Abstract
This paper studies the dynamics of a two-stage gear transmission system in both the normal state and the fault state with tooth breakage. The torsional vibration model of the two-stage parallel shaft gear was developed by using the lumped parameter method. The time-varying meshing stiffness of the gear transmission system is described by Fourier series which is determined by the periodical meshing characteristics of the gears with both the single-tooth and the double-tooth contacts. By introducing the pulse into the regular time-varying meshing stiffness, the tooth breakage existing in the gear transmission system is mimicked. Based on the numerical simulation of the developed dynamic model, both the time domain analysis and the frequency domain analysis of the gear transmission system under both the normal condition and the tooth breakage are compared accordingly. The influence of the tooth breakage on the dynamic characteristics of the gear transmission system is analyzed comprehensively. Furthermore, based on the developed test bench of a two-stage gear transmission system, the experimental research was carried out, and the experimental results show great agreements with the results of numerical simulation, and thus the validity of the developed mathematical model is demonstrated. By comparing the periodic motion with the chaotic motion, the fault identification for the gear transmission system is verified to be tightly related to its vibration condition, and the control of the vibration condition of the gear transmission system as periodic motion is of great significance to the fault diagnosis.
Highlights
The gear transmission system is a key component of wind turbines, aircraft engines and other equipment
The gear transmission system transmits power and movement through the meshing of gear pairs, which includes a series of nonlinear factors during the meshing process: time-varying meshing stiffness, meshing error, meshing phase of different tooth pairs, tooth side clearance, friction and wear, etc
Sun et al [11,12] constructed a multidegree-of-freedom nonlinear torsional vibration model of a planetary gear transmission system, and their study found that the increase of the gear gap will affect the meshing state of the gear pair
Summary
The gear transmission system is a key component of wind turbines, aircraft engines and other equipment. Kahraman [2] proposed a dynamic torsion model of single-stage planetary gear transmission. Aiming at studying the error excitation, Yuan [4] established a multi-degree-of-freedom model of the planetary reducer, derived the dynamic differential equation of the vibration system, and analyzed the interaction influences of the meshing stiffness of the gear pair and the excitation of the meshing error. Sun et al [11,12] constructed a multidegree-of-freedom nonlinear torsional vibration model of a planetary gear transmission system, and their study found that the increase of the gear gap will affect the meshing state of the gear pair. Wang et al [31] studied the nonlinear dynamic characteristics of a single-stage gear system with wear faults.
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