Abstract
In a multi-stage gear transmission system, the motion state of the system will change with the excitation frequency, and the frequency characteristics will also change accordingly. If this change is not taken into account, there is often a great deviation in identifying and judging system faults according to unified standards, especially when the system has such early undetectable fault as crack. In this paper, the dimensionless differential equations of motion of multistage gear transmission system are established. The stiffness model of gear tooth crack is established by potential energy method. The changes of the motion state of the system with the increase of excitation frequency are obtained by calculating the displacement bifurcation diagram of cracked gear tooth. The influences of crack fault on each motion state are studied by using time domain, frequency domain, phase diagram and Poincaré cross section, and the fault frequency characteristics are summarized. By comparing the theoretical and experimental data of the vibration response characteristics of the system, the motion state of the system can be effectively determined and the crack fault can be identified.
Highlights
Fatigue crack has always been one of the main forms of gear failure
Due to the complexity of the working conditions of the multi-stage gear system, the double increase of manpower and material resources consumed in the experiment, and the coupling characteristics of the system, the vibration response of the crack fault of the multi-stage gear system is not clear
In order to study the effect of cracks on the vibration characteristics of the system, the analysis should be carried out separately for different motion states
Summary
Fatigue crack has always been one of the main forms of gear failure. It is difficult to identify in the early stage, but when the crack is discovered in the middle and later stage, it may have a great impact. Previous scholars have focused on studying the bending fatigue strength of a single gear tooth and testing the bending fatigue life from the perspective of material fracture mechanics [1] It is important to find out the vibration response of the multi-stage gear system crack failure, and to combine the existing theories with practical applications to propose effective diagnostic indicators. EFFECT OF EXCITATION FREQUENCY ON NONLINEAR VIBRATION OF CRACK FAULT IN MULTI-STAGE GEAR TRANSMISSION SYSTEM. Because research on dynamic coupling mechanism and fault mechanism of multi-stage gear transmission system is not perfect, in order to solve the problem of fault identification, many scholars choose to analyze the experimental signals. In order to analyze the fault vibration response of a multi-stage system from the source, it is necessary to study from the perspective of nonlinear dynamics.
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