Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
802092 | Mechanism and Machine Theory | 2011 | 7 Pages |
Dynamic stability of the torsional vibrations of a shaft system consisting of two torsionally elastic shafts interconnected through a Hooke's joint is investigated by means of a two degree-of-freedom model. The linearized equations of motion are shown to consist of a set of Mathieu–Hill equations and stability of their solutions is analyzed by means of a monodromy matrix method. Results are presented in the form of stability charts constructed on various parameter planes visualizing the effect of various selected pairs of system parameters on the stability.
► Dynamic stability of the torsional vibrations of a shaft system interconnected through a Hooke's joint is investigated. ► Stability of the system is analyzed by means of a monodromy matrix method. ► Results are presented in the form of stability charts. ► The system may be unsafe at a rotation speed corresponding to the half of the fundamental torsional frequency.