TY - JOUR
T1 - Tooth profile modification based on lateral- torsional-rocking coupled nonlinear dynamic model of gear system
AU - Liu, Hui
AU - Zhang, Chen
AU - Xiang, Chang L.
AU - Wang, Cheng
N1 - Publisher Copyright:
© 2016
PY - 2016/11/1
Y1 - 2016/11/1
N2 - In this paper, the influence of tooth profile modification on the vibration of a single gear is studied. Considering geometric eccentricity, gyroscopic moment, teeth to the partial load torque and backlash, a 10 degree of freedom (DOF) lateral-torsional-rocking coupled nonlinear dynamic model of a single gear system is proposed. Considering actual motion state and tooth profile modification, stiffness of the meshing model was studied using an analytical method. Results show influence of the modification amount with different modification types and different modification length on dynamic load. For the case of different modification lengths and modification types, with increasing modification amount, profile of dynamic load coefficient follows a ‘V’ type pattern. An optimal modification amount can be determined, where dynamic load of gear can be minimized. At the same time, when modification amount exceeds a certain critical value, dynamic load for modified gear was higher than the dynamic load for gear without modification. The optimum modification can effectively slow mutation of meshing stiffness and reduce the dynamic load of gear; the meshing force amplitude of modification gear is decreased significantly in the high order frequency, while the impact load caused by the alternation of single and double teeth is slowed down, and contact rate is basically unchanged.
AB - In this paper, the influence of tooth profile modification on the vibration of a single gear is studied. Considering geometric eccentricity, gyroscopic moment, teeth to the partial load torque and backlash, a 10 degree of freedom (DOF) lateral-torsional-rocking coupled nonlinear dynamic model of a single gear system is proposed. Considering actual motion state and tooth profile modification, stiffness of the meshing model was studied using an analytical method. Results show influence of the modification amount with different modification types and different modification length on dynamic load. For the case of different modification lengths and modification types, with increasing modification amount, profile of dynamic load coefficient follows a ‘V’ type pattern. An optimal modification amount can be determined, where dynamic load of gear can be minimized. At the same time, when modification amount exceeds a certain critical value, dynamic load for modified gear was higher than the dynamic load for gear without modification. The optimum modification can effectively slow mutation of meshing stiffness and reduce the dynamic load of gear; the meshing force amplitude of modification gear is decreased significantly in the high order frequency, while the impact load caused by the alternation of single and double teeth is slowed down, and contact rate is basically unchanged.
KW - Gear system
KW - Meshing stiffness
KW - The nonlinear dynamic model
KW - Tooth profile modification
UR - http://www.scopus.com/inward/record.url?scp=84983486826&partnerID=8YFLogxK
U2 - 10.1016/j.mechmachtheory.2016.07.013
DO - 10.1016/j.mechmachtheory.2016.07.013
M3 - Article
AN - SCOPUS:84983486826
SN - 0094-114X
VL - 105
SP - 606
EP - 619
JO - Mechanism and Machine Theory
JF - Mechanism and Machine Theory
ER -