Vibration characteristic analysis of gearbox based on dynamic excitation with eccentricity error
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DOI 10.1007/s12206-020-1014-6
Journal of Mechanical Science and Technology 34 (11) 2020 Original Article DOI 10.1007/s12206-020-1014-6 Keywords: · Dynamic model · Eccentricity error · Friction excitation · Vibration characteristics
Vibration characteristic analysis of gearbox based on dynamic excitation with eccentricity error Wen Liu, Hang Zhao, Tengjiao Lin, Biao Gao and Yun Yang State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China
Correspondence to: Wen Liu [email protected]
Citation: Liu, W., Zhao, H., Lin, T., Gao, B., Yang, Y. (2020). Vibration characteristic analysis of gearbox based on dynamic excitation with eccentricity error. Journal of Mechanical Science and Technology 34 (11) (2020) 4545~4562. http://doi.org/10.1007/s12206-020-1014-6
Received May 21st, 2020 Revised
August 12th, 2020
Accepted August 15th, 2020 † Recommended by Editor No-cheol Park
Abstract
In this study, the vibration characteristics of gearbox considering the eccentricity error and the friction excitation of helical gear pair were evaluated theoretically and experimentally. A geometric model of a single-stage helical gear pair with eccentricity error was established to obtain the calculation formula of the length of the dynamic contact line and the friction excitation. The multi-degree-of-freedom dynamic model of the transmission system was established considering the influences of tooth friction, support stiffness and damping, meshing stiffness and damping, static error, and dynamic tooth backlash. Then, the dynamic meshing forces of the system were obtained and applied to the gearbox for vibration response analysis using mode superposition method. A correlation test rig was developed to measure vibration under different operating conditions for verifying the correctness of the simulation models. Comparison between simulation and test was performed to demonstrate the accuracy of the proposed model in predicting vibrations. Results showed that eccentricity greatly influenced the overall vibration characteristics. The relative error between measurement and prediction can be significantly reduced by considering the eccentricity error in the dynamic model of transmission system.
1. Introduction
© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Gearbox of high reliability, lightweight, and low vibration is an indispensable part of the modern industry. In this paper, the research on the vibration mechanism of the gearbox provides a certain guiding significance for reducing the vibration of the gearbox. The internal excitation of gear systems is an important source of vibration; it is produced during gear pair meshing, which is mainly influenced by various factors, such as mesh stiffness, transmission error excitation, and friction excitation. [1]. The internal excitation of a helical gear pair is closely related to the change of the contact line length. Kar and Mohanty [2] considered a piecewise linear function to represent the le
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