000 | 02358aab a2200265 4500 | ||
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008 | 240918b20082008|||mr||| |||| 00| 0 eng d | ||
022 | _a0954-4062 | ||
100 |
_aS Dhouib _9883167 |
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100 |
_aR Hbaieb _9883168 |
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100 |
_aM Haddar _9883169 |
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100 |
_aF Chaari _9883170 |
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100 |
_aM S Abbes _9883171 |
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100 |
_aT Fakhfakh _9883172 |
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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 |
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650 |
_aModal Analysis _9171717 |
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650 |
_aNatural Frequencies _9701043 |
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650 |
_aNatural Modes _9883174 |
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650 |
_aMode Shapes _9883175 |
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773 | 0 |
_x09544062 _dLondon, U.K. : Professional Engineering Publishing _tJournal of Mechanical Engineering Science: Proceedings of the I Mech E Part C |
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856 | _uhttps://doi.org/10.1243/09544062JMES870 | ||
942 |
_2ddc _n0 _cART _o14993 _pMr. Muhammad Rafique Al Haj Rajab Ali (Late) |
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999 |
_c815366 _d815366 |