Research on nonlinear dynamic performance of the central bevel gear transmission system in aero-engine with complex excitation

Abstract

For the requirement of the vibration control and fault diagnosis of the central bevel gear transmission system in an aero-engine, this paper proposes a 12-degree-of-freedom dynamic model for the first time in order to investigate nonlinear dynamic behavior of the central bevel gear transmission system considering the internal and external excitations. The dynamic model is developed by the use of lumped parameter modeling. Time-varying meshing stiffness, gear backlash and gear transmission error are included in the internal excitations, the input power of the central bevel gear transmission system, the speed fluctuation of the driven shaft and the high-pressure rotor unbalance excitation are included in the complex external excitations. Using the bifurcation diagram, the largest Lyapunov exponent, time domain diagram, frequency domain diagram, phase diagram and Poincaré map, the effects of input power change, driven shaft speed fluctuation excitation and high-pressure rotor unbalance excitation on the complex nonlinear dynamic behavior of the central bevel gear transmission system are analyzed. The increase of input power, reduction of speed fluctuation and control of high-pressure rotor unbalance are beneficial to expand the stable area of the system.

Keywords:

• Aero-engine
• central bevel gear transmission system
• spiral bevel gear
• complex excitation
• nonlinear vibration

Disclosure statement

The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

Additional information

Funding

The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was financially supported by the Natural Science Foundation of Liaoning Province (granted No. 2019-KF-01-08), Key Laboratory of Vibration and Control of Aero-Propulsion System Ministry of Education, Northeastern University (granted No. VCAME201903) and National Natural Science Foundation of China (Grant No. 51705064).