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Nonlinear dynamics of harmonic drive considering pitch deviation
Pitch deviation as a short periodic error affects the transmission stability of harmonic drive. A measurement method is proposed to obtain the pitch deviation of a harmonic drive based on extraction of tooth profile indexing information with discrete point datum of tooth profile projection. The meas...
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Published in: | Meccanica (Milan) 2022-11, Vol.57 (11), p.2885-2902 |
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Main Authors: | , , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | Pitch deviation as a short periodic error affects the transmission stability of harmonic drive. A measurement method is proposed to obtain the pitch deviation of a harmonic drive based on extraction of tooth profile indexing information with discrete point datum of tooth profile projection. The measured pitch deviations are introduced to a simplified nonlinear dynamic equation ignoring the flexible deformation of flexspline. The transition process of nonlinear dynamics of the system with the change of comprehensive transmission error, torque and meshing frequency are investigated and compared the dynamic characteristics with the pitch deviation to those without pitch deviation. The characteristics of neighboring periodic motions appeared in the system which affect the transmission stability are discussed. Saddle-node bifurcation, doubling periodic bifurcation and inverse doubling periodic bifurcation are found in the system and their influences on the system motion are investigated. The exploration of the dynamic characteristics of harmonic drive from the perspective of nonlinear dynamics is helpful in the selection of system parameters for improving the transmission stability of harmonic drive. |
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ISSN: | 0025-6455 1572-9648 |
DOI: | 10.1007/s11012-022-01605-6 |