Abstract

Thermal effect is a crucial factor leading to failure of gear system. However, the lack of comprehensive nonlinear dynamics model limits the further study of thermal effects. The constitutive relation of beam element considering steady-state temperature is reconstructed, and thermal node load is formulated. Considering the influences of thermal expansion and temperature on material properties, a more comprehensive dynamic model of gear-rotor-bearing system is established based on the finite element node method. Nonlinear friction, high-speed gyroscopic effect, thermal-related time-varying meshing stiffness (TVMS) and thermal backlash are included in the model. The effects of temperature and bearing type on the vibration response of gear system are analyzed. The results show that the system motion changes from period to chaos with the temperature increase in part of the speed range. The appropriate backlash could restrain the chaotic motion caused by temperature rise. Moreover, the temperature significantly increases the axial bearing force, and the appropriate bearing could reduce the axial displacement. This research can further understand the influence of temperature on the dynamic response of gear system and guide the design of gear system.

Highlights

  • In the aerospace and other fields, the gear transmission system under high-speed and heavy-load conditions will generate great heat due to friction, which makes the temperature inside the gearbox much higher than the room temperature[1,2,3,4]

  • Considering the material properties, meshing stiffness and backlash related to temperature, a multi-degree dynamic model is established based on the finite element node method

  • The influence of thermal effect on the dynamic response is illustrated by analyzing the bifurcation diagrams of different steady-state temperature fields with the change of rotational speed

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Summary

Introduction

In the aerospace and other fields, the gear transmission system under high-speed and heavy-load conditions will generate great heat due to friction, which makes the temperature inside the gearbox much higher than the room temperature[1,2,3,4]. Based on the lumped-parameter method, he established a gear-rotor-bearing system that considered factors such as flash temperature, meshing stiffness, friction, backlash, and comprehensive transmission error He analyzed the nonlinear phenomenon of the system through the bifurcation diagram, phase diagram, and Poincaré diagram. We use the finite element node method to establish a dynamic model of the gear-rotor-bearing system considering nonlinear factors such as steady-state temperature, thermal node load, TVMS, backlash, friction and gyroscopic effect, etc.

Thermal node load
Time-varying meshing stiffness
Thermal profile error
Dynamic model of a gear-rotor-bearing system
Gear rigid rotor
Gear pair meshing modeling
Flexible shaft element
Assembly of system dynamic model
Gear-rotor-bearing system model and parameters
Vibration response
Findings
Conclusions
Full Text
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