personal study only.
โฆ Synopsis
A model for the coupled torsional and lateral vibrations of an unbalanced rotor is developed. The equations of motion, obtained using Lagrangian dynamics, showed inertial coupling and nonlinear interaction between the rotor torsional and lateral vibrations. A softening eect of the rotor torsional stiness has appeared. This eect and some of the nonlinear interaction eects have appeared, for the ยฎrst time in this model, due to treating the torsional angle as an individual motion. Simulation results showed energetic interaction between the rotor lateral and torsional vibrations. Responses at 1X and 3X in the torsional vibration signal and 1X and 2X in the lateral vibration signals have appeared.
๐ SIMILAR VOLUMES
The misalignment of a gear coupling in a multirotor system is an important problem; it can cause various faults. In the present work the non-linear coupled lateral torsional vibration model of rotor-bearing-gear coupling system is developed based on the engagement conditions of gear couplings. Theor
For analyzing the coupled lateral and torsional vibrations of asymmetric rotor-bearing system, an extended transfer matrix extended from one of the symmetric system is developed. Rather than the conventional โlumped systemโ, the asymmetric rotating shaft is modeled by the Timoshenko beam in a contin
A dynamic model for a typical elastic blade attached to a disk driven by a shaft which is flexible in torsion is presented. The shaft torsional flexibility is lumped in the form of flexible coupling that is usually employed in rotor systems. The Lagrangian approach in conjunction with the finite ele