TY - GEN
T1 - Nonlinear Dynamic Analysis of Involute Spur Gear-Shaft Transmission System
AU - Wang, Zhen
AU - Liu, Hui
AU - Xiang, Changle
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
PY - 2022
Y1 - 2022
N2 - In this paper, the coupling dynamic model of involute gear-shaft transmission system is established by combining the method of lumped parameter and the finite element method. The nonlinear transmission shaft model is established by using the three-dimensional beam element. The nonlinear time-varying gear mesh model of the involute spur gear is established by using lumped parameter method. In the nonlinear time-varying model, the three-dimensional nonlinear deformation of transmission shaft and the influences of the time-varying center distance, time-varying pressure angle, time-varying position angle, time-varying side clearance, time-varying gear meshing stiffness, gear meshing force under dynamic conditions on the gear meshing parameters are considered. In addition, the influence of the geometric eccentricity of gears is considered in the model. Then, the generalized-α implicit time iteration algorithm is used to solve the system equations and the nonlinear dynamic responses of the system are analyzed. It can be found that the obviously nonlinearity of the gear meshing parameters can be induced by the vibration of the shaft. The operating condition has a great influence on the dynamic responses of involute spur gear-shaft transmission system.
AB - In this paper, the coupling dynamic model of involute gear-shaft transmission system is established by combining the method of lumped parameter and the finite element method. The nonlinear transmission shaft model is established by using the three-dimensional beam element. The nonlinear time-varying gear mesh model of the involute spur gear is established by using lumped parameter method. In the nonlinear time-varying model, the three-dimensional nonlinear deformation of transmission shaft and the influences of the time-varying center distance, time-varying pressure angle, time-varying position angle, time-varying side clearance, time-varying gear meshing stiffness, gear meshing force under dynamic conditions on the gear meshing parameters are considered. In addition, the influence of the geometric eccentricity of gears is considered in the model. Then, the generalized-α implicit time iteration algorithm is used to solve the system equations and the nonlinear dynamic responses of the system are analyzed. It can be found that the obviously nonlinearity of the gear meshing parameters can be induced by the vibration of the shaft. The operating condition has a great influence on the dynamic responses of involute spur gear-shaft transmission system.
KW - Flexible shafts
KW - Involute spur gear-shaft system
KW - Nonlinear dynamic responses
KW - Nonlinearity
KW - Time-varying
UR - http://www.scopus.com/inward/record.url?scp=85127880073&partnerID=8YFLogxK
U2 - 10.1007/978-981-16-7381-8_35
DO - 10.1007/978-981-16-7381-8_35
M3 - Conference contribution
AN - SCOPUS:85127880073
SN - 9789811673801
T3 - Mechanisms and Machine Science
SP - 525
EP - 539
BT - Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021
A2 - Tan, Jianrong
PB - Springer Science and Business Media B.V.
T2 - International Conference on Mechanical Design, ICMD 2021
Y2 - 11 August 2021 through 13 August 2021
ER -