Abstract
Root crack is relatively common failure scenarios in spur gear system, and its dynamic characteristics and crack identification theory are addressed by many scholars. However, cracked spur gear identification model, especially related to its signal propagation characteristics, requires in-depth research due to the limited published works. Therefore, a bending–torsional coupling nonlinear vibration model of six degrees of freedom (DOF) is established through lumped mass method. Besides, the influence of tooth root crack on the measuring point signal is considered in the model. The system response is solved by Runge–Kutta numerical integration method. The change of different tooth-root crack depth on the response amplitude of measuring points is studied. It is found that with the increase of crack length, meshing stiffness of single-tooth mashing area and double-tooth meshing area are reduced. In addition, precision reduces slightly, but the overall precision calculated by 6-order ARX identification model is greater than 99.40%. The research provides a theoretical basis for the system testing and measuring point’s parameter identification.
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