Abstract
Since there are backlash friction and time-varying stiffness, the characteristics of gear pair has strong nonlinearity. When a gear has faults such as pitting, spalling and tooth breakage, there are often some nonlinear characteristics as super-harmonics or sub-harmonics along with vibration signal. These characteristics will cause some difficulty for fault diagnostics, so it is necessary to study the mechanism of nonlinear vibration. Fourier expression was used to describe time-varying stiffness, a factor was used to depict gear fault level and nonlinear dynamics model for gear fault level was established. Simulation results show that, with certain friction and rotating speed, the nonlinear vibration has direct relationship with rotating speed and gear friction and has no direct relationship with fault types.
Highlights
Much work has been done since the first paper on gear vibration had been presented in 1920 [1]
Up till the research on mechanism of nonlinear vibration of gear fault is very few, the fault diagnostics of a gear is more concentrated on methods of signal processing, such as time domain analysis, frequency domain analysis, time-frequency joint domain analysis, etc. [8, 9]
The nonlinear dynamics model of a gear pair is shown in Fig. (1) considering friction and backlash
Summary
Much work has been done since the first paper on gear vibration had been presented in 1920 [1]. The gear vibration has strong nonlinearity because of teeth friction, backlash and time-varying stiffness when the gear pair works normally [2,3,4,5,6]. The nonlinear dynamics integrated model of normal gears and fault gears is established considering friction, backlash and time-varying stiffness. 2. NONLINEAR DYNAMICS MODEL FOR A NORMAL GEAR PAIR CONSIDERING FRICTION AND BACKLASH. The nonlinear dynamics model of a gear pair is shown in Fig. The nonlinear dynamics, according to works of [2, 11] with friction and backlash of the gear pair are as follows. The non-dimensional equations of the gear pair nonlinear dynamics are obtained as below,. 3. NONLINEAR DYNAMICS MODEL OF A FAULT GEAR PAIR CONSIDERING FRICTION AND BACKLASH
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
