Transmission Error Analysis and Disturbance Optimization of Two-Stage Spur Gear Space Driven Mechanism with Large Inertia Load

Shock and Vibration, Jun 2018

For the nonlinear disturbance actual issues of the model space drive mechanism two-stage spur gear system, a nonlinear dynamic model of 14-DOF (degree of freedom) two-stage spur gear with time-varying stiffness and damping was established. This model has been developed previously by the authors to access the large inertia on the dynamic response of spur gear space driving mechanism, and its effectiveness was proved by a motion simulation experiment. In this paper, the profile error (PE) and the index error (IE) were enhanced in the dynamic model. The effects of profile error, index error, and variable load torque on transmission error (TE) were analyzed, while the optimization was proposed according to the analyzed result. The peak-to-peak value of the optimized load transmission error (LTE) was reduced by 60.7%, which improved the transmission accuracy and reduced the phenomenon of disturbance. The research of nonlinear dynamical model of two-stage spur gear and the TE of the large inertia load were enriched, which provided an important reference for the actual design of the gear system.

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Transmission Error Analysis and Disturbance Optimization of Two-Stage Spur Gear Space Driven Mechanism with Large Inertia Load

Transmission Error Analysis and Disturbance Optimization of Two-Stage Spur Gear Space Driven Mechanism with Large Inertia Load Jianfeng Ma, Chao Li, and Lingli Cui Key Laboratory of Advanced Manufacturing Technology, Beijing University of Technology, Chao Yang District, Beijing 100124, China Correspondence should be addressed to Jianfeng Ma; moc.361@14284621681 and Lingli Cui; moc.361@ilgniliuca Received 4 November 2017; Revised 20 March 2018; Accepted 2 April 2018; Published 13 June 2018 Academic Editor: Dario Di Maio Copyright © 2018 Jianfeng Ma et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract For the nonlinear disturbance actual issues of the model space drive mechanism two-stage spur gear system, a nonlinear dynamic model of 14-DOF (degree of freedom) two-stage spur gear with time-varying stiffness and damping was established. This model has been developed previously by the authors to access the large inertia on the dynamic response of spur gear space driving mechanism, and its effectiveness was proved by a motion simulation experiment. In this paper, the profile error (PE) and the index error (IE) were enhanced in the dynamic model. The effects of profile error, index error, and variable load torque on transmission error (TE) were analyzed, while the optimization was proposed according to the analyzed result. The peak-to-peak value of the optimized load transmission error (LTE) was reduced by 60.7%, which improved the transmission accuracy and reduced the phenomenon of disturbance. The research of nonlinear dynamical model of two-stage spur gear and the TE of the large inertia load were enriched, which provided an important reference for the actual design of the gear system. 1. Introduction The gear transmission system is widely utilized in machine tools, aerospace application, ships, and wind power as well as in other fields. It is of great significance to perform dynamic modeling and failure mechanism analysis on key parts of gearbox such as gears and bearings [1–3]. The large inertia load in the space drive system has a significantly wide range of applications, because the load inertia of the entire system is relatively high compared to the transmission part, posing new problems and challenges in the transmission accuracy, life, reliability, and safety of the spacecraft transmission system. The main difference between the gear system and other mechanical systems is the corresponding internal excitation. Three types of internal excitation exist in the gear system: stiffness excitation, error excitation, and meshing shock excitation. The PE and IE caused by gear machining are the main error incentives for the gear system. At present on the gear system modeling, it is necessary to establish a nonlinear time-varying dynamic model including time-varying stiffness [4] and transmission error. Junguo Wang [5] studied the torsional vibration model of a single-stage spur gear drive system, analyzing the effect of stiffness on the dynamic behavior of the locomotive gear transmission system. Lassâad Walha [6] and Kamel Abboudi [7] established a 12-DOF nonlinear dynamic model for the two-stage gear system, only considering the gear system itself without the effects of input and output in the model. Parker [8, 9] and Fernández [10] established a finite element model of gear transmission, based on the finite element contact mechanics theory. Wu [11] established a dynamic finite element model of the gear transmission system based on finite element analysis software. To improve the accuracy of time-varying mesh stiffness, a universal gear profile equation that references the actual manufacturing process was applied to calculate the meshing stiffness by Lingli Cui [12]. The analysis of the dynamic characteristics of the large inertia load space drive mechanism is less relevant in the theoretical research, which mainly utilizes simulation technology for both analysis and research. Tianfu Yang [13] considered the impact of a high reduction ratio and studied the dynamic characteristics of the space manipulator, whereas the characteristics of the large inertia load were not analyzed. Zhigang Xu [14] proposed an equivalent simulation method for an excessively large inertia load, simulating the large moment of inertia required by the space manipulator and verified the effectiveness of the method by numerical simulation under different working conditions. Chen Shiqi [15] established a bending-torsion coupling nonlinear dynamic model of a low speed overload planetary gear drive system with friction and studied the effect of friction on the nonlinear dynamic behavior of a low speed overload gear transmission. Ahmed Hammami [16] developed a model of planetary gear torsional concentrated parameter with dynamic recirculation and studied the (...truncated)


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Jianfeng Ma, Chao Li, Lingli Cui. Transmission Error Analysis and Disturbance Optimization of Two-Stage Spur Gear Space Driven Mechanism with Large Inertia Load, Shock and Vibration, 2018, 2018, DOI: 10.1155/2018/6863176