Nonlinear dynamic analysis of two external excitations for the gear system using an original computational algorithm. (October 2020)

• Record Type: Journal Article
• Authors: Liu, Fuhao; Zhang, Liang; Jiang, Hanjun; Zhang, Jielu
• Is Part Of: Mechanical systems and signal processing. Volume 144(2020)
• Publication Date: 2020-10
• Subjects: OCA Original computational algorithm -- DTE Dynamic transmission error; Gear system -- Computational algorithm -- External excitations -- Nonlinear vibration; Structural dynamics -- Periodicals; Vibration -- Periodicals; Constructions -- Dynamique -- Périodiques; Vibration -- Périodiques; Structural dynamics; Vibration; Periodicals; 621
• DOI: 10.1016/j.ymssp.2020.106823
• Languages: English
• ISSNs: 0888-3270

Abstract

Highlights: A dynamic gear model is developed by incorporating two external excitations. An original computational algorithm is proposed with smarter time-step methods. The numerical advantages of the original computational algorithm are illustrated. The influence of two external excitations are systematically investigated. Abstract: In this work, a dynamic gear model has been developed by incorporating both the driving speed and the drag torque as external excitation sources. An original computational algorithm, with adaptive selection of the time-step method (for guaranteeing precision) and smarter time-step reduced method (for increasing efficiency), is proposed by defining a very small transition area between lubricant and solid contact. This algorithm can overcome the limitations of known prior research work and make sure an accurate determination of the time and position for lubricant/solid contact. Numerical results are presented to illustrate and quantify the influence of the external excitations, as well as the numerical advantages of the original computational algorithm in comparison with various Matlab solvers. The results presented in this study provide an understanding of the external excitations under which undesirable dynamic motion takes place and therefore serve as a useful source of reference for engineers in controlling such gear systems.