000 02358aab a2200265 4500
008 240918b20082008|||mr||| |||| 00| 0 eng d
022 _a0954-4062
100 _aS Dhouib
_9883167
100 _aR Hbaieb
_9883168
100 _aM Haddar
_9883169
100 _aF Chaari
_9883170
100 _aM S Abbes
_9883171
100 _aT Fakhfakh
_9883172
245 _aFree vibration characteristics of compound planetary gear train sets
300 _a1389-1402 p.
520 _aIn this study, a plane model of a compound planetary gear train (CPGT) is proposed in order to study its free vibration characteristics. Two translations and one rotation are considered for each element (sun, carrier, ring-1, ring-2, and planets) of the CPGT. The contact between the teeth in mesh is modelled by linear springs with stiffness called gearmesh stiffness. The phasing between these stiffness is taken into account. Using Lagrange formulation, the equation of motion is derived. Starting from the eigenvalue problem of the system, the influence of the planets’ number and position, and the effect of the gyroscopic phenomena on the free vibration of the CPGT are studied. The natural modes are classified into three groups: translational (the carrier, ring 1, and sun have pure modal translational deflection with no rotation), rotational (the carrier, ring 1, and sun have pure modal rotational deflection with no translation), and planets’ modes (only the planets have a modal deflection). It was found that the change of the planets’ angular position does not affect this classification. On the other hand, the study of the influence of the carrier rotation speed show that the gyroscopic effect separates the repeated translational modes into distinct ones. The obtained results are much important in the design process in order to avoid critical operating conditions which lead to undesirable vibrations.
650 _aCompound Planetary Gear Train
_9883173
650 _aModal Analysis
_9171717
650 _aNatural Frequencies
_9701043
650 _aNatural Modes
_9883174
650 _aMode Shapes
_9883175
773 0 _x09544062
_dLondon, U.K. : Professional Engineering Publishing
_tJournal of Mechanical Engineering Science: Proceedings of the I Mech E Part C
856 _uhttps://doi.org/10.1243/09544062JMES870
942 _2ddc
_n0
_cART
_o14993
_pMr. Muhammad Rafique Al Haj Rajab Ali (Late)
999 _c815366
_d815366