Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-03-01

Journal: JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY

Included Journals: EI、SCIE

Volume: 30

Issue: 3

Page Number: 993-1001

ISSN: 1738-494X

Key Words: PGT; M-DOF dynamic model; Time-varying mesh stiffness; Load-sharing; Manufacturing and assembly error

Abstract: A Multi-degree-of-freedom (M-DOF) nonlinear dynamic model for n-pinion Planetary gear train (PGT) is presented in this paper to investigate load sharing behavior of planet gears. In this dynamic model, manufacturing and assembly errors, elastic deformation and time-varying mesh stiffness are considered. Two sets of elastic compatibility equations are proposed to describe compatibility relationship between displacements, errors and elastic deformations. By means of Ishikawa formula, time-varying mesh stiffness of the gear pair is determined. The dynamic motion equations are solved with Runge-Kutta numerical integral method, which yields the displacements and deformations of each component. With the model, dynamic load sharing behavior of planet gears is evaluated. An example of 3-pinion PGT dynamic modeling is included, for which the influence of floating sun gear and adding flexible planet pin on the load sharing characteristics is analyzed.